Maths-
General
Easy
Question
The area of the region bounded by y=|x-1| and y=1 in sq. units is
![](data:image/png;base64,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)
- 1
- 1/2
- 2
- 3
Hint:
We are given an area bounded by y =|x-1| and y = 1
The correct answer is: 1
From the diagram we can see that, the area bounded is a triangle.
We will use the formula of area of triangle to find the area.
Area =
× base × height
The height of a triangle is the perpendicular distance from the vertex.
From the figure, the vertical distance is 1-0 = 1
The base of a triangle is the side from which we measure the height. Height and base of the triangle are perpendicular to each other.
From the figure, the base is 2-0 = 2
So, the area =
× base × height
=
×2 × 1
= 1sq.units.
The area bounded is 1sq. units.
For such questions, we should know area of different shapes.
Related Questions to study
Maths-
The area of the elliptic quadratic with the semi major axis and semi minor axis as 6 and 4 respectively
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)
For such questions, we should know the formula of area of different shapes.
The area of the elliptic quadratic with the semi major axis and semi minor axis as 6 and 4 respectively
![](data:image/png;base64,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)
Maths-General
For such questions, we should know the formula of area of different shapes.
physics-
A solid sphere of radius
has moment of inertia
about its geometrical axis. If it is melted into a disc of radius
and thickness
. If its moment of inertia about the tangential axis (which is perpendicular to plane of the disc), is also equal to
, then the value of
is equal to
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALgAAACuCAYAAACFvMdBAAAgAElEQVR4nO2daWxb15XHf6S4SKJIShQpkpIoarMW29osR0ukJE5ip0mbOG1Qo+iSQVMUaKdov0w+zJcOUGDmczFL0RbFYKbATItkskwyTtzGduLY9RJLsi3b2qx9oyRKlChK4r7NBw/fxLElr9TC3B/wYOvxie+S+vPw3HPPOVcWj8fjJBG3241KpUKj0STzNgLBHZEn64nj8Th+v5/z588zMjKSrNsIBBuSNIFHo1EWFhb493//d86dO5es2wgEG5I0gQsE2wEhcEFKIwQuSGmEwAUpjRC4IKURAhekNELggpRGCFyQ0giBC1IaIXBBSiMELkhphMAFKY0QuCClEQIXpDRC4IKURghckNIIgQtSmm0l8EgkwsjICO+99x4Oh4NQKLTVQxLscLaVwKPRKNevX+cf//EfOXr0KAMDA6yurm71sAQ7mG0lcLVajV6vJxwO8zd/8zf88pe/pLu7m1gsttVDE+xQtpXAASorK/nBD35AVlYWJ0+e5Be/+AW/+tWv8Hq9JLnDhSAFUWz1AL6I0Whk//79FBYWMjw8TFdXFx6Ph/n5eb73ve9ht9vJyMjY6mEKdghJE3gsFmNtbQ2VSoVarb7n31OpVOTn53Po0CGWlpaYmpri6tWrzM/PEw6HOXDgAA0NDVgslmQNXZBCJM1FicViLC0tkZGRQXp6+n39rk6n49vf/jYlJSUolUoikQjT09P8y7/8C7/+9a85efIkMzMzwmUR3JVt56LAzclmfX09VquV9PR0gsGg1CnrT3/6Ez09PQwMDPB3f/d39/XtIPjysS0FnuCb3/wmbrebTz/9lGAwiEKhoK2tjd27d1NXV4dKpdrqIQq2Odta4I8//jjnz5+no6MDmUyG3W7nu9/9LnV1dZjNZmQy2VYPUbDNuWeBLy4usra2hl6vR6fTIZcnP8JosVhoaGjg4sWLDAwMUFtbS1tbG9XV1Um/tyA1uCeBh0Ihrl+/jsPhoLm5Ga1Wm+xxSTQ3NzM6OorT6aS+vp6srKxNu7dg53NPZtjhcHD27FmuXbtGYWHhpljvBGVlZTz22GOUlZXR0tKCXq/ftHsLdj4bWvB4PE44HOYPf/gDcrmcI0eOoFKpNtX3XVxcZG5uDqVSyZ49e0QjfcF9saEpDgQC/PnPf8bv91NZWUlVVdWmWm+Aa9euMTk5yYEDB9Dr9aSlpW3q/QU7m3XVGo1GWVpa4r333sNut1NXV7fp/u/S0hI9PT34fD6+8pWvoFBs66CPYBuyrsD9fj+Tk5MMDw+za9cuSkpKNm1Q8XicSCRCd3c3i4uL2Gw29uzZI6y34L5ZV+Dz8/N89tlnNDY2YjabN1VciWX+P/7xj5hMJr71rW9t2r0FqcW63/kej4eBgQH279+PTqfbtAEl8k7+6Z/+ib1799Le3k52dvam3V+QWqxrwd1uN729vdTU1GyawILBID09Pbz77ruYzWba29spKysTvrfggVlXOV6vF4fDgc1mIzMzM+kD8fl89Pb20tXVxdraGi+//DLl5eUiLCh4KNYVeDweJxqNkpaWltTQYDweJxQKcePGDT766CMikQivvvoqJSUlmx6SFKQe6ypILpejVCoJh8NJrYkMh8MMDw/z29/+Fr1ezw9/+EMhbsEjY10LrtVqKSkpYWRkREqwepSEQiEGBwc5fvw4vb29HDp0iObmZsxmsxC34JGxrsBNJhNNTU1cuHABm832SASecHuuX7/OlStXmJqaQqlU0tbWxuOPP05BQYGIdQseKesK3GKxcODAAd588036+vrQ6/UYjcYHvpHX62V6eprBwUGGh4dxOBxotVpaW1tpbm4mIyND5HcLHjnrCtxgMNDU1MTp06fp7OxEqVTy2GOPodFoUKvVdxVjIlErHA6ztLREb28vp0+f5tixY+zfv5/Dhw/z2GOPiQp5QVKRxTeo3I3FYiwvL/PGG29w+fJlcnNzOXz4ME1NTSiVyg2feGVlhTfffJP/+I//YGZmhvz8fJqbm3n11VcpLCxEq9WiUCiE1RYklQ0FDjdF7nA46O3t5dq1a4yMjBCLxcjKysJms2EymaRrXS4XTqeT2dlZnE4ncrmc2dlZnnzySV588UWKioooKipCrVaLiaRgU7irwBMsLS0xNjZGf38/U1NTRCIRYrHYLa0bZDIZcrkcmUxGLBZjfn4eh8PBK6+8wpEjR+67fYRA8LDc8xq4wWDAYDBQX1/P/Pw8KysrOBwO5ufnpWuMRiN5eXlYLBYyMzM5evQonZ2dGAwGIW7BlnDfSR5paWlYrVasViuVlZXrXre2tvZQAxMIHgXCERakNELggpRGCFyQ0giBC1IaIXBBSiMELkhphMAFKY0QuCClEdW8D4HX6yUcDhMMBvH7/UQiEeBm8XQwGJR+/jyxWEx6/F4qpeRyOZmZmev2QlcoFLfk6qvVajIyMpDL5SKhDSHwOxKNRonH48RiMen/dzo3Pj7O8vