Maths-
General
Easy
Question
Extreme Values:The range of ![f left parenthesis x right parenthesis equals negative 3 cos space square root of 3 plus x plus x squared end root](data:image/png;base64,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)
- [-1,1]
- [-2,2]
- [-3,3]
- [-4,4]
Hint:
In this question, we have to find the range of the given function. We know that the range of cos y is [-1, 1] using the inequality from it, we can find the range of given trigonometric function.
The correct answer is: [-3,3]
Related Questions to study
physics-
What is the equivalent resistance between
in the given circuit?
![](data:image/png;base64,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)
What is the equivalent resistance between
in the given circuit?
![](data:image/png;base64,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)
physics-General
physics-
The current in the 1
resistor shown in the circuit is
![](data:image/png;base64,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)
The current in the 1
resistor shown in the circuit is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPwAAADjCAMAAACW9YkbAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAALfUExURf////v7++fn5/Ly8uXl5YyMjLm5ufT09Pz8/PX19fDw8LKyskVFRWZmZsHBwf39/dPT04eHh46OjtjY2NTU1JKSkt7e3tXV1YGBgU1NTTo6OoqKiu/v76Kioi0tLaioqDg4OLS0tPb29q+vr1RUVI+Pj1FRUWpqaujo6P7+/sXFxXp6ekpKSikpKYKCguDg4IiIiCsrK9nZ2fPz84uLiz4+PsnJyY2Njba2tvf395aWlmVlZZWVlX5+fmlpaaCgoLq6unJycmRkZIWFhWdnZ8rKynh4eMDAwIODg9LS0nBwcN3d3VtbW7Ozs8PDw+7u7mBgYGJiYmNjY2hoaGtra2xsbG1tbW5ubm9vb4SEhM7OzpSUlOzs7NHR0ZeXl56envj4+Pn5+Xl5eVZWVru7u9zc3FdXV3V1de3t7ebm5nR0dHFxccLCwl9fX2FhYZGRkczMzK6uriwsLD09PUdHR0ZGRkhISElJSUtLS0xMTKamptbW1qSkpHd3d9fX17y8vOHh4aysrLGxsbe3t0RERE5OTkFBQZubm/Hx8evr6+rq6unp6eTk5OPj4/r6+sbGxllZWZ2dnZCQkEJCQlxcXNvb25mZmXt7e15eXjY2NpycnKmpqaOjo5qamlJSUq2traqqqri4uMjIyMTExNra2pOTk9/f3zs7O4CAgFNTUz8/P729vQ4ODr6+viAgIImJiTk5OaGhoc3NzS4uLtDQ0JiYmMvLy3x8fHZ2dh4eHrW1tVpaWi8vLwYGBjw8PCoqKiUlJbCwsE9PT1BQUFVVVeLi4r+/vzExMTU1NTc3N8fHx0BAQBQUFBUVFaenp6urqxcXF319fTQ0NJ+fnxgYGM/PzzAwMDIyMjMzM39/f0NDQxkZGaWlpV1dXScnJ3NzcxoaGhYWFh0dHSQkJCEhISYmJoaGhlhYWCgoKBERESIiIhsbGx8fHwUFBQgICAkJCQcHBxISEiMjIw8PDwAAAJkzB80AAAD1dFJOU/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////8Awu13zwAAAAlwSFlzAAAXEQAAFxEByibzPwAACqlJREFUeF7tnd156ygQht0AvdAHF9MEBdAAd9TANcVQBC1Iz5MedmZAspKc3WNkYWvlefVj5CRI8DGAkJjcBEEQBEEQBEH4KwAt8IGAti2EbPPhA/IEUlBr6p3WpgVvZhO+KkaHolsYUplTC99SCWv4qqQQs2ol3PkwL3KDnvPVpYdYnM62pl6riCsHb9YrrS4uvfMKrNeceKe8cTlzGLyyNtfvT4XRKq9LW/vxuGlHSoMOjuKNpLqvxcCgLVAGYBBSO9W3E+46Z4NOjRutms/cQZrDw+S2tmWz0vfKJbLrFCjBJnsMW5SfEpwxU5LCqhAs/mI/P068LJsgL2GpbB8lza41wriHZaG17mp4+eaPmPZZo3EeE8zpxfhiQLmN8igJKLQBpyk3iH8552bbrv9BOzt+mGZljxPng2thE7Mli+ciaHM0N1u43sMqDyJuFB5DVi3wKBGVPxZMMHZ2at2OOYEpJvmpSGSsEQ/O6m9Q2eoilqMvB8t99KplKeZEVLWJx4YQWzz+dgxwAuWxaguodzvAxmRp+R1Wipuu//GcQHlM5LReBVbv09LnM7oMbevPoDyp3Xp2CNVxLXgzdqTF71H+6NoeMW5zEW57MJR+5amdvwqnUP5NoPKdiRflr4HYfBcfbfMD2vlfdF7SblR34o/v4YGL9y484F2s1yPv5VZOoTzEac1RsJ7HOqJ5QfJ39O2PTjzY8BXaVWA4J2NiKC/Qvr+2P155vKUtZUm8nuleBj+G3sg3dih/8FUZ7VNelHe5jmrYcngB+w10V3hHt/No5MnmRXkb6liuy/PQO3mGRwm7OLqdd1oD6gzA14EmX4ewcnlF4t9c24NXDhIW8tgSXRNvVS0BY3lzbY+1+5xzmaZQbd34wp/pFY/q3t63d1opFeZJtacnqT611S95SPv+2h4VwGJfrwIA2z3MBeOVGd/LebvNM2vibbSJxvOij9gI8FcD2VHbH9/Dc+prilyerCrz5G+3MM0lH5/JP3h/O4+YqHztzULCGgAVj0r5mh1DeXs7/0ZOofy7eH8P7418tPJi812IzV8Dsfkuju/hvQ1RvouPVv5CiZd2vovPbueltr8GonwPovw1EOW7EOWvgbTzXYjNX4N+5S+UeFG+C1H+Gny08tLOdyE2fw1E+S5E+YfojPgNDFMe7OlLyDjlyR3AEjXYtD7pMJvw84DjyHa+sThKeRPvHinAhuoOgFjeqz4GUx0ubObodDBMeaN8WPIVM2JeXF/c4rS6AjoAU99T1r0SVgYpT34gfG7l3iqffZUbnA+qhY/A1cT7ZaZGF/3Kp8cSr7Oz5Aalhq1dzhNVtNnvudQ/YqpvEZ/5qJd+5edobeKlrbz9IHptKAPoL1B4AJ+5TsLMNrjV/DNLRN+iW2Kk7c841wJ4nkX5b7/9K07efhO6lf+a57l8X+4fjZCVhZvl+WHg6W3aVL2AoOocpu9NyhjVPbIlUFeK6360JXi1hEKZqs1Pyzd46sBx1riWZRu4szqoeBRW/gc1XzmT6+Ic6ex4BoHjUm7YC5TRZO/GY3Ezydu7ghsWkVg42mhNeNQix9ixyDRi9SL3Q/lf1J8uca1R9Sv/+GQDiDmtDjFsiJjiQPrz97Y5hHkOF6o/oVfV9h1D1+T+x7XZMoYcfcU2a857R36RnsfVCKko9TOqtq8AtmrN3RFLX+eQkPQhduf6H2m1/bna+QpEcr/WSjfmhF98ATmsEfmqn6Upvy/xO5TveWJj1MQO35ikyjJZzuhyzFxZqJ503D4TGqo8SlLWzAXjw+rwyG1dvr6LfuX7Eu/SJpF4P9d5ssEMVv77iMa5kj7a5k/OaOXPzGibPzfDlf8WPc2S7zzfv7CNaBNjV+Rje3gYf9q68zNahezXhn8/5DxxHQ4zavWXaPGOuQUfYazyToewXg1Y8rebw/MOTfEWMftcal+ZHCkuQ3h+zh2JH1rb4x27mu5vqBtVosELn5+eIpzIswbEuY4IYaCNjkCnh5m+coJ0KG/wvjnf3f/gJVPYlTr6sh/MRSrnZrltcM0fPKTSI/xgmzfYpb0nXhdWCnxTbDeu5egyWo8xcirAF89fPMrg2h5FWhOvqkcI0HPfJf7CZkXVxzoajorXMtX5SGB0O79Vvt3XYAno9dPxg5SDz6HMq5NyzFe0dUjsXamDkTaPbJXXgRXHTHjuVh4rD3rugfm6mg/fIeMXXcIPtvlviacHVXSuTbO8E1SersHk1U+yzdgG2bD4jH6U1ymP4cBjuk+7MU71qQf4vDQboKdodIl9Ee+x+R7dsAJueQUOu2V4deTR+JuT336wwuPE6zXxN1tU8venoQ/SrXzXAKZB84yGz2BijOSw3WYf27+x2AsWoVrs1ZqJxofAj0J6GFrb01PJaSrVqyHEMk/4t3GaZxrCf4ZE1o3FfG3ssOs8f91HCx9lqM0DPWpJif8AjI0JL88k/Og8509MxBukskk7fhW+enssw2v7QWD1kbHQtyMmNVc7PQyu7U/N6Nr+3Kiu+yDkFMX+GIbW9qen+/nmhyt/IZsf2cM7OZ9u89LOP86Fir308LpI16nt6c3IFnwQsfmLIDbfw4VsXpTvQmz+GojNdyE2fxFE+R7E5q/BZ9u83NX1cCWbF+V7uJDNy0hOF5ey+d52/krFvruTIz28a/DZPTxRvoeP7uEdW+zbPyV9D+9WHvTmtcltTrwkV95r87B9Tdz5uyMJp49wKvEX9rTzBybe6FDnniCQSvX+QaRSDph+9ze6e3iHKp+yXj2WWM8TKBjQM7sWGcubbV4Xp8mjDhFVbI5VMCOU0uRdZzB7a3u64D9tm91fAecV2PqaPDjljcv1rUDwytq8vD7PPx6w7VDeFuW917QsxIgrkniXcK2wJ56Go6VhaEFIbFicSGGYpOBiYDI5lGL/Ycbi2f4b/Xujy7t/3jdaN59r/j6K8zmEHDLCu6x442XF00Jro11Hyywk4pZMIruOPEmgTo+0vIeUI71VjlUhFoxA1HPW3WbZBLfLsvt9gB8crrs2GbcDMECysXxNysXNE2vN1FJARaImlrOa4DxpWWS49DlylUTpxQPg9zsNi27onWijvcMmn875fWkrb31goeOSh7vn+xI8kR13NKP9B3SZvK9sL5TOX//eRCz3KDyrYHM0tzQ3zz8W2BiuDHnNSqHOkyDfedCcKmF1SCsFr4tROvo2rRy7fLF5jyMb0GT3lwbL9n1uJGisUFtPwobwgsb+vYDL0/rWP9hc54MjRj89+fL8oKHfJ9qR/7zlwNRZadcG+z0thLjn5poKgiAIJwX7/y3EYbofaEfXhzwqtCAfkLvkTdN3bVz+Wh3n4J0M3vGGTafn2phY1sSTvyss9XF+xdjtCYCY9bzcu9nMw6OQ7y5wLo3VOq0urWKo46mx7PLW/3/DaO3S6ixr8QX8GYmH5C0Z+q3ezehQE9+8x10bsEE752dl6xBeaomP4QNsHuJE/2zga2reEV31JkWOnz4g8S5GrcMUyIMOHeuZanvTCsAnQDZPYMe2DuLTI6wPGdIwfqoWDvTYK1saxI+6/2nK/xGs9LDY11Au85xuDvdh6/vpwpgY20ClSVEnww7U4kcILwiCIAiCIAiCIAiCIAiCIAiCIAiCIAgbbrd/APaRgZVOrCZpAAAAAElFTkSuQmCC)
physics-General
physics-
The current in the 1
resistor shown in the circuit is
![](data:image/png;base64,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)
The current in the 1
resistor shown in the circuit is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAUgAAAEPCAYAAAAgSV3nAAAgAElEQVR4nO3dZ3Bc13338e82YBcdWBC9EL2zgCAJkmATiySqWHZGlm1NpFj2aOKRE9sZx8mLTMaeZCaZ+EkmieO4SIkyiaOxotiyRKpQIkUSAAEQlWhE770QHdhd7O7d54UGG4LEohEgscT/M8MhuXvPrbu/Pfecc+9VORwOB0IIIe6hftgrIIQQW5UEpBBCuCABKYQQLkhACiGECxKQQgjhggTkNiADFYRYHwnIbUClUjE3N8fQ0BBzc3MPe3WEcBsSkNtEU1MTb731FvX19Wsq56r2uZpaqdRchbvTPuwVEJvL4XAwOztLZWUlH374IWazGQ8PD1JSUtDr9SuWV6lUTE9PU1FRwfz8PEajkYSEBAICAlZV1m63093dzcDAAFNTUyQkJJCUlLQRmybEppOAfMTNzc1RW1tLdXU1DQ0NWK1WtFot4eHhqwpIgJ6eHn7xi18wOjpKZmYmL730Env37l1VWYvFQkFBAVeuXKGnp4cXXnhBAlK4DTnFfsTNzMxQVlbG3Nwce/bsYXBwkPz8fCwWy4plFUVhYmKCxsZGurq6KC4u5r333qO1tXXVy1epVJSXl3P58mUaGxtpbW2lt7cXm812P5slxAMhAfmIGx8fp7i4GLvdzpNPPom/vz9dXV2MjIysWFZRFG7evEldXR1+fn7o9XpGR0fp6OhgeHgYu92+4jxu375NV1cX4+Pj+Pv7MzExQUVFBWNjYxuxeUJsKgnIR9zQ0JCzxnju3DmOHj1KYGAgtbW1dHR0LNuR4nA4yM/Pp7a2lmPHjvHSSy/x+OOPMzAwwOXLl5mdnV122b29vZSWlqJWq8nOzubcuXN4enpy5coVhoaGNnpThdhwGxqQ0mu5dTgcDkZGRujq6kKn0xEWFkZcXBzZ2dnExsZSX1+/Yo92X18f9fX1TE5OcvDgQZ5//nnOnDlDd3c3H330ERMTE8uWb2pqoqSkhKCgIB577DHOnTuHl5cXxcXFdHd3b+TmCrEpNjQgVSrVRs5O3Ae73U5lZSUtLS0cPHiQXbt2AZCWlkZGRgbNzc3U1dWhKMqS5fv7+6mqquL27dv4+fmRlZXFoUOHOHbsGMPDw+Tn5zM4OLjsOjQ1NVFZWUlsbCxPPvkkx48fx8/Pj5aWFtra2piamnK5fCG2gg3vxR4eHubSpUvU1dUxMDCAw+FAo9HcM51KpcLhcLgM1btfX034rrXMapf9IJax8P/72Sc2mw2Hw8HTTz/NwYMHKSgooLKykkOHDpGSkgJARkYGQ0NDvPXWW3h7ezMzM4O/v/89y2poaODKlSuEhoayZ88efH19AYiMjCQrKwur1Up1dTVBQUEkJibeU35iYoLW1lb6+vpITk5m3759qNVqYmJiyMzMpK+vj4qKCnJzczEYDIu2oba2ltLSUsrKyrBYLOh0umX3yZ1nLktNt57jvJHz2KrLX+79O19by2dyudcVRUGlUjk/A/v37ycwMHDZdXvYNjwg+/v7+Y//+A/Ky8sxm80AqNX3VlSXC8jVhNBqDsxKX6qNWPZa12Op5a52+1YqNz8/j6IoREdHs3fvXubm5tBqtezatYudO3cC4OHhQUJCAoqiMDQ0RE9PDwaDAQ8Pj0XzunXrFhUVFTzxxBMcO3bMeQy9vb05duwYKpWK0tJSDAYDCQkJi9ZlamqKhoYGRkZGMBgMxMXFOX8kk5KSOHXqFG1tbeTn57Nr165FATk6OkpBQQEXLlyguLjYOW5zuX2ynoBcy4/geue9sF4bsfyNWqcFa123jVj+QkAGBQVx4MABYmNjt19ATkxMUF1dzaFDh/jBD36ARqPBbDbfExJ3WqntcqnpVzu/u79A97PM5ea51vnd+frdX6j1zlNRFBRFIS0tjcDAQL71rW8xNzdHVFQUfn5+zum8vb3Jzc1lenqa0tJS9Hq9sxZosVjo7u6mubmZyclJMjMzOXDggHMdVSoVhw4dYnp6mr//+79Ho9Hwta99bdHxGB4epqCgAJ1Ox7FjxxZ9CZKTk5mdneXy5ct0dnbyyiuvYDQagc97vGtqaigqKiIuLo4//dM/xWAwOIckrXTcV7vfViq7lmW4OnZrWZeHvZzVfF/WsgxX03t6emKz2fjZz37GpUuXePnll51nNlvVhgfk/Pw8Y2NjxMTEcPz48Y2evVjG3R90VwOyDQYDubm5VFVVUVRURGxsrDMgx8bGuH79OuPj48THx7Nz5857asOxsbGkpqai0WgYHBykubmZ+Ph4Z02vr6+Pzz77jNjYWE6cOEFQUJCzfGBgIKmpqfj4+NDX10d7eztRUVGoVCpaW1uprKxkfn6etLQ0zpw5sxm7STxk//M//0Nvby8mk+lhr8qKNnyYj1qtxsPDA6vVutGzFqu0UpuTwWAgJyeHoKAgSktLF/UoDwwMcPHiRbRaLU8//TQ7duxYch7R0dGcOHECHx8fLl68SHt7u/O9rq4uCgsL0el05OXlOWuICwIDAzlw4ADx8fGUlpZSV1cHQE1NDVVVVaSlpZGWliajIh5ROp0ODw+PJZvetppNW0P5cD94KpVqVY32np6epKamEhkZyezsLAMDA0xOTmKxWGhra6OhoQGj0cipU6cICQlZch5BQUGcOnUKX19fzp8/T2dnJwDd3d309fURHh5OXFwcwcHB96yTp6cn+/fvJzk5mRs3blBaWsrU1BR1dXW0tbWRnZ1NTk7O/e8QsSW502iXrR/hYsOpVCo8PT2Jjo5mx44djI+PU1lZSVlZGW1tbdjtdmJiYkhISLin82aBl5cXhw8fJjQ0lJqaGnp6ejCZTOTn5zMwMMDRo0dJT093uQ579uwhLS2NtrY2ysrKaGpqore3F7vdTmZmJkaj0a2+SGL1Ftp53aEStSk3q5APtnsICwvjwIED2O128vPzmZ6eZnZ2lqNHj5KWlrZsWa1WS1hYGKmpqSQkJDA4OMjHH3/MhQsXUBSFM2fOkJCQsGRZtVpNZGQkKSkp+Pn5UVdXx9tvv41Op+Po0aPOIUXi0eRO+SA1yG0sNDSUvLw8LBYLly9f5tKlS0xOTnL69Olla393Sk5OJi8vj8HBQd59910qKytxOBxkZ2cTFRW1bNnIyEjS0tKYnZ3l0qVLztN6b2/vjdg8sYWttjnoYZOA3MbCw8PJzc1lbm6OgoIC6urq0Gg05OXlrRhuC2JjYzl79iwjIyNcuHCBqakpIiIiSEpKwsvLa9myPj4+nDhxgsjISLq6uoiMjCQvLw8fH5+N2Dwh7pvcD3IbU6vVREREkJycTGZmJjt27GDfvn0EBweveh5BQUFkZWWRkJBAW1sbiYmJ5OTkrOo02dvbm5ycHKxWK5mZmRw9evSeHm8hHiYJyG1Oq9Vy5MgRfH19CQsLIzk5GUVRVj0EQ6VSERYWxvHjxwkODiYlJYXU1NRlL09b4OnpSWJi4pKXKgqxFUhACjIyMoiOjsbLywtvb+8lr51fSXZ2NomJifj7++Pj4+MW7UtCrEQCUmA0Gu/71DYkJMTlmEkh7uZwONximI900gghhAsSkEKIB85dmmA2PCDdZXyTEEKsRGqQQogHyp0qUBKQQogHyh06ZxZIQAohhAsSkGJJ7vQrL8RmkYAUS3KndiIhNosMFBcMDg5y69YtCgsLCQ8P56WXXsLT03NN82hoaKCqqoqWlhZGR0dRFAV/f3927tzJ/v37SUxMlNuYCbcjASmor6/n7bff5vXXX+fgwYN8+ctfXnVAWiwW+vv7uXbtGp9++inV1dX09/djs9nw8/MjJSWF4eFhTpw4wd69e+VWZmLFB5BtJXLD3G1udHSUy5cv87//+7/A58+rWcvxKygo4M0332RqaoqwsDD+/M//nJCQEObm5mhoaKC6uppf/epXVFRU8L3vfY89e/YsesKi2J7cJSM2rQbpLjtgO+vr66OwsJC+vj78/PwYHx93+YiFu9ntdsbHxykuLuZ3v/sdubm5HD58mGeffdZ5XXdTUxP+/v5cv36da9euOR8Un5WVtZmbJcSGkU6abaysrIx//dd/xWg08kd/9EcEBgau+lGcc3NzVFVVUV1dzdzcHIcOHeL3fu/3Fj3iNSUlhS9/+cscOnQIjUbDtWvXqK+v36zNEWLDSRvkNjQ/P+98gqDRaCQlJYXw8HC8vLxQFGVV85idnaWiooKBgQGio6NJSkpa8tQ5NDSU7OxsOjo6qKmpWfR4WCG2OqlBbkPj4+NcunSJ0dFRnnrqKdLT01EUBUVRVt1wbjabaWxsZG5ujoyMDEJDQ5eczmazkZKSQmxsLIODgwwNDW3kpgixqSQgt5mFZ1+Xl5djtVo5ffo0RqORnp4ezGYzarX6nvbjpULT4XBgs9lQFGXZ9maVSoW3tzcGgwH4PDCFcBebFpDu0IW/3SiKQk1NDVVVVQQEBLBr1y5iY2Px9PRkdHSU+fl5NBqN85nFXV1dzM3NLRmAarUab29vPD09V7z5qcPhQKvV4uHh4QxKIdyB1CC3kdnZWd577z2uXr3KH/zBH/DSSy8Bn9cq7XY7gDMgL1++zD/+4z/S1ta25Ly0Wi1Go5GAgIBln1/jcDiYm5tDrVYTExOzpgeCCfGwSSfNNjE1NUV1dTVFRUVUVVWxc+dO6uvrmZmZob29ndraWubn5+no6OBv//ZvaWtrY2RkhJmZmSXn5+npSUxMDDU1NbS1tTE5ObnkdA6Hg+7ubqanp9m9ezdxcXGbuZlCbKhNGygu4yC3ltHRUerq6pienmZiYoL/9//+35LTdXR08Nd//deEh4eTl5fn8pRYr9eTkpLClStXaGxsdNn5Mj8/T0NDA2NjYzz33HOkpKRs2DYJ9+RO+SA1yG3CaDRy9OhRwsPDGRwcxGazoVarURSF9vZ2qqurKSgoICYmhldffZW4uDiCg4OJiYlZcn4+Pj4cOXLEOVC8v7+fkZERgoKCFj0VcWJigpaWFmZnZ9m/fz+ZmZnO91bzaFghHiYJyG3C398ff3//RQG1oK6ujrfffpvi4mJ27tzJD37wg0Xv3x1kC6fdPj4+ZGVlcfjwYWZnZ7lx4wZ5eXkEBAQAn4djW1sbOp2OmJgYdu7cic1mY2RkhMDAQPR6/SZusRD3TzppBHa7fdnTnjtfVxSF4uJi3nnnHW7cuEFcXBw/+tGP8PPz4+LFi4yNjTmnraiooKCggHPnzvGNb3wDnU7Hb37zG374wx9SW1u76dslxP2SGuQ2Nzk5SWVlJcXFxczNzdHX18cnn3zCwYMH8ff3v2d6h8OB2WympaWFsrIyAgICCA4OJj8/H5PJxDe/+U3ntNXV1bz77rtkZGQwOTnJzZs3aWpqYnJyEovF8iA3U4h1kYDcxsxmM729vRQWFvLZZ58Bn3fmvPXWW2g0Gk6dOnVPGZVKRXR0NDdv3uSNN95gZGTE+V5UVNSigeCDg4PU1NRQU1PjfG337t184QtfICQkZBO3TIiNsWkBKQPFtz6tVsuOHTv40pe+5Oxd9vX1JTw8nJ07dy5ZRqVSERMTw9mzZ/H19eX27dt4eHhgs9mIjIwkKirKOe25c+ecN8l1OBwoisLOnTvJzMx0eWmi2D7cISOkBrmNabVaQkJCeOqpp3jqqadWVUalUhEUFMTBgwc5ePDgktMsdOqcOHGCEydObOQqC/FAbUonjTuNcxJCPHjukg/Siy02nLt8+MXD4U6fDwlIIYRwQQJSCCFckIAUQggXJCCFEMIFCUghhHBB7iguhHgo3CEjNjwg3akLXwghliMDxYUQD5y7ZIS0QQohhAsSkEII4YIEpBBCuCABKYQQLkhACiGEC5sakO4wzkkI8XC4Qz7IQHEhhHBBxkEKIR4od8oGaYMUQjxw7hKSEpBCCOGCBKQQQrggASmEEC5IQAohhAsyDlIIIVyQcZBCiIfCHTJi0wLSXbrxhRDClU0bKC6EEEtZuJDEHXJCOmmEEMIFCUghhHBBAlIIIVyQgBRCCBckIIUQwgUZKC6EeOAcDodb5IPUIIUQD5w7DPGBTQhIdxnfJIQQK5EapBBCuCABKYQQLkhACiGECxKQQgjhggzzEUI8FO6QD1KDFEIIFyQghRDCBQlIIYRwQQJSCCFckDuKCyEeKHe62k5qkKswMTFBX18fZrP5Ya+KEOIBkoBchbKyMn7961/T2dm5pnKuhjGsZnjD/ZQVQmwM7WbO3N2/zIqiMDIyQklJCdeuXcPT0xNFUUhOTkarXXnXqVQq+vv7KS0txcPDg6ioKBITE/Hy8lpVWZPJRHNzM0NDQ9jtdnbt2kVkZORGbJq4D2NjY/T29hIaGkpoaOg979vtdjo6OrDb7cTHx6PT6R7CWoqNsKkB6e7Gx8eprKykvr6epqYmPvzwQ3Q6HTt37lxVQALU1dXxz//8z3h4eHDkyBFefvllYmJiVlV2YmKC999/n7KyMgC+9a1vSUBuAd3d3bz//vscP358yYC02WxcvXoVs9nMSy+9JAHpxuQUexkLtUe9Xs/u3btpamqipKQEtXrl3Wa1Wunt7aWpqYnh4WEKCgo4f/48Q0NDq17+9PQ0V65c4dNPP6W2tpa2tjYmJydRFOV+Nkvcp66uLt5//30aGxuXfN9qtZKfn8/ly5eZm5t7wGvnPtzhDFMCchn9/f0UFxcTEBDA448/jk6no7e3l+Hh4RXLmkwmiouL6ezsJCoqCr1ez/DwMB0dHczOzq744XA4HPT19TE8PIzNZsPb25v+/n7q6uowmUwbtYliHSYmJrh165bLz4GiKHR0dNDS0sL8/PwDXjv34Q492XKKvYzOzk5KSko4dOgQzzzzDJWVlYyOjlJaWopKpSI6Otpl2bm5OS5dusTMzAznzp0jKSmJgYEB6urqCAgI4OTJky5PvRRFoaqqiurqahISEkhMTCQxMZHJyUmuXLlCfHw83t7em7XZYgUajQa9Xo9Go3E5jaenJx4eHm5RSxKubVoNUqfTuXXbS2dnJ/39/QQGBhIREUFsbCw5OTns2LGDsrIyWltbXZZ1OBx0dXXR1NQEwLFjx/jiF7/IgQMHqKqq4urVq9jtdpfl1Wo1lZWVVFdXk5KSwrPPPsvZs2eZmpri6tWrazpNFxvPYDAs2watUqlQq9V4eHhgMBge4Jq5h4VccIcfj00bKG6z2bDZbJsx+003PT1NUVERo6OjnDhxgvj4eFQqFdnZ2cTGxlJdXe0yIB0OB62trVRXV2M2mwkJCSEzM5PHHnuMffv20d7eTllZGVNTUy6Xb7PZqK2tpaWlhfT0dB5//HEOHz6MoijU1dXR2dnJ/Py8W3zAHkVWq3XFwc5qtRqHwyHNIUuw2WxuM1h8w0+xtVotWq2WCxcuMDExgU6nQ1GURTvj7h2z8P+7/15q+pWmWe9yHA4HarUaPz8/FEWhsbERf39/jhw54jyVzs7Opr29nf/6r/+iubkZk8l0Tw1BpVJRUVFBWVkZaWlp7N2711nbiI+PJzU1lbm5OUpKSti/fz/h4eGLyttsNtrb2+nv78fhcJCWlubsuU5PT6enp4fGxkYiIyPZt2/fkh+yvr4+rl69SklJCX19feh0umX3y3L7aj3TuyqznnIbPV+73Y5KpWL37t1ERERQWlpKb28vnp6ezi/tnX8WyqrVametsKamhvn5eTw8PJZcF/i8lllWVsb3v/99AgMDF30HllrOnX8MBgMqlYqhoSFmZ2edp/Kr3ca17MP7ncdalrWQBRcvXkSj0SzbRLFVbHhALnyY+vr6+PTTT12G0npDcqPfX/hbURTUajVGoxE/Pz8cDgepqalkZ2cTFhYGfN6uFBMTg0qlYnh4mPb2dhISEtDr9c7lmEwmbt68SWtrK1/+8pfJycnB4XCgUqkIDg7m2LFjVFdXc+nSJby8vO4JyP7+fqqqqrBarURFRS1q58zJyWF6epq6ujq8vLzYs2ePs6ayUGM3mUy0trbS0tJCYWEhDQ0N6PX6dX2g7/7/esJrvctTqVTO/Xa/87qTzWZz7jOz2UxRURFNTU0YDAbn6ISlQkutVqNSqdBoNIyOjqIoyrJfcJ1Ox+TkJNevX0en0znLLxfAC/8OCAhAq9XS0dHBxMQEWq1204Jsqdc3a1kL+72jo4OwsDCXP3ZbyYYHpM1mw2q18uSTT/Jnf/ZnGAwGbDbbkqeDC6+t9r27p1tN+eXK3T0PlUqFv7+/swPEx8eH4ODgRbXEwMBA8vLy0Gg0FBUV4evr6xzXaDKZaGpqoqWlBZPJxL59+0hPT3eW1ev1nDhxgvHxcd5++20SExM5ffr0onXr6Ojg+vXrhIaGkpGRsSh89+7dy9TUFOfPn8dqtfLqq6+i0+mw2+309fVRXFzMJ598Qm5uLq+++irPP/884+Pji4YlLXdavtx+Ws3/l3t9tdOuZhlrvcroztcXhkhFRkZiNBo5e/YsMzMzzkBemH6pPyqVCr1ez/nz53njjTewWCxLLg/AbDaTmprKj370I+Li4pzTLiz/7nkriuL8t6+vLwaDAZPJ5Dyd36h9tdJ37e79sNr53flj5moaT09P7HY7P/7xj6msrFy2HX6r2PCAXDjI8fHxHD9+fKNn/9AtBOSNGzcoKChg3759zoDs7e2luLgYRVFISkoiKipqUVmtVktqaiqJiYlYrVa6u7sZGRkhODjY+eFqbm6mqKiIp556iqNHjy666iYkJITk5GS8vLwYHx+nubmZXbt24XA4qK2tpbS0lP7+fjw9PYmIiCAiIuLB7Rg3cueXeT0D77u6upw/THfXchcoiuL8rCw1mHw7+81vfkN5eblbjOfdtF5ss9n8SI4BCwoK4uDBg2g0GkpLSxkZGXG+19rayuXLl4mIiODJJ59csn3S09OTpKQk9u3bx8TEBB999JGzV3p2dpaWlhYaGhqIjIwkOzt7UQ0SICwsjKNHj2I0Grly5YrzkrYbN27Q09PDmTNnyMrK2vwd4cbu99TuzlB09SVXq9UoisLk5OR9LetR5E6dizJQfI0MBgOJiYmEh4ejKAq9vb1MTk46w62+vp6dO3dy8uRJfH19l5xHZGQkjz32GGazmQ8++ICJiQkAqqqqmJ6eJj09/Z7a5wIfHx9nreTy5ctUVVUxOjpKXV0dExMTHDlyhLS0tE3bfoGzPXHhbGkpKwWocA8SkOug1+vZuXMn0dHR9Pb2UlRUxM2bN+np6UFRFOLj4wkPD3c5Vm6hs8ZgMFBdXc3w8DDDw8NcuXIFm83G2bNnXQakp6cn+/fvJzo6moaGBkpLS6mvr+f27dv4+vqSmZm5qpthiPVbqEEuVxNd6X3hHjblSprt8MGIi4tj//793L59m08++QRPT09mZ2c5derUslfYwOcBm5SURHJyMrW1tTQ3N9PV1cWHH35IUlISx44dc9l+qNVqiY6OJjk5mcDAQEpLSxkbG3MO+1ntTTTE+tntdiwWCw6Hw+X+np+fx2q1yvFwwV0yYsNrkK66+h818fHx5ObmMjo6yieffMKnn36Koig8+eSTxMbGrlheq9WSkZFBZmYmtbW1fPDBB3R3d+Pv709WVhZBQUHLlo+NjWXXrl2Mj49TUVFBamoqR44ccYuxZe4uKiqKJ554gtTU1CXf12q15Obmcvz4cZfNLMI9yM/bOi30fr7++uvcunULlUrF0aNHOXXq1KpPcTMyMhgfH+fNN9+krq7O2Uu9mt7nHTt2cOrUKQYHB+np6WHPnj3k5OS49eWd7uLgwYNkZWXd04G2QK/X873vfQ+Hw4GPj88DXjuxkTYtIJdrwH5UBAcHs3fvXkZGRggICGDXrl1rav9bOC3+7LPPsFgsHDp0iN27d6+qbEBAAAcPHkSlUjE6Osru3buXvbJDbAyHw4GHh4fLfb3QPnlnzdHVUCCx9UkN8j5oNBrOnDlDcnIyvr6+pKSkrKm8VqslPj6ekydPkpWVxaFDh0hISFhVWYPBQHx8PPHx8etZdbFOKwXdaq4mEp9zhwqUBOR90Gg07Nq1i6SkJHQ63bp6jz08PDh58iTz8/MYjUbpgRZiC5GAvA8qlYrAwEACAwPXVX7h1EseoyDE1iTjIB8iOfUSYmuTgBRCPFDuVDHYtBvmutNOEEI8WO6SEVKD3ATu0DsnPrcRx2qtt1+7n/fEg7WpnTTb5UDPzc0xNjaGwWDAaDSu65fRZrM5b3phNpux2+3OO1h7e3vj5+fnvOu12DgLN52YmZlhcnKS6enpReMWAwMDCQ0NXfG669nZWfr7+1GpVPj4+BAUFLTsuNSF+c3OzjI9Pc3U1BQGg4HIyMhVPVZYPBibOlB8O7BarVRVVfFv//Zv7Nu3j9dee21d8xkcHOTdd9+loKCAuro6Jicn0ev1xMXFceLECc6dO0dqaqoMA9ogd4agyWQiPz+fd955h48//th5t3BFUXj55Zf5y7/8yxWviCkrK+OP//iP0Wg0nD17lm984xskJyevuB4VFRVcuHCB3/3udxw6dIif/exn2+YYu0NGSA1ynUwmE52dnZSWlnLp0iU++OCDdV1WZjabqayspKysjJs3b2I2m9m5cydmsxmLxcLk5CSFhYXcvn2bp59+mtzcXLy8vKQmeZ8Wao5DQ0MUFhby61//mpGREbKystBoNExNTdHa2kpJSQlvvPEGzz777IqD8s1mM62trdjtdk6fPr2qgKysrOT8+fP09fXJrdG2oE0NyEf5S9zT08Mnn3zC66+/Tn19PcC6biE/PDzMv/zLv1BeXk5OTg4vvPACZ86cwdvbm87OTi5evMhvfvMbfvKTnzA3N0dAQABpaWnbppaxmUwmExcuXOC///u/uXr1Kt/+9rf5yU9+Anz+bKALFy7wn//5n/zgBz/A19d32YCMj4/ntdde49///d9paWmho6MDk8m06HlAS6mpqaG5uZmvfe1rvPDCC3It/RYjjR1rdPv2bS5dukRVVRXe3t4899xzzufKzM3NrXle1dXVlIIQFPwAABsPSURBVJeXMz09zalTpzh27BghISF4e3uTlpbGc889x+HDh1GpVNy8eZPCwkKmp6c3Y9O2neHhYS5evEhXVxfPP/88586dc74XERHBs88+S3Z2trMZpa2tzeVd8o1GI4cOHSI6OhqTyURjYyMtLS1YrdYlp7darTQ0NNDR0YGiKOzZs8dZexVbhwTkGs3MzNDU1MTs7CxJSUm8/PLLvPjiixgMBpdfBle6urooLy9nfHyciIgITp48uehekmq12vlsn/T0dPr7+yksLFz2mdpidSwWCz09PVRUVKAoCq+99honT55cNE1YWBinTp3i8OHDeHh40N3d7TIgvb29SU5OJj4+Hq1WS0NDA1VVVS6nHxgY4Pr169y+fZuwsDBSUlKIjo5+pM+63NGm3TD3UT3QoaGhfOELX3De0WVmZgaz2byu9taOjg6qqqoIDQ1lz549+Pv7LzldeHg4hw4d4ne/+x01NTXMzs7e72Zse6Ojo3R0dDA5OUl4eDgpKSlL3r7sySefJC4uDi8vL4xG4z3PGbpTQEAAKSkpJCQk0NTURHFxMc8999yS0w4MDFBUVISiKGRmZhIdHb1teq/dKRvkWuw1cDgc6PX6RY9DmJubY35+fl0BOTk5ycjICF5eXuzYscPl3ae9vb2JjY113tpsrTVVca+xsTGGh4cxGo2Eh4djNpudP1h39nCnp6eza9euRWWXu31Zeno6R44c4fz589TV1TE0NLTkD19XVxdlZWUEBQU5m1W2E3cJSQnINbj7oC48y3i9tFotHh4ezM7OYrVal31CnlarRafToSiK23y4trKZmRlmZmZISUkhODiYqqoqLl68yC9+8Qvg/3q5X3nlFf7mb/5mUYAtt//T09N56qmnyM/Pp6enh8bGRkJCQggICAA+D1eTyURraysNDQ28+OKLPPXUU873xdYiN8y9T/ezjXq9Hj8/P+egcFdfPEVRUBQFPz8/AHnOyQaxWq0MDQ0xODiI0WjEaDTyne98B51O5+xAa2ho4Ic//CFf/epXOXr06IrzDA0NZdeuXYSHh9PU1ERNTQ0xMTHs2bMH+HwoUGNjI11dXWg0GhITE8nIyMDT03OzN1esg4yDfIj8/f0JCwtjYmICk8nkcn+ZTCbGxsacX+Ll2sHE6mg0GhwOB11dXczNzZGRkcHLL7/s7KiZm5vjo48+4uc//zk/+9nPnO2LRqNxxZ7myMhIkpOT6evro6KigqSkJGdAzs7OUl5ezsDAAAkJCSQkJGzbcHSHfNgercJbVGhoKLGxsXR3dzvHUi5l4bnXwcHBHD582FmTFOu30I7o5eVFVlYWr7zyCocPH3a+7+XlxdmzZ3nmmWdITU2lubmZDz/80PkM8+VoNBpycnKIi4ujsLCQ2tpa53smk4lr164xOjrK0aNH2blz56Zsn9gYmxqQ26Gt7M5tXOv2xsbGsnv3blQqFYODg4yMjCw53cDAAM3NzYSGhnL48OEVn3goVrYwqD8oKIiUlBRyc3OdNbmFmo2vry+7d+8mMzOT2dlZGhsbMZvNK85brVZz6NAhcnJyGB0dpampyTl2dXh4mJs3b2KxWDh8+LDL55+LrUFqkBtgvT8EgYGBHD58mNTUVDQaDXV1dQwPDy+axmw209/fz+DgIOHh4WRnZy86JXOH05StaKGzKzg4mMDAQCwWi/O9O4+nRqPBaDTi6+uLTqdb1bHWarXs3r2bkydPotfr6e3tpaioiPb2dlpbW+nr68NgMJCdnU1YWNimbJ/YGNIGeR8W7raz0MFit9tX9QS78fFx2traCAkJQa/X8/zzz3Pr1i2qqqrw8/NzXpkzPT1NRUUF8/PzPPPMM+Tk5GCxWLh69SpeXl7yHOz7EBgYyI4dOxgdHaW/v3/RnXfuPoYWiwWdToe3t/eKYxXvLBsdHU12djYqlYrr16/T39/P8PAw0dHRZGVlERMTI0+i3OJkoPg6LHwJLBYLw8PDjI2N4XA4nDc4iImJcdY2ltoPt2/fJj8/H51OR1xcHPv378ff35833niDwMBAZ0BOTk7y0UcfMT8/z9NPP43RaKS0tJTXX3+dxMREDh48KAG5TuHh4cTHxzM6OoqiKIyNjREeHg4srkGOjo7S29tLVFQU4eHhK14rfWdZb29vTp8+TXV1NcXFxTQ3N+Pv78/BgwfJy8vb1m3J7pIPcrOKNZqfn2d4eJjy8nIKCgq4efMmdXV1WCwWrly5wmuvvUZ0dDSpqamcPHmSpKQk/Pz8Fu2LheE9Fy9e5Cc/+QlBQUFMTU3R0NCw6NGxk5OTfPjhh7S0tHDp0iXnuEl/f3/Cw8Mfyf37oAQFBZGenk5WVhZNTU38wz/8A1/5ylfYt2+fc5rq6mouXLhAfn4+r776Kjk5OWu6Y9NCGHZ0dPDZZ59htVrJyMjgK1/5CpmZmdv++LnD9ssp9ho5HA7m5+cZHR2lu7ub4eFh9Ho96enpwOf3dbTZbPj6+jIzM7PkHX58fX1JTk6mrKyM2dlZZmZmnE83jIiIcE6n0+kICwtjcHCQ2dlZ5ubmCA4O5sSJE+zZs0dqj/cpKiqKc+fO4eHhQVFREV5eXnh4eODl5UVHRweffvop9fX1REZGkpmZSWJi4pqG5Pj4+LBr1y7y8/OdnTQjIyMkJSWt+vnnjzJ3yAe5Ye4aeXh4EBUVxZe+9CXOnDmDxWJx3mB1gUajQa/X4+/vv+Ttrnx8fNi3bx8JCQl897vfdb6uUqkwGo3O/8fGxvLLX/4Sk8nkvIGrRqPBz88PX1/fbXPt7mbx9PTk61//OllZWfzqV7/i/fff56c//amz+WR6eprHH3+cv/qrv2LPnj1rHq+o1WqJiooiMzOTzMxM6urq2LFjB4mJieu6d+ijxF3yQWqQa6RSqfDw8CAoKGjdw200Gg3e3t54e3u7fCa2oih4enoSFxe37LxW0ykk7rWw3wwGAzk5Ody+fRs/Pz9u3brl/CFyOBw888wzHD9+/L7u07hnzx5eeeUVenp6iIqKWnSWILY2uWZti1pt7VDCcX3u3G8Gg4EvfOELPPvss0tOd7/7OCMjg4yMDGcoyzFzHxKQYlu7M7Q2I7jurOHfOX+p+bsHacQS29pmh5Sr+W/ncHSnWvSGB+Rm/hoLIcSDJNdiCyGEC5sakI9iL7YQYvuQNkghxEPhDhWoTQvI7XJHcSHEo0tqkEII4YIEpBBCuCABKYQQLmxKQMo4SCHEctwlH6QGKYR4oNwlHEEGigshhEsyUFwIIVyQU2whhHBBBooLIR4Kd8iHTQtIaX8UQizHHTJiU2uQQgjhijtkhNQghRAPhTtkxKYNFL/zbyGEuJO7ZIMM8xFCPFAL4egO+SABKYQQLsg4SCGEcEECUgghXJCAFEIIFyQghRDCBQlIIYRwQQJSCCFckIAUQggXNjwg5XELQoiVuEtGyEBxIcRD4Q75IKfYQgjhggSkEEK4IAEphBAuSEAKIYQLEpBCCOGCBKQQQrggASmEEC5s6iMX3GGckxDiwXKni0mkBimEEC5IQAohhAsSkEII4YIEpBBCuCABKYQQLkhACiGECxKQQgjhwqaOgxRCCFfcYZy03DBXCPFA3T1QfCvnhJxiCyGECxKQ28Tg4CDXr1+nv79/TeVc/bqv5ld/K9cMxNaxlZvkJCC3ifr6et555x0qKyuZmZlBUZRVlVOpVCiKgtlsxmQyMT8/j6Ioq/pQL0xjs9mwWCyYTCasVut9bYcQD5L2Ya+A2FxWq5WBgQFu3LjBpUuXnOF44sQJ/Pz8VjWP/v5+fvnLXzI7O0t6ejqnT58mNjZ2VWXn5+cpLi6moqKCrq4uzpw5w9NPP30/myTEAyMB+YibnZ3l5s2bdHZ2YrVaqaiowMfHh5ycnFUHZFtbGx9//DG9vb3s3r2buLi4VQekzWajsLCQ9957j76+PgICAjhz5gyenp73s1lCPBByiv2Im56epqSkBEVROHv2LGazmRs3bmAymVYsa7PZaGhooL6+Hi8vL6anp7lx4wYtLS1YLJZVLV9RFKqqqqipqUGr1TI2NkZVVRXT09P3u2lCbDoZB/mIGx0dJT8/H4vFwhNPPEFSUhJms5mOjg7m5+dXLF9cXExtbS1paWnk5uYSHR1NT08PVVVVmM3mZctaLBYaGxuZm5sjNDSUvXv3YrfbuX79OiMjIxu1icKNORyOLd2Zt+EB6S7jm7aL/v5+bt26hVqt5vjx4xw7dozw8HBqa2upra1dtrPGZDJx48YN2tvbycvL4/d///d5+umnGRwc5NKlSyvWAm/dusX169cJDAzk1KlTPP300xgMBgoLCxkYGNjoTRViw214QCqKgtVqRafTERgYuNGzF6tkt9u5desWbW1tJCUlkZycjI+PD5mZmSQnJ3Pr1i3q6upc1vZnZ2epr6+nt7cXrVbL3r17eeqppzh9+jSdnZ2cP39+xVpgU1MTxcXFhIWF8cQTT/D444/j6+tLdXU17e3t2O32RdPLD+r2oNVqsVgs2Gy2LX/MN7yTRqvV4uPjw9jYGCUlJQQEBKBWqxftiDu/lAv/Xuq11fxbyt37b71ej6IolJeX09jYyL59+8jIyAAgLS2N3t5e3nrrLQIDA5mfn1+yw6StrY2SkhJUKhVxcXFER0fj6+vLrl270Ol09PX10dbWRkxMDD4+PveUdzgctLa20tLSQl5eHnl5eURERBASEgJAV1cXbW1txMXFodPpnOvucDiYmZlhcnKS6enpVQ8pWmpfPAgPuznpYW2vw+FY87L1ej02m43p6WlCQkLw9vZGrd7a3SAbHpC+vr4kJydTVFTEtWvX0Gg06HQ6VCoVarUajUaDWq12/n+5P2spo1Kp7plupXLrWae7y620TndPt5nrtDBtUlISHh4e3Lhxg5s3b/Liiy+SnJwMQGxsLLt27eLHP/4xXl5ejI2NER4efs9xrK+v57PPPiMhIYFjx46h1Wqdx/fkyZMYDAbKy8vx8fHh5MmTi8rOz8/T09NDV1cXJpOJ5ORkIiIiAIiPj+fEiRPOgevh4eHOgAQwm81cvXqV8+fP8+GHH2IymfD09Fzyy7jRr61n+oe9Dg9rWXcG5FKhufBjd+f7Cz92QUFBnD59mvj4eJfrtFVseECGhITwxS9+kaioKNrb21EUxRkQsPg6zLtfczXNaqZ3Ve7Og2e32xfVSFa7zPWu13Lbtpr5rHUf2Ww2AJ544gkOHDjA3r17CQoK4sCBA0RGRjrXKTQ0lPDwcOx2O42NjXh6ehIUFOR8f3p6mqamJrq7uzl37hy5ubnOEPPw8CAvL4/5+XmuXbuGh4cHJ06cWLTNY2NjVFRUYLFYSExMXBTAiYmJHDt2jN/+9rdMT0/z5JNP4uvrC3z+Bers7HRe8ZOZmXnP8Vqv1ZZdrmZ052dpqXmupayr8sut652hs9p1Wo/N2s82mw21Wk12djbHjh0jLCxs3ct5UDY8IENDQ3nppZd48cUXnYGkKAoOhwNFUbDb7Yv+fed7S/25M9iWm/bO+bqaz2qXudrlr7TMpZZvs9nWvM1LzWep5ZvNZqxWK1FRUeTm5vLNb37T+aG884Or1+s5duwYvb29FBcXExAQ4AzIiYkJqqur6e7uxtPTk9TU1EXh6nA42Lt3LyMjI/z0pz/F19eXqakp/P39ndMMDAyQn5+PwWAgOzt70Xvx8fFYrVZ+8Ytf0NLSwtjYmPOL0t3dTVVVFfX19ezevZu/+Iu/wGAwYLVal2yrup/X7rf8w3rNXdbn7tdVKpWzQ9DPzw9fX9+H3jyxGhsakAu/oBqNBo1Gs67yrv4s7Nw7/7/c9MvN537LAauez8J0C+u+nuWvtsxC+GZmZjr36cKp8Z28vLw4cOAAs7OzFBYWkp6ezt69e4HPhwV98sknzM/PO9sN76RSqTAYDMTFxTmXU1RUxL59+5zti93d3Xz88cecPn2akydPEhwc7CyvVquJiIggNTWV5uZmampqCAkJITg4mPr6esrLywkODiY5ORmDwQCw6BRcPFrW05b5IG1oQN7vht59eio2h16vZ/fu3dTV1fH+++/T19fnfG+hVpmYmMjjjz++KNzuFBYWxpkzZ2hqauLjjz8mMDCQkJAQbDYb3d3d9Pb24u/vT1ZW1j0N8d7e3uTm5qJWqykrKyM4OJgTJ05QV1fHrVu3OHv2LBkZGSiKsuUb8cX92erfd/n0bUM6nY7o6GhiYmLQarUMDQ3R1tZGT08Pzc3N9Pf3Ex4eztGjRxe1Td7Jz8+P06dP4+/vzwcffEBXVxcAZWVlDAwMcOjQIdLT05cMOLVazf79+0lNTaW0tJSSkhJGRkZoaGigp6eH/fv3k5OTI+EoHjq5Fnsbi4iIICEhgZmZGW7cuIHNZqO9vZ3IyEgSExOdp7hLnQbp9XrS09OJiYnBbDbT399Pa2srly5dYmhoiCNHjjh7zu+mUqlISUmht7fXea14QUEBU1NTREREEBMTs+nbLsRqaH74wx/+8GGvhHg4TCYTJpOJmZkZWlpaqKqqYn5+nkOHDnHw4EFn+6Or0yCtVsvU1BRDQ0MYDAa6urq4cOECarWaZ599loyMjCXHSKpUKjw8PLDZbJSXlztPyf38/Dh8+DA5OTl4e3tv6rYLsRpyDrONhYeHc+TIEaanp/nwww8pKCjAYrFw4sQJ0tLSVjWPhIQETp48SX9/P++88w7t7e34+PiQkZGx4jAOo9FITk4OOp2OkpISZ1vkwrAfIR42CchtLCAgYNGVMRaLheDgYHbv3o2Xl9eq5hEREcHRo0ex2+00NTXh5+dHQkICUVFRK5b18vLiyJEj7Nq1Cx8fH5KTk9m9e7fz1F6Ih03aILc5Pz8/cnNzmZ6eJiwsjLy8vCWHBrliMBhISEggNzcXRVFITU3lyJEjqxrm5e3tzd69ewkJCeGrX/0qiYmJMqRHbCkSkNucSqUiJyeH4OBgjEYjkZGRax56sTBsJzw8nJ07dxIVFbWqeWg0GgIDA+WmJmLLUjm2+u00xKazWq3OK240Gs2aapAL5ufnsdlsaLXadV8oIMRWIwEphBAuSCeNEEK4IAEphBAuSEAKIYQLEpBCCOGCBKRYRPrshPg/EpBika1++ykhHiQZKL6NTU5OUltby6effsrk5CTf/va3SUxMXNM8enp6KCgooKamhp6eHsxmM97e3sTExJCbm8u+ffsICwuT4BVuSQJyG+vq6uL8+fP8/Oc/x2Qy8aUvfWnVAWmxWBgYGKC4uJhPPvmEuro6+vr6mJubQ6fTERYWxtDQEFNTUxw9epTo6OhN3hohNp4E5DZlMpmoqKjg7bffZmpqCqPRuKYraDo6Ovi7v/s7Ojs7iYyM5Jvf/CaZmZk4HA7a2tooKiqiuLiYwsJC/uRP/oRz584RFhYmV9gItyIBuQ1NTk7y2WefUVNTQ2RkJN3d3YuePLkch8PB9PQ0tbW1XLx4EV9fX5577jnOnj3rfIxnZmYmRqORxsZGCgoKyM/PJyoqCqPRKAEp3IoE5DbU1dXFm2++iV6v5w//8A8BaGhowG63r1jW4XDQ1NREeXk5IyMj7Nmzh+eff37Ro10DAwN55plnuHnzJi0tLVRXVxMXF0deXh56vX7TtkuIjSa92NvMrVu3KC8vx2g0kpGRQVxcHH5+fouevrgch8PBrVu3aGhoIDw8nNTUVEJDQ5ecNi0tjaysLPr6+qitrcVqtW705gixqSQgtxGr1UppaSnV1dXk5uZy5MgR5+ur5XA46O7uZmBggOjoaKKjo10+XCssLIy0tDRmZmbo7e1dVQ1ViK1EAnKbsFqtdHZ2UlVVRX9/P7m5uaSnp9PX18f4+DhqtXpNQ3HufB63Kx4eHhgMhkUPjRfCnUhAbhNtbW1cvXoVDw8PcnNzycrKIigoiKmpKebm5pwP0oLPT8MHBwddzstgMODt7Y1arV42JBeehujr64uvr688xlW4HfnEbgOKolBSUsJbb71FVlYW3/3ud1Gr1UxNTTE/P++s3TkcDlpaWvinf/on8vPzXc4vICCA4OBgtFrtsjVIk8mExWIhPDx82VNxIbYq6cV+xJlMJpqamiguLiY/Px+NRkNbWxt2u53h4WFaWloYHh7GbDbz93//9+j1ehobG8nJyVlyfiqVioiICIKDg6mqqqKvr8/lqfng4CBdXV0kJCSwe/dued6McDsSkI84s9lMR0cH09PTeHp6cvnyZa5duwb8XzviQg3ynXfeITg4mL179xIUFLTk/NRqNXFxccTGxtLf309nZ6fzUQt36+rqorW1lSeeeIL9+/c7T+GFcBcSkI84b29v9u/fT2RkJC+88ALz8/MAaLVaent7KS8v5+LFi8zOzvL973/fOVYxLi5uyfmpVCrS0tIYHh5mx44dTE1N0dDQQHJyMp6ens7pzGYznZ2d9PX1kZSUdE9ALrRPCrGVSUA+whwOBx4eHkRFRS35nOrx8XH0ej03btzAbrfz/PPPk56e7nJ+MzMzTE9PO9sUz549i9lspqSkBIPB4LyOe2ZmhsbGRhRFISUlhcTERNRqNc3Nzfj7+xMaGirhKNyCBOQjbKUQmp2dxWazOU+1zWbzstM3NzdTXFxMTEwMUVFRfOc73+H69etcunSJqKgoZ0B2dXVx4cIFoqOjOXnyJFFRURQVFfHmm2/y2GOP8fWvf33DtlGIzSQBuQ05HA4sFgs1NTVcvHiR1tZWHA4HFy9exM/Pj7i4uCWvmVapVExOTvLb3/4Wq9VKTEwM1dXV3Lhxg7Nnzzqn6+vr491338XLy4v09HQKCwuZmppiYGBAxkMKtyIBuQ3Z7XZu375NQ0MDxcXFKIqCt7c3+fn57Nixg6ioqCUDMjg4mJiYGN577z1KS0udr989ENxkMtHe3s7MzAwlJSUAREVF8cUvfpGkpKTN30AhNog8F3sbUhTFGWK1tbWYzWYMBgOBgYHExsaSnJy8ZECaTCYGBwepra2lr6/POVBcr9dz+PBhkpOTAeju7ubatWvMzs6i1WqxWq0EBASQlJREbGwsO3bseNCbLMS6SECKJa2nl3mhLVMGhItHhQSkEEK4ID/1QgjhggSkEEK4IAEphBAuSEAKIYQLEpBCCOGCBKQQQrggASmEEC5IQAohhAsSkEII4YIEpBBCuCABKYQQLkhACiGECxKQQgjhggSkEEK4IAEphBAuSEAKIYQLEpBCCOGCBKQQQrggASmEEC5IQAohhAsSkEII4YIEpBBCuCABKYQQLvx/5RCiS4RH3JUAAAAASUVORK5CYII=)
physics-General
physics-
The total current supplied to the given circuit by the battery is
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)
The total current supplied to the given circuit by the battery is
![](data:image/png;base64,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)
physics-General
physics-
A current of 2A flows in an electric circuit as shown in figure. The potential difference
, in volts(
are potentials at R and S respectively) is
![](data:image/png;base64,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)
A current of 2A flows in an electric circuit as shown in figure. The potential difference
, in volts(
are potentials at R and S respectively) is
![](data:image/png;base64,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)
physics-General
physics-
A 3 V battery with negligible internal resistance is connected in a circuit as shown in the figure. The current I, in the circuit will be
![](data:image/png;base64,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)
A 3 V battery with negligible internal resistance is connected in a circuit as shown in the figure. The current I, in the circuit will be
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYcAAADWCAMAAAANZb6qAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAK1UExURf////7+/uvr68XFxdDQ0PDw8P39/c3NzYSEhI6Ojru7u9zc3Ozs7Pr6+vn5+fj4+Pf39/X19fT09N3d3aampmVlZVtbW2FhYXFxcaOjo9PT0+3t7fLy8vHx8fPz8/v7+6enp5KSkpmZmZqamnV1dV1dXUtLSzg4OCIiIh0dHRsbGx8fHzQ0NElJSVRUVFZWVldXV1hYWFlZWVpaWlxcXF5eXl9fX2BgYMbGxunp6W9vb01NTVFRUTo6OhwcHCEhISMjIxkZGWRkZGJiYmNjY2ZmZlVVVSkpKYyMjPb29ubm5lNTU319fYKCgoODg4GBgYCAgH9/f3d3d2hoaGtra7CwsO/v7+7u7urq6ujo6N7e3q6urkJCQmlpadfX1/z8/OPj43BwcNTU1OTk5OXl5aKiompqapaWlsTExNLS0oaGhoqKiuLi4kVFRXh4eHp6epSUlEpKSp+fn6WlpUZGRq2trbq6urS0tGdnZ9vb28zMzKmpqby8vLm5uTw8PJiYmOfn54iIiNjY2OHh4YmJicfHx3JycsrKyrW1tUdHR5ycnM/Pz6+vr9bW1p2dnXZ2dsDAwNra2oWFhZCQkMjIyHR0dMvLy8PDw6ysrE5OTrGxsb+/v7KyssnJyVJSUkFBQbOzs35+fqioqHt7e+Dg4Dk5OZeXl0xMTKCgoJOTk5ubm2xsbLe3t09PT42NjYeHh87OztnZ2Y+Pj21tbaurq6qqqt/f376+vqGhoba2tqSkpIuLi25ubkBAQJWVlXx8fJGRkb29vdHR0SgoKMHBwdXV1Tc3N3Nzc1BQUDs7OzY2NjU1NcLCwp6enj4+PjAwMC4uLj8/P7i4uERERCwsLB4eHnl5eS0tLUNDQz09PUhISDMzMyoqKjExMS8vLzIyMiYmJhgYGA4ODhUVFSsrKxEREQAAAFgu5nYAAADndFJOU///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////ALLDDRIAAAAJcEhZcwAAFxEAABcRAcom8z8AAA3uSURBVHhe7Z07lusoEIY7JmUHRNoILICk9kLGoliJQmVzzt3H/CUhP/ppCwRI4rOvW+0z07aAelFQfHQ6nU6n0+l0Op1Op9PpdN6DnKN42amI817I3hNVoQ+SwRitA2SC/nz+8rgkFLxXWR7WjNMw/Bum0YwmAS/iV7sUpEc9337yKzph5t8wTBpv4cHPNzH/Bh+/2qUgbaxnkl+tt3N/aO1DVDH8fA8pxkHL+N2uhBytlCS5CZJfXUBHaOXQ/ltxHn/BX7Aj0A/5LKOzNrgUh4nUqJwy6nrGOms/yCCS/hgJbeSH0ybEN64DQS/Fy/pIrdlZEpNxyxvXIas8JCKVnjUSed3OlyoEjbqVW6ZgooUmfzkT0ZA8wC6sIZyzOs3SHA72W+NlBpLazo93IXBmthTXIas8UMJ0KwX9MCLgwF7LRMBfyne/Um33c5zWj70orfFX6giWh2z36/zmfnCPWokR1lwpmSFz+ktuu1IP4+fZDAEBiZcXIKt9EOPWfvim0e9u7BXIah/CuHFCAtYgfPkaBBNxmY6QU75+QDy8TZMgbvvOKDszXiaKoEnHq3Skstv6wRn7nU0maKurCATkIV6ls3W5hvPfaCWG1GVyETn10kZI/WgH5GVyETnlYRsIpH82K9Lo70XlbFB1eZD6t6YWZrxEFFFdHuT3vtIK+S8B3impbR9ImN8nQy5iIirLA3GmIV7/wDVyEZXtAyK4P+0wz8TGy/NSVx6ekw4/AL/2/OFcXfvwkAr9BWkndfaOqCoP0i8LNP5C2Fe669DUtA8UzGvjnJyxJ++IivJAwr5qgGFHTh5FVLQPr/hKKwjnzm0i6skDT6a+PgScHU890VTNPpDTb2Urgjl1FFFNHpx9b1U3oogza6Za9oHC9KblhZN74hVNleSBU57vqhmJKOK0HVHHPtCmNg2Ivs/aEXXkQapxg44h9a4uOw5V7AMJs2llhzzvvogq8vB30uEHNv+PzVPDPvB2n436hadCTikRFeQBgfT2fIL6I416VCrYB5ni9kg/nDKKKC8PicbWGX3G3dXF7QOFMUmzzBHg+SSitDwQ7/OJ1xs55aLX0vYBWikktuIpZ/wKywN8pfR9wpyLOFvdsrL2gdxSQSMRMZ0uF1FWHhAP53B2ZDDlo899KWofXl6g8Rfs+57LRJSUB97pkKn1nD/ZFHhJ+5AUSH+CC3CcqSMKyoNUGUs1IBw81aLXcvaBkw4ZW07aU+UiysnDa2uKX+dc+yKK2Yf8UbA4U1KolDxQsDm1EsMzhqep6l7KPsRSlFkhf55iWYXkgXeFxsuMSPP6SuXGKWQfwrSx9MbvnKdGUxF54KTDLiY120RJdYrYh/18fd5dfYqOKCEPnHTYq7Nh/1W8PDQl7ANZu1/EJcbxDOnqEvIg9wy4EB/mDkxqUMI+vLRbfTPnWPS6nzzwKSmxNCzZT8VZswJxi1EEPvKoorGjfRAqCIe++CDeiL7j4i9OevNNkFQ2dTFILXaTB5J25POv+Nwmr/Q+cdwCoggMJhJej2lr1Cqyn32QfjI2HqFl0Sc7zkBIb6VT1ujxsIU4EuWBz8qa5zyXi6emFrO6IHIuKG8TSrC/ADmDnhZ+Ouo0R6p9EHoZ6STMaPyzJ7/u+pn7aOcZagrB7TC3Xow0eeByYtbwUA9aQwc9awUuU1ysXXgsHHhDaaJ9cErIANtIXLJE+k/xWuEcsjRfa/eTg9PG+pKcSDvbbl8S5QFuEbqCPpzlpRhf6t0LXfAQB57zi5e3zySnp4mVFfTmMDScrUi1DwSvCI0v/dwPX6IERNLFLKe8fdYaP+ICDoK3aH6hbQgNryxI9Jd4EGpYBfKsgMSXRqeca5Z+h3MR/FEkhfJrOCdFIMECq3i04L9Y3m6PRPtA6AKlA7srxDc9ayGoYuEcXCSoY66KUcZWL9ZJSoRz03Df64Lf0Sn4kniH2j0fMNVfmu10IKXQBY4nMvBuGKcRsbT38CVdKHWIA6fmyCGm1v7hAA8KI89twaVlI6GbPds60T44O7JegvoZLalhqQEtxkkr7y1H0xrmsYhTT2r0Cp9nMTL8g78glZ3tA6tM6Zvd4phoHyTiBnZbhdUeLsliByXvYJNQTkp5PpO9xFwDAupJI4bBmMDgMPET5wlYAV8ORgLRvgiixJDYQqJ9+ET8U6Qf6oE+T3bshtDDHFDiA+NxsYxU3gmv2EgECWeCzViTpPpL34O44VMksTtwDmLygcxtYy9BW/F0CzxquNduGr49/6YFdso/qG0FZbLgbqv8yCHK9AptD4FgK9ZuemIfeYA+qFbncw2ryQVEcK22+2fy2oc78OYrqWLHjgMCm2DHYc/sU152koclWRkvi0JhEhwuwJFWB6rPntU+cCAtEEjPf5GPX6ogEdJPKiBy0V5AOVYZClvIKg/SI47y8A55XkPoKtX0AgJqyAIrRXGgtFBW+wAv0SCKNmaCtwjNUGM4CjNqtSQaHuKI5skqD+S08cKJEBBJeyiHClZSQhaX1pdHOhUzc/xw37M2T2zUHI4k2p1d/UpufylUDOCeIWsPVLgsq30AFMZGOkIu648PIhKUe9DwatN4WRUSo0Iwpw4SUZPPHPbSi2cv7Y2zxgePOOIYoZzMnT+GdWwieBLG8Mo2dZDCNJR5C/KPZ3qXRiCk5AVLrpFx8QdyypqybaeGoQxh9hcoFFxUuB2ZVR7gs68pyWYge4QtpeiHeJUDrt7QmjaGZjrATsas9kG2OaPTTmz5MzntA/11pncljmAicsqDs43O9yO2bHnmlXcQusnyypYc35LPnmz0bhFMtGsiZLDa6mHCC6++SoWEbVcNw0TU1kwk1DrJIpflbOTmwQGrani5HcigPjOVjN4JLu9eWSDgtg3T8iXcMtnifNw0SLxzbX6kKybptxxFVox5+rHm9+O93UItQ5VXGeJH2GPKhYvlxcsWIVf5nFhy6AIRZ7elhZcKNy5/izV/kBUpUztNKoOPfj1pDbWksisQakD//oWsfoJ1GFedQVBMFHxUS7yrmTft8L+0b3iI4jucO6/aEQ72IQ4F+E7SxsjNwV9aSQzmnGl2IfWduuG+5K1St6gZA1fMWzv5OvCWnWmy1s+7brdzkBJIuPl6voSDv+TCuOaMw6jVo5s/z3unua3UTtLhD6SuaMWcnv5NN4F09nm1Y475pb2qguanZnqEHG/mjL/gt/s1kz7fSlLXWmL/NlU106+kywP7SgfpBgw7qNBCG/beI1keuAhiPS/kbVh442VTJMuDO4xxmIHz2uQUeKo8QCsdxTgscFGoFvshTR749NtDuKx3EOw0uLIsbb0GSdNw0uEHuG5gvGyHNHmA+9Fy0uF7YCJshvxjXiilXDx8pWME0s9AMzU3eijFjYOvdCCX9Y7ThWoRvU7KfiDONR5OK820F/PIYXM/QCs1nQr9BV5Z1lZHbO8HXtF+SK3E8OLjpkR5ez+4Q5+74ExbUcTmfiB12JrmDE+LNdUPW+20OKivtEJtHem+UR5I2oPNK32hmR1kM7SxH44YSH+iqSPdt8kD/L7j+korsqXFPtvsw3EjuEfYRLRyF1vkgVq6gRSqryy7s0keQuU1u9kQzYSiW+ShxV2h2+Bi1G2YiA3ycMikww9I3YiGfV8e2qnskwHexdRETuh9eTjYAo0/4DOZWxhVb8vD8QPpZ3hxbgP38259vn3Pzq1BGybiTXloe1foJvjYivqa6U37IBupNpYTmIj6zutb/cA7HU7jst5pYXMf+uGNryD0SQLpZ9gFrNwRb8kDTNpJAulnOCSqrJnekYdzaiWGfO09HG/IQ3uLTfJRXTO9IQ/4rk1u4chC7XoIr8vDboFnG/ukKtcse10ediuvJJoIDCvXy3lVHnhX6C7thQjdrzOe5O7n7FE8NLYYfBpkvKzAq/NLUu00XDAOb0ec8WHWq8xJOxReX4SOqDcF/qJeInHfCp8XxzXRlgYnZ4a1JgwpPRaeX+fzMKuZiBf7wdlbZYi8wBlWPu5GIK/1ep4KWV1cYUM0q81vvGYf9lsn47x2IroqXA9mPVSdK9joWMQm1id6xLnb84a4Px4I8Rm+QQUVnwsa4lhJImjS8c5++6egI/AzPySgC5aT1DnvHT5oqSAEHRF4HpQvSa6NGJuL8R5PwK9cLwePByBWy2MpA8kvscARGO9M8ec4LQxDrShCjv8GBl8B//A6Pz8/hv/+4Us+PdaX+3MDIxpSwviMvIlbcIaJlTRawnHoLmfDQSr4pQG5SVe4rZcWZ7gT5m6JqPVxJ3Ylw9IxP+5AiCJ1ugH6Gfcwj6V1QD0NrBvfv5tMcGz9l6N8ln3NUIF4a1FPfEapDBZq5TOx+WZu6ugBiPHyuBELc0qu0XljrniUVvXoCPx+f/f7h4EO6474+VybpTN4skEed/PXAeETKNdMn7s3PsGTwpPf7ZSArAmjXsSD1BjsuAQrCK1MfLtTAgU3Zt1Q77QZY2THwXb1lOWVEP6e24DLtEYrCCO6dSgKOzLx8vF6dmo6nU6n0+l0OowUQcz5MBlC4ZRo5w4pM83nbUlvpuksG/AOBzlrg/cCobVWopFNOheEpJDzEbnSas5CnGnv18Fwig9qkfNZFG6ndHjnT6QdOBFE8zEhrstDLcgpO9sHNtbitCuaG4ckXNWgw4cLQcJ1Fa7Ps9aAHJwlPs3LexVIWBWPfOwURuppMIFIjYOW/r+h5x3qQC4oPoZW4gdcJ9Uj6k6n0+l0Op1Op9PpdDqdTqdTnY+P/wEndX+Mf+ayXwAAAABJRU5ErkJggg==)
physics-General
physics-
The equivalent resistance between the points A and B will be (each resistance is
15
)
![](data:image/png;base64,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)
The equivalent resistance between the points A and B will be (each resistance is
15
)
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)
physics-General
physics-
There resistances of 4
each are connected as shown in figure. If the point D divides the resistance into two equal halves, the resistance between points A and D will be
![](data:image/png;base64,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)
There resistances of 4
each are connected as shown in figure. If the point D divides the resistance into two equal halves, the resistance between points A and D will be
![](data:image/png;base64,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)
physics-General
physics-
A particle starts from rest at
and moves in a straight line with an acceleration as shown below. The velocity of the particle at
is
![](data:image/png;base64,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)
A particle starts from rest at
and moves in a straight line with an acceleration as shown below. The velocity of the particle at
is
![](data:image/png;base64,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)
physics-General
maths-
Period of
is
Period of
is
maths-General
Maths-
Period of ![fraction numerator sin space left parenthesis x plus a right parenthesis over denominator cos space x end fraction](data:image/png;base64,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)
Period of ![fraction numerator sin space left parenthesis x plus a right parenthesis over denominator cos space x end fraction](data:image/png;base64,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)
Maths-General
physics-
In a network as shown in the figure, the potential difference across the resistance 2R is (the cell has an emf of E volt and has no ingternal resistance)
![](data:image/png;base64,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)
In a network as shown in the figure, the potential difference across the resistance 2R is (the cell has an emf of E volt and has no ingternal resistance)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYYAAADsCAYAAABwmAFtAAAgAElEQVR4nO3daW9bV3rA8T/3fRMXiRQl0ZKs3XYcJ8EAnWk6gxlMgS6YT9HPMV+nb4qiQF8U7SzoZDKZZBzH8SJrp6iNkkiKi7jzkn2R3jOkLO+SSMvPDzASW9wude957jnnOc8xdDqdDkIIIcT/M/b7AwghhBgsEhiEEEL0kMAghBCihwQGIYQQPSQwCCGE6CGBQQghRA8JDEJckk6nw8uywV/18zd9nBAXxdzvDyDEdaVpGrVajUwmw+rqKn6/n9u3b2O32wEwGAyUSiUODg5YWVlha2uLTqeDyWTCYrGwuLjIvXv3sNls6vFCXAUJDEJcglarRblcJp1Os7y8zBdffMH09DQzMzMqMHQ6HfL5PI8fP+Y3v/kN33zzDUajEYvFgslk4h/+4R+4ceMG4XAYs1kuVXF15GwT4oLowz2dTodqtcrBwQG//e1vefbsGU6nk2Aw2PNYTdMol8ucnJwQj8eJx+OEQiFMJhPHx8cEg0G2t7cxm81EIpF+HZb4AElgEOICtVotqtUqx8fHpFIpkskk+XyeiYkJhoeHMRqNas6g3W5TqVTIZrNYLBZGR0cZHR0FwG63YzQaqdVqtFqtPh+V+NBIYBDigug9hXQ6zcbGBpubm3g8HoLBIOPj4/j9fjUk1B0Y9vf3qVarZDIZtra2MBgMFItFpqeniUQiuFwuOp2OzDGIKyOBQYgLYjAYOD095dmzZzx8+JCtrS00TSMYDOLz+ahUKhgMBgwGA+12m1qtRrlcplqt4na7iUQi7O7u0mq1SCQSTExMEAqF1JyEEFdFAoMQF6harbK7u8v29jY7OzsUCgUCgQAej4ebN2/SbrcBaLfbnJ6eUqlUMJvNTE9Ps7S0RCaToVwuMzc3x8zMDENDQ1gslj4flfjQSGAQ4oK02228Xi/37t1jfHycdDrNf/zHf1CtVrl9+zZzc3OYTCbgh6GkUqlEvV7H5/MxMTHBwsIC6XSa7e1t8vk8hUKBeDwuQ0jiyklgEOKCdDodvF4vS0tLtNttMpkMKysrHB4esri4yOjoKM1mUz22XC4DEIvFiEajBINBlpaW6HQ67O3tEYlEWFpa6uchiQ+UrHwW4oLoC9PsdjsGg4FOp8Pc3ByfffYZXq9XPQZ+CAyNRgO73c7U1BSBQACAkZERwuEwmUyGXC4nvQXRF9JjEOKC6BPLAGazGZfLxZ07d9A0DbfbDYDR+MO9mMlkIhgM4nA4cLlc+P1+AFwuF6OjoywtLRGPx/tzIOKDZ5CtPYW4eO12m1arhaZpAGo1sx442u02zWaTdruNwWBQP282m7RaLdrtNmazGavVKr0GceUkMAjxFl5nXUH3Y/TL7FXP0QPFmz5PiIskQ0lCvAX9jr/RaGAymbBarapHoDfi3Y27pmkqUBgMBoxG47mNvb7GoTsgnH09IS6bBAYh3pC+avno6Ij19XW8Xi9jY2P4fL7nFqPpQaHRaKjegNlsVmsTzjb2mqahaRqtVguDwYDJZMJkMr0wkAhxGSQwCPGGOp0O9Xqd/f197t+/r4rj6RlJZzUaDQ4PD8nlclSrVUZGRhgZGcFut/fMO+gBJ5PJsL6+jslkYnh4mHA4rLKahLgKEhiEeEOapnF6esre3h6PHj0iEAhgt9sZGhrC5/P13N0bDAaq1SorKys8fvyYo6MjPvnkE370ox8RDAZxOp09r91qtdja2uJf//VfsVgsfPbZZ3z22Wd4PJ5+HKr4QMk6BiHekKZpFAoFSqUSmqaRyWTY3NykWCyeu9tarVbjyZMnrKysUCgUODw8ZG9vj2q12vPYTqfD0dERe3t7FItFDg8P2djY4Pj4mHq9Lru4iSsjgUGI16Q3zM1mk1wuR6PRIBqNYjabSafTnJycUKvVeuohARQKBVKpFKenpwSDQWq1GqlUinK53NPYa5pGKpUinU6rqqrZbJZsNsvp6alKfRXisklgEOI16cND+iY8mqaxsLDA+Pg4AMfHxxwdHan9E5rNJjs7O+zs7GC320kkEty8eROj0cjBwQG1Wk2tkIYfAkkymSSTyTA7O6t2ezs9PSWXy0lgEFdG5hjEtddut3tSQPU7+delN97682u1Gvl8HoPBwMzMDGazmbW1NY6Pj9ne3la7rdXrddbX19na2mJkZIRIJMLY2BiFQoFsNku5XKbZbGIymTCbzZRKJbLZLJqmMTU1RaFQYG1tTe3VEIvFsNlsKvW1+zO9zTBT9zyIPi/SnR4rPlwSGMS1pAcCPYOoUqmoVNDu1NHzvKxhdDgc1Go1ms0mdrudWCyGxWKh1WqpbTg/+ugj4IeexbNnz0gmk/z4xz9mamoKq9XKo0ePOD095eTkhGKxiNPppFgssr+/T6fTIRAIMDw8jNvtplgsUqvVODw8pFwuY7PZqFQqPSuk2+22ChYv8qI1E3pQslqt2Gw2tR5D0mM/bBIYxLWkZwNls1kODg5Ip9OYzWZMJhPFYpFGo6HqFr3o+d06nQ5Go5F4PE4gEGBmZgaPx0M4HMZms1EqlXj8+DG7u7vUajVqtRpHR0dkMhmazSajo6NMTExQr9cZGxujWCySSqWw2+3Mzs6SyWRIJpNYLBbC4TB+vx+Xy0WxWGRzc5N8Ps/p6Sn1ep3d3V1OT09ptVoYjUa1nejLhprOa+SNRqMKCna7HafTSSwWUz0T8eGSwCCunU6nQ61WI5vNsra2xurqKjs7O/h8PtxuN5lMhmq1+tLAcFa73cZisWAwGAgGg3z66aeqMJ7ZbCYajWI0GimVShQKBarVKtvb22oHt1AohMvlwmQyMTMzQ6vV4tGjR9RqNUZGRjg4OCCVSqnG2el0YjQaicVi7O/vUyqVyOfzlEol7t+/T71ex2w243A4aLVaFItFWq3Waw8pdS+es1gsmM1mbDYbc3NzWCwW2TnuAyeBQVwbnU5HNZLPnj1ja2uLQqGA2Wzmzp07hEIh3G431WpVrSzufu7Z1+rWbrcxmUyqLLbD4VA/s9ls+P1+xsfHyWazbG1tUa1WSaVS+Hw+xsbG1HoFs9lMLBajXC7z1VdfkUql2NvbI51Ok8/nCYfDqhdis9nUe2WzWY6Pj0mlUjx69Ii5uTnu3LmD3+9XvSN97uRFweHsv+uBUdM0isUiR0dHfPfddywvL/PRRx8xOztLKBTCYrHQbrffKJCK95sEBvHe01cM1+t1Dg8PSSaTrK+vk8vlVBnr+fl5hoaG1F4J573Gef/f/Xe9nIW+WlmvfWQ0GnG5XMzMzLCxscHTp08pFAq0Wi3m5+fV3II+HOX1ehkeHsbr9ZLJZFhdXVXprx6PB7/fj8ViwWKx4PV68fv9qkextbXF6ekp4XCY27dvq60/u+cYzgsM5x2TXpepXq9zfHzM5uYmDx8+ZH19Hfhh8nxmZoZgMIjdbsdsNktw+EBIYBDvpe6MHKPRqMpO/O///i9/+tOfuHHjBouLi4yNjRGJRPB6vdhsNrVRztu838uK2enDMKVSiX//93+n2WyqPZtDoRBms1l9VgC3283i4iLff/89Dx48oN1uMzw8jMvlwu12q8dbrVZGRkbY29vjwYMHFItFEomEqs1ks9kwGo1vfFz68XQ6HWw2m1q5HY1GWV9f59tvv1W9mTt37qhtSc9O2ssE9fUkgUG8lwwGA41Gg3K5zMnJiVoxnMlkGB4e5ubNm8zOzqrG9l2zbF71XH3SOBAIUK1WAfB6vapMhl40T2e325mbmyOXy/Hs2TNsNhsejwePx4PD4ejZ0CcSiRCLxXj48CF+v5/bt28zNjamgsLrfL4XHY/e47FYLLhcLvWnWq2STCZVptTp6SmxWIxgMIjH43nueMT1IoFBvJf0uYT9/X2Wl5dJJpPkcjnm5+f51a9+pcbmryov32g0YrVa8fl8xONxDAYDIyMjDA0NnRuYzGYziUSCdDqN1+vF6XQSiUTw+XzPbc4TCARIJBLMzs5it9u5d++emuy+CN1DUHa7nYmJCcLhMJubm/zhD39gdXWVra0tFhcXWVxcJB6P4/F4MJvN0mO4pky//vWvf93vDyHEy5zdFCefz7O+vs7q6irJZJJyuYzb7SaRSLCwsMDk5CRut7snH/+qGjB9UntiYoKpqSlisRhut/vc99eHZiwWCzdu3GBycpKRkRGcTudzwzVmsxmPx8P4+DjxeFwNN13EcXUvbNNTWO12OxaLBavVisPhwGQyUalUOD4+JpvN0mg0cDgc6jNIgLheZAc3MdD0uYR2u02j0aBUKrG7u8vKygrZbJZOp0M0GmV8fJxEIqGGbfqxQEvTNCqVCtlsFoPBoOYLzkv71DOoqtUqxWIR+GGewu129wwRwV9XbncP/1z25j361qSNRoNsNqu+83Q6DUA8HmdxcZFoNIrf7+/ZqEi8/yQwvMCLMjzk7ujqdGfONBoN9vb2+OKLL9jd3cVisTA8PMzExASxWIxQKNT3sW89gOm1kvQey4uGfPTH6wvT9LUFZ8+xfm3vqb9vo9Hg9PSUTCZDKpViZWWFXC6HxWJhcXGRW7duEY1GsdvtshXpNSFzDC+g76KlaZq6W9PLB8jY6tXQUylLpRI7Oztsbm6yt7cHQCwW48aNG0xMTDA0NKTmE/qpe9HYRT6+X8elv6++psLj8eByuTAYDGxubnJ0dMTa2hrlcpmZmRlGR0dVplS/fxfi3UiP4RydTodKpUK5XO5ZDGW323G73bjdbsnnvmTtdptarcbx8TFbW1t88cUX7O/vc+/ePW7dukUikVAribvXFojL0d0bajQanJyckEwm+e1vf8v6+jqzs7PcvXuXjz/+mFAohNVq7fdHFu9AegznaLVa7O/vk0wm2dvbo16vY7VaCQQCjI+Ps7CwIOUCLlj3sFGtViOXy7G7u8vBwQFHR0dYLBbm5uaYn5/nxo0bBINBjEajDF1cke7ejd6DMBqNFAoFXC4XjUaDzc1Nms0m8XicWCymenJnkwfE4JPAcI5ms0kqleLbb79leXmZWq2G2+0mGo3SbreZmpqSwHBBuudyGo0GlUqFTCbD7u6uWr1sMpmYn59ndnaWSCSiahSBBIR+MZvNhEIhPv/8cxYWFnjw4AHb29tq+9JCocDk5KTqPVgslrdeXCiungSGczSbTbLZrDrB9fQ9PT2vuzGThunddGfXZDIZVlZWVDVRl8vF1NQU8Xic0dFR1chIA9N/RqNR9RwsFgs2m414PM7m5ib7+/v86U9/Ymtri6mpKRYWFgiFQv3+yOINSGDoohcK0/fX9Xg8TExMkM/nqdfr+P1+hoeHVbkC8W70om+VSoWjoyM2NzfZ2toil8thtVqJxWJMTU0xMTGBx+Pp86cVZ+lB3eFwEI/HVdkRgGQyqXazazabKnvM6XTKfNB7QCafu2iapmr4r66uUq1WcTqd/Od//icPHjzgX/7lX/jlL3+Jz+eT4PCO9KGjdrvNxsYG//3f/00+n2doaIibN2+SSCQIBAIqr18veS0GV7PZpFKpcHp6SjabZWNjQ+1gd+PGDX7yk58wOTmp5ofk9zm4pHXrojdW9XpdVbYcHR1lc3OTbDYLQLlcxufz9fmTvn+6h900TaNUKnF0dEQymSSVSlEulwkGg0xNTanUR6vV+ta1gMTV6nQ6mM1mvF4vHo9HLTTsrml1//59CoUCN27cYGRkRK0I765UKwaDBIYu3Xv72mw2nE4nfr+fe/fuqcqcBwcHMpz0hvTvVE91LJfLpNNpNjY2+Oqrr2g0Gty7d4/5+XkmJibwer09C9WkwRh8Z0t4OBwOlT02NTXFt99+y+PHjykUChQKBW7dusXIyIjqDeoLAeV3PRhkKKmLvj9wrVaj0WhgsVjweDxq96xOp4PT6SQcDssE6FvQc9+fPn3KyckJ7XYbu93OyMiIqoTaXXJavN+6y37s7e2xsbFBKpWiVCrhdDoZHR1lenqaWCyG3++X3/sAkd9EF30R29lU1EAgQCAQ6NOnen/pi6KazSbFYpHd3V1WV1dZX19XNY7u3r3L1NQUfr9fFg1eMwaDQW045HK5GB4exmaz8eTJEw4PD6lUKmp1u17SW9LAB4P0GMSl0EuKlMtltre32djYYHt7m3a7TSQSYXR0lNHRUcLhMB6P57lS0+J66XQ6NJtN8vk8x8fHHBwcsLe3x+HhISaTiVgsxieffEI8Hu9Z8yDnRH9Ij0FcOL0R2N/fZ319nZ2dHfL5PEajkZGRETW5HAgEeiaYxfVlMBiwWq2Ew2G8Xi+BQEDVXTo+PmZ3d5dms8mNGze4efMmgUBApb6KqyeBQbwzfXJZ73zW63WKxSLLy8v84Q9/QNM0RkdHuXfvHpOTk+qil8nGD4/BYMBmsxEOh3G73cRiMdbW1lheXuaPf/wjKysrAExPT/ektXb/EZdPhpLEhWi321SrVQ4PD9nd3SWVSnF8fEyj0VAL1RKJBMFgUO4EBfDX6rnZbJadnR2ePn3K4eEhnU6HeDzOzZs3GRsbU3MP0rO8Oh9sj6H7LlfuRt6evldCpVIhl8uxtrbGxsYGe3t7+P1+lpaWmJ+fJx6Pq3LlkrMu4K/DS3q5k9HRUb799lt+97vfkc/nqdVq1Ot1ms2m2iJV9pq+Gh9kj0FPoyuVSjSbTex2Ozab7dzxbj2zRl/Ao/+brruB03fa6k67Oxt8rgv9O9G3e0wmkySTSfL5PCaTiWg0SjweJx6Pq/FkueMTL6JX1c1kMqqqcS6Xo9Fo4PP5mJ6e5saNG8RiMUwmk9xcXLIPMjBomka5XGZtbY18Pk8wGCQSiRAOh5+7I+m+Iy6VShiNRgKBgOradjd2+qRrJpOhXC7j9XpxuVzYbLZrt7mPvuVjOp0mlUqRTqcplUpq3HhmZkatS9AzTCQwiBfRmyE9QGxvb6vEhWq1is/nIxaLMTExQTQaxefzSc2lS2T69a9//et+f4irpmkaJycn/OlPf+K7776jWq1it9vPDQydTodSqcT+/j7ffPMN29vbqs68vnWjTl/+/+WXX/Lll1+iaRp2u/297wJ33zvoPajT01MeP37MgwcPWF5eRtM0EokEd+/e5fbt20QiEVUwTSaZxavoPWqj0agWlgaDQQKBAJ1Oh2QyycbGBvv7+zgcDrUgTkqmXI4Pco5BX415eHjI1tYWjUaDoaEhZmZm1LaE3eWg0+k0Dx484NGjR9jtdmKxmMqs6F4BXa/XSafTrK+v8+jRIyqVCp1Oh2AwiMPh6NfhvjP9u2g2m5RKJXWRplIpms0mU1NTxGIxVR5bFgOKd6GX1DCZTKqkt8vlYmdnh2w2y9dff83e3h537twhFoupcvji4nxw36Ze9qJYLNJqtWi1WhwfH3N4eEipVMJut6vaLQaDgVarxfb2Nt9++y25XA6/308ymcTv9zM0NNTz2sVikY2NDXK5HOVymdXVVXw+H7dv38bj8byXQyn6ZvWtVotiscj+/j5/+ctfePz4MVarldnZWT7//HM19ms2m1X5ciHeVqfTwWQy4ff78fl83Lx5k83NTe7fv88333zDxsaGOtf01Fd9kaT0Ht5dXwLDeRvddOfBv43u13nZzzVN4/j4mFQqhdfrZWpqikwmQ7FY5OjoCJfLhd/vV5VW8/k829vb7O3tMT09TTgc5ujoiHQ6zeTkpMrHB8hms6yvr+P1erl79y57e3ucnp6STqfV68IPje15n/cyp3u6L5bXeR89e0gvZ5FKpVQl1Hq9rkpjT05OEolEJJ1QXCh9K9Fu0WiUe/fu4XK5SKVSbGxscHh4yOjoKJOTk4yOjuJ0OrFYLJd6Lb3KeYHpbT6Pfj11t5NXFfT61mPQNK2nfnutVqPVar3wwF/2hZyt7HieTqeD3W7H5/NxcnLC8fExkUiESCTCysoKzWaTzc1N1RPQ5yFWV1cpFAoMDQ0xPz+P2+3m22+/JZPJUKlUVA9D0zRyuRzHx8fE43EikYi6ezk4OGBoaAifz4fBYFDHXa1WVTqepmmv3WC/qbPPed3X0Cfe8/m82nilWq0Sj8eZm5tjamqKoaEhuUsTl07fOEu/hiORCA8ePCCfz9NsNmk0GhQKBdxu91vN513U+fs27ddZem/J6XTidDpxuVxXnrzSt8Cgp4tubGzw5MkTMpkMtVrt3DUFZ6PleQ3Rq/6t1WoRjUb50Y9+RKVSodFoqFo9NpuN9fV1vvvuO6LRKFNTUwDs7+/zxz/+EYvFwi9+8Qump6cpFAoYDAZOT0/J5XI4nU46nQ75fJ58Po+maQQCASYmJiiXy2QyGY6OjlT6ptlsplKpsLm5ye7uLoeHhypn+7yN7V8W9N7mZ6/7OD2lt16vo2maKmfx6aefkkgkiEQiqhS5pA6Ky6afXxaLhUgkgsvlIhgMqp7s2toaDx8+VMkO591knXeOvuxO/FX/9jbPeZ3XaLfb2Gw2tTD05s2bPfucX4W+BYZms6mKaWUyGQwGw0snLV/05b5uo9RqtVTa6NDQENPT08TjcdU7SKfTfP/99xwdHVGr1dQQ0MHBAQsLC9y6dYtQKITFYiEajdJqtVhfX1cZEru7uxQKBTweD4FAgGAwyMTEBJ1Oh8PDQ05OTjg5OeH09JSjoyMODg6o1+t4PB4MBoOaqD7vWF/2PbyOV73e2XUZ+ucpFAqk02nq9TqRSIREIsHY2BjRaLRn9bIEBXFV9PPT4/GomxL9BjOZTBIKhQgGg3i9XjUHoT/vVa+re53r8EXP6f73t7me9fZMz8TqdDo9+1Zc+6Gker3O0dERhUIBh8PBzZs3mZyc7BlSOW/8/WVj8t3zFN3/1VMsXS4XQ0NDRCIR4vE4LpcLk8nE6OgoQ0ND1Ot1Tk5OSKfTZLNZMpkMZrOZUCikMpEajQYLCwssLy/z+PFjNQG9vb3N6ekpIyMjakFXLBajXC6zt7dHoVBgb2+PtbU1jo+PsdlsJBIJpqam0DSNRqPRsxju7LGcdwK96O+vM2/xsu/WZDKRyWRYX1+nUqmowN3dizAajc+l6wpxVfShaJPJhNvtVmuKYrEY8/PzJBIJbDabCgy6F533Zxvzl11zL3r8Wa/7b2d/ZrVayefz/OY3v2F7e5tbt26pQHhV11tf5xiq1SqtVgun08nw8DCJREJlwcDrfbFv0kCazWbsdrtKbdPvOOx2O8PDw0xPT1Ov13n8+DEnJycUCgXi8biqI282m/H7/SwsLLC7u8v9+/cZGxuj3W6zu7uL2WwmkUjg9/txOBxYrVYymQwmk4liscj29jZff/01jUaDn/3sZyQSCaLRKPBDj+bscbzOnMObNPyv+zoGg4FwOEw4HGZ6eloFtI2NDdrtNnfu3GF+fr4nBVfmGcRl6j4/2+02+XyelZUVVldX2d7exuFw8Hd/93fMzs4yNjbG0NAQZrP5tduHl73vqxJbXhYcXnUs57Hb7RweHqob0Xq9/lz7cNn6lpWk38Xr9VLcbndfNunQsx+i0Si3b99mf3+f+/fv02q1CAQCTE5OMjw8rE4OfSOfcDiM0WhkZ2eHSqXC0dGR2mzE4/GoDUr8fj9er1dtkL6zs0MgEGB0dJRYLDawG5P4/X4ikYgaCut0Oqyvr7O5uanKh/h8PlwuFy6XC7vdLrvaiUujZwlWq1VKpRIHBwesrKyonvpHH33EJ598QjQafW9Tw7sNDQ1ht9upVqtomvZcz+ey9SUwnNdF62d6mclkYnh4mPn5eZ4+fcqf//xn1VMYHx8nGAw+d0c8NjbGxx9/zNOnT1lZWcHtdqv9irsbe6/Xy8TEBF999RXPnj3D6/WysLBAOBwe2KAAf919q9PpEA6H+eUvf8nCwgKrq6scHByo8dzJyUkWFhYYGRmRwCAujcFgoFAosLGxwerqqhqOXVxcZHp6muHhYfx+/7Xb36NfvfCBWeDW77xjj8dDLBbD5/Nhs9nwer0Eg0G1eObsLygSiXDr1i1SqRRHR0f4fD5CoZDqLeicTifxeJyRkRGy2SwTExMsLS3h8/kG/gTWg6HD4cDhcKhjMxqNpFIpTk5O2NraAqBcLhOLxVRq3etO4AnxIp1OB03TKJVKKhHk8PCQYrGI1WolHo8zMzPDzMwMVqu13x/3WhmYwNBvRqMRl8vF/Pw8mqYRDocZHx/H6/Wemxft9XqZnJxkfn4eu93OjRs3GB8ff24ze6vVyvDwMPfu3VO9EH1B2Pu2QtjhcDAzM0MkEiGdTqvew7fffks6nWZubk7tuaDXvZHAIN6GpmnU63XK5TJbW1v85S9/UYUpJyYmiMfjxGIxvF4vBoNBDUvL+XYxJDB0sVgszMzMEAgEcDqdBINBnE7nuXnRZrMZn8/H3bt31YRzKBR67s5FDzgTExMMDw/jdDrVePz7dhKbzWZVesDhcGC32wmFQuzv76ttPJeWlrhz5w43btxQQ2XSexCvcvYcqdVq7O/v891337G3t6f2hdYDQigUUovZ5Py6eBIY/l+n08FoNKoTT0/H1O/+zzvprFYrMzMz6sQ8W4Zbf56ezXRdWK1WAoEAXq+XkZERgsEg+XyeJ0+e0G63MZlMqsigXi3TZDLJHIQ4l56I0m63VTr04eEhGxsbPHr0iGazyaeffsrNmzeJx+N4PJ6eXrkEhIsngeH/da+s7P77y+iBoHuR2IdykurHrQ+pOZ1O5ubmWF1d5cmTJ6RSKcbHx5mdnZWKq+KlunsJOzs7PH78mN3dXer1OtPT0yQSCcbHxwkEAqrq6ofgourIvQ0JDGe8brEqPRhcdXGrQdG9GMdqteL3+4nH41gsFh49ekQ2m6XZbKqNV+LxuFrf8aF9V91etFL/7IX/IXxHek+hWq1SKBTIZDJsbm6yublJrVYjFAqxsLDAzMyM2ttDyq9cDQkMXd70hPuQT9Cz5QA6nQ42m41PPvmEsbExVldXSaVSrK+vk81mOT4+5ubNmwwPD6sV52df5zrRS5Xr+ed6EbTuSfmzQyj6IiZ9GFP/81EXQxgAABf4SURBVD4lKLyudrutiknu7++zvb1NKpXi9PQUp9PJrVu3mJ2dJRwO43Q61XlyHb+LQdTXwHBdG4UPjd7gWSwWrFarWiXu9XrZ29sjn8+zvr7O9vY24+Pj3L17l3A4fK1TDI+Pj9na2mJvbw+j0ajWenTvfW0wGKjX6xwfH7O5ucnOzg6apmE2m7HZbMzOznLr1q0+H8nlMBqNHB8f8/jxYw4PD6lUKpjNZsbHxxkZGWF8fJxoNKr2WJCewtXq28rnD3UI5jrrXh0+Pj6uUn6fPn3K48ePefr0Kfv7+7hcLrXBin4nfV1SW/Xce33Xv6dPn2I0Gmk0Gty+fZvJyUmVSWMwGFQ65ldffcWjR4+AH3oXeoN4HQJDd8kIvadQq9XY2Njg/v37NBoNQqEQMzMz3Lhxg5GRkeeGHK/DufE+kaEkcSnMZjMOh4NwOMytW7cIh8PcvHmT3d1dfv/737OyssL8/Dw3b95Ue1dcB/V6nUwmo/YG+OUvf0m9Xuerr76iUCj0lEHRNE2VSgmHw/z85z8nGAxiNpspFArcuHHjWnwv+jG0222Oj49ZWVnhD3/4A7VajfHxcbUlbCgUwu/3Y7fbr8Vxv88kMIhLoaf/OhwOtbAvkUjw3Xff8dvf/pZkMqnG4PU9t/W9e9/nRkHTNGq1GjabTWVl5fN5/uu//ot0Oq3mEfSeRaVSIZfL4Xa7mZycJB6PA5BKpfD5fP08lAuh9xD07XQ3Nzd58uQJa2trRKNRZmZm1FyC3mt8n3//14UEBnEpzl7gZrMZj8fD4uIiHo+Hp0+fsr29zZdffkkqlVIbu3eX3XjfGgm9gu/Q0BAejwdN09A0Td39j46Oqsya7oycbDZLrVbD6/XSarWoVqtsbW0xNzfH9PR0vw/rjZytNFqv1ykUCuzu7rK1tcX29jatVot//ud/ZnJyUlUL6E79Fv0ngUFcCaPRqBa96aunnU4nmUyGfD7P/fv3SaVSxGIxxsfHCYVC72UjYbVasVgsnJ6ekslk2N3dJZvNMj09zdjYmJpw13tKhUKB/f19VUrl8ePHNBoNXC5Xz/4c7wv9s7ZaLY6Pj0mn0+zv75PL5SiXy3g8HiKRCB999JHagEavLPA+Hed1J4FBXBk9c8lisXDr1i0mJiZIJpMsLy/z6NEjVldXmZiYAH6YwHY6nT0rXAddd0JFqVRSZcoNBgOffPIJExMTalL5bP6+vi/J/fv3AfjpT3+K2+1+7+pp6Zs55fN5VldXWV1dZW9vD5vNxtjYGAsLCyQSCXw+n6xeHmDvz1UnrhWLxYLP51ONpcfj4ejoiEqlwp///GeSySRLS0tEo1FVsXXQdTodKpUK2WyWra0tDg8PCYVCRKNRYrFYT5XeTqdDsVikXq/j9/tZXFxkaWkJTdPIZrM9myC9L1qtFpVKhdXVVVZWVsjlcgBMT08TDoeJRqNEo9HngoIYPPLbEX2hT07r4/HRaJRUKsXa2hqrq6tqr+mpqamecgiDTN9/WN9ZLJvNMjk52TN8pGu32xQKBVqtFvF4nNu3b/Ppp5/S6XRYXl6mXC5TLBYH/k5an0TX5xLS6TQPHz5kY2ODQCBAIpFgfn6ekZERNVz2PvWABkE/tiSQwCD6ontiWS+pYbVaGRoaIhwO8/TpU37zm9/w4MEDfvKTn3D79m3GxsZ6FocNYqNZLpfZ3NzkwYMHJJNJvvjiC2ZmZvjHf/xH7ty5QzgcBn7IXjo+PqZWqzE2NkYoFMJutzM7O0smk+Hf/u3fsFqtfP75530+ovPpk+fwQ42jg4MDlpeXefjwYU+wSyQSeL3ea5FxdtX6eY5LYBB9p1eg1RsQfUIyl8tRqVTUiuCjoyOGh4dVL2PQ6Jsa6RvS+/1+arVaz92yfqGbzWZVpl0v2Q4QCoWYmppicXGRaDQ6sA2pvoHOyckJh4eH7O7ucnBwAPywu+Hc3BwzMzMqEA7qcQy6fm1gJoFBDAx9eCkcDqstUFdXV7l//z5ff/01FouFjz/+mMXFRWw2Gzabrd8f+TnDw8P84he/4Gc/+5m6ozaZTKr0uN7jsdvtfPTRR2qDGX3M3WQysbi4yMzMzECPw5fLZfb393ny5Anr6+vk83kikQg//vGPmZycJBKJYLVaVbaRZB29uX7uatm3M6+fBy0Gk8FgUMX1zGYzLpdLFaNzu91ks1l2d3epVquk02m1cM5msw3Exkf653+dstB6htZZRqNRVawdJHoA04ve7e7usru7Sz6fx+VyEYvFGBsbY2pqSu1QKN7N2UKVV6lvgaHfF7EYbPoYdjAY5OOPP2ZkZIRkMsnm5qbaZzubzaqKrT6fD4vFIufVJdA0jUajQaVS4fDwkCdPnrC/v0+lUiEUCjExMcH09DShUEgVUBQX54ObfJaLWLyIfvetl6AeHx/H7/cTjUbZ3t5WBdgeP37M3/7t33Lr1i21GdBVbJr0Ju/RfWG/6vGDsOHT2c/QbrcpFovcv3+fp0+fkslkCAaD3Lp1i7GxMSKRCD6fT80NyXV9cfo1Ad330C4nkXgZPUA4nU6cTqeaoO50OjQaDXK5HGtrawCMjo4yNDSEy+W69N5Du91WKaVWq1Wt5j57t6z3fDRNUw1u93DT2c/Y/Xi96uxVlwfRF+DVajVKpZJawb22tkY+n8fn85FIJJibm1OlxOU6vlxX/f32PTDoZM5BvA6r1Uo8HicUCjE7O8vm5ib3799ndXWVyclJFhcXWVhYwOv1Xlq+fKfTodlssre3x6NHjwgEAqpK7HnDKHqxvEajQafTwel04nA4elJvdXqDXC6XMRqN2O12VWbjKhuHRqPB0dFRz1atw8PDfPzxx8zPzzM8PKw+m0wsXx69LMoHM8cgxNvo7j3oDVO5XGZ7e5tcLsfy8jK1Wo3R0VHC4TAej0dN5F5UoNDLWezv7/PgwQOCwaBqxPVFeN3lMer1OqlUiv39fU5PT0kkEkxNTamejU5fLHZwcMA333yDyWQikUiQSCRU2udl6G50arWaqt+kTzDX63U1sTwzM8P4+DhOp/Pc54vrQQKDeK90j3vbbDZisRgul4tkMsnDhw/J5XIUi0Wy2SwTExNEo1G1avqi7ro1TaNYLHJ0dMTOzg6ZTAaHw8HIyAhDQ0NqqEi/k65UKjx79ozHjx+Tz+c5PT1Vq73PBgZ9gdz//M//YDAYuHfvHk6nk6GhoUvpAXVvnlOv19UxJZNJstksnU6HiYkJtQOd1+vFbDbLZlvXXN8DQz+6SeL9pzeSelkNq9WqthLd29tjd3eXnZ0dIpEIS0tL3L17V+XTvwuDwUCz2SSXy1Gr1QgEAuRyOVZXV7l9+zaapqnPpjeexWKRhw8fsrOzQygUolAosLW1hdfrxe12q9ftdDrs7Oyws7OD2WymVquxs7PD4eEhY2NjeDyeF6bCvs1x6fMWBoOBQqHAysoKT548YWdnh0AgwMjIiNpEJxKJPNfDEddX3wODEO9CXw8QCAQIBAJqw59ms0k6nWZnZweTyYTdbleF7F7nZuRFd8Emk0mVgNBrOQGcnp5yfHzMycmJWsWsaRr5fJ6DgwPy+Tw2m414PE6j0SCVSjE9Pd2TAdRoNNjY2CCdTpNIJMjn89RqNU5OTjg5OcHhcPTs59C9r4PuZcd19pj099SL/j19+pTd3V00TVNbbU5NTamid9Iz+HBIYBDXRqfTwefzMT8/z/j4OIeHhywvL7O6usqf//xn/v7v/57PP/+cZrOpsn5epLsKavffLRYLpVKJnZ0dGo0GS0tLuFwuVU11Y2ND1X2q1WosLy+ztrbG2NgYgUCAiYkJtQ6gXq+rDCCj0UilUmF9fZ2TkxN+/vOfq9LV5XKZ4+NjwuEwNpuNdrtNu92m1WrRarVUxtOrAt7ZFcgGg4FMJsPvf/97tra2MBgMzM/Pc+fOHfx+P263G6fT+VoL9sT1IoFBXCt6qYxAIIDH41FDJclkkkKhwIMHD8jlclSr1Z4G72Ubz+sNqtFoZGRkRO0p4ff7mZqawul00ul0ODg4YHV1laWlJZxOJ6enpywvL7O1tcXt27eZnJzE4/Gws7NDLpfj6OiIUCiEx+NRi8eazSZut5vR0VH8fj+np6cqQ2hiYgKLxUK5XObk5IRcLkepVFIZT5qmPfe5z/7/2X/TU1L9fj/hcFjtw62XG5FewodJAoO4Ns6mfbpcLhYWFpiamqJQKPDs2TP+8pe/sLm5SalUUuPl3WsEXtSAapqG2Wzm9u3bKjMnEokQjUZxOp1Uq1VWVlZIJpOUy2Xsdju5XI6trS2Oj4+ZnJxkYWGBer3OyMgIJycnbG9vY7VamZmZIZ/Ps729jdfrxePx4Ha7cTgcajOjo6MjCoWCKiaYSqVUSYp8Pk+xWHyuF3TeMZ1t6AOBAHfu3GF6eppIJILX633hGgvRHx/cymchLou+KMxiseBwOHC5XJhMJrVit16vq/H6bi/6uz4EE41GCYfDmEwmXC4Xdrsdg8GgsqP0RXfFYpHV1VWMRiPxeFwtvDObzczMzKBpGt999x2lUolAIEA6nSaZTOJ2uxkbG1Pj+q1Wi729PQqFArlcjlQqxffff4/D4SASiTA/P4/ZbKZSqfTMNbzOMQG4XC5V9lsfNhrUkuYfmg+yVpIQl637wrJYLMTjceLx+Fu9lj5+f17KqNVqJRAIMDo6yuHhIVtbW9RqNfb39wkEAsTjcVUm3Gw2MzExQbPZ5Msvv6RYLLK9vU06neb4+Jj5+XnVC3E4HGiahtvtJpPJcHBwwM7ODt9//z0fffQRN2/eZH5+/o0L7r1JiQ7RXx/kfgzd6XJCDLKXnacGgwGn08nCwgIAX3/9NdVqFY/Hw9zcHLOzsz0L3+x2O8FgkFgsxu7uLo8ePaJUKgHgdrt7hnOcTiehUEhthHN0dITZbGZkZIRYLPZW6aNyvYlXkT32hLgAVquVGzduEA6HSSaT7Ozs0Ol01J7PZ0tHeDwelpaWCIVCKk3UZDLh8Xh61itYLBa1cG5vb49SqUQikejphQhx0QYiMMgCN/G+s1gshEIhgsGgWuTm8/nUbnNnJ3RtNhuffPIJ09PT7O/vUygU8Hg8eL1enE5nzwK+aDTK2NgYzWYTj8fDZ599xvj4uOydLC7NwMwxSHAQ7zOj0ahKdPzN3/wNADMzM2ojobNDUXrvYHp6mp/+9Kc4HA7m5uYIBoM9mw4ZDAZcLhdTU1P80z/9Ezabjfn5eVV6Q4aFxGUYmMAgxPtMX6gWiUT4+c9/jsFgwOv1EggEzr2z19dGjI+P86tf/Qqj0Yjb7cbv9z/X2JvNZkZHR9XEudxEicsmgUGIC2IwGHA4HIyOjqpU2RdlDOk9CH0fB/jr3tDnPfZlfxfiog1MYJCTXVwH+qpoePU5fTZ4DMLubULAAAUGId53b9qgS09AvEq/hg0HJq1Bxk2FEOKv9OHGfrSNAxMYhBBC/KDfvUcJDEIIIXpIYBBCCNGjr4Gh390lIYQQz+t7j0GCgxBCDJa+BwYhhBCDRQKDEEIMsH6MqkhgEEKIASbrGIQQQjznqoODBAYhhBhg0mMQQgjRdxIYhBBiAHVv1nTVJDAIIcSA6tc6LwkMQggxgDqdjvpz1SQwCCHEAJPAIIQQApA5BiGEEANkYAKD7OAmhBCDYWACgxBCiMEggUEIIUQP2ahHCCFEj4HsMch8gxBC9M9ABgbpSQghRP8MZGAQQgjxg36sfpbAIIQQoocEBiGEED0kMAghhOghgUEIIUQPCQxCCDGA+pmdKYFBCCEG1Ae7UY+sWRBCiMEiJTGEEEL06HuPQQghxGCRwCCEEANMtvYUQgjxHCmJIYQQoq8GJjBIqW0hhBgMAxMYhBBCDAYJDEIIIXoMRGCQYSQhhOglJTGEEEKcS9JVhRBC9J0EBiGEED0kMAghhOjRt8BgMBikiJ4QQgwg6TEIIYToIYFBCCFEDwkMQgghekhgEEII0UMCgxBCiB4SGIQQYoDJymchhBBAb0q/bNQjhBCiryQwCCHEgOpX5emBCQydTkfKbwshxAAYmMAghBBiMPQlMEiNJCGEGFx9LaLX/V8hhBC9+tU+9nUoSYKCEEK82Ac/+SyEEOJ5ssBNCCFE30lgEEII0UMCgxBCiB4SGIQQQvSQwCCEEAOou4jeVZPAIN5LUj5FfEikuqoQr6HdbtNut5/7f5CgIa6XfpzP5it/RyHeUrvdJp/P0+l08Hg8mM1/PX1rtRrFYhG73Y7f7+/jpxTi/Sc9BvHeaDabbG1tkUwmqdVqwA93UwaDgVKpxPLyMru7u6r3ID0HId7OQPQY9EkWKZEhXqbVavHs2TOazSZerxeTyYTT6aTT6ZDL5bh//z6JRILx8XE8Ho+cT+K91X3ufrBDSfoYcbvdlotZnMtgMNBoNNjd3aVWq7GwsEAwGMThcNDpdCiVSmxsbGAymahUKjgcjp6hJiHeFwaDgXa7rfao6Ueb2Lcrx2AwYDT+MJKlaRrNZpNGoyGB4R0M4nf3qrud7s+s9xrP27TJarXSbDbRNE3dRHQ/pt1uq593Oh1ardYr31uGmt4/g3iOv6lXnXc2m41ms6nOYZPJhNFovNJj71tgMBqN2O122u026XSa7777jkwmo4LFi+gNR/ffL9Nlvr5+LBfxHm/6Gt3f42Uf48t0Oh01YdxqtSiXy7RarZ4sI/ghMORyOfb393G5XBgMBkwmk3qNTqeDpmkcHR3x6NEjnE4nwHOvo2u32+e+z5sc09kLvB+NVr8byqs6j9719bt/Z4Pwnb2M2Wzm9PSUSqWCy+XC6XRitVqv6NP9/2e40nfrfmOzGZ/Ph8lkYn9/n7W1tVdGxtf9hb5NI/mur3NRjz07tviq172IY32b13hR43je6573+vrzOp0OQ0NDzM7OUqlU2NnZoVaroWma+rl+11Sr1VhfX2d6ehqz2awCg/64drvN9vY2v/vd7zAajarxP3sjYTAYaLVaVKvV1+pZnHdMb+oiGrWLft13eY13uRYv47x+0+d2907f9vXf5vnnXRPdgdVgMKBpGmazGb/fz/DwMIFAAIfD8WH0GKxWK+FwmFu3buH1eimXy2ia9soew7t4k7uFs4/tx7DDRd3dnHdn+6K73bN3f5d13N2BwePxEI/H1R2SpmnPBR+r1Uo+nyeXy2G1Ws+9geh0OgQCAWZmZrDZbC+8gLuHq7o/x6B5Wc/4VefGIB6P7iLv2l90nK9z7Z53jl/2ef86NE3DYrEQDocZHR0lEAhgtVo/nMAQCATw+/0sLi4+N2Z81ot+9ia/wHd5jX58ttd9/tuMpb/ra1/k9242m3E4HDSbTSqVCiaT6bneo91uJ51Os7m5CXDuDYTRaCQWi/GjH/0Ir9eL2WzGbDaf26iaTCYVYK7iWN/2ORf9eq/7mLdtGC/ivd/0Of06lst4Xf1mxWg0qiEks9l8qTfM5+lLYOhOT73KKNh9d3gVvYGLeN13udDetqv8tu/3tvREBJvNhtPp7Dkv9P+azWbcbjdWq5VWq9VzoXTf5dntdoLBIF6vV73ui7rtJpOp7+PNLzonu3/WD5f93u8aHAbhzv6y243ugHDV52lf8/mu+mBfNObd78ZB/PUu/mUsFgsmk+ncC9JmsxEMBhkaGsLpdGK32y/ro16ol83DyHkp+kUSvcVAeN0JQ5vNpu6iugOEx+NhdnaW0dFRWb8gxDuSK0i8N6xWK0tLS7RaLXw+X08ACAQC3L17F7/f/8qehxDi5QydQU5fEKKLpmlks1na7TYejwebzYbJZFJpqa1WC7PZjMViufLJOiGuEwkM4r2hr2iGHzKQ9InlQVhoJsR1IoFBCCFED+lvCyGE6CGBQQghRA8JDEIIIXpIYBBCCNFDAoMQQogeEhiEEEL0kMAghBCihwQGIYQQPSQwCCGE6CGBQQghRA8JDEIIIXpIYBBCCNFDAoMQQogeEhiEEEL0kMAghBCihwQGIYQQPSQwCCGE6CGBQQghRA8JDEIIIXpIYBBCCNFDAoMQQogeEhiEEEL0kMAghBCihwQGIYQQPSQwCCGE6CGBQQghRA8JDEIIIXpIYBBCCNFDAoMQQogeEhiEEEL0kMAghBCihwQGIYQQPSQwCCGE6CGBQQghRA8JDEIIIXpIYBBCCNFDAoMQQogeEhiEEEL0kMAghBCihwQGIYQQPSQwCCGE6CGBQQghRI//AwyD8GqIxIrOAAAAAElFTkSuQmCC)
physics-General
physics-
In the adjoining figure the equivalent resistance between A and B is
![](data:image/png;base64,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)
In the adjoining figure the equivalent resistance between A and B is
![](data:image/png;base64,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)
physics-General
physics-
The charge on the capacitor of capacitance
shown in the figure below will be
![](data:image/png;base64,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)
The charge on the capacitor of capacitance
shown in the figure below will be
![](data:image/png;base64,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)
physics-General
physics-
Each resistance shown in figure is 2
. The equivalent resistance between A and B is
![](data:image/png;base64,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)
Each resistance shown in figure is 2
. The equivalent resistance between A and B is
![](data:image/png;base64,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)
physics-General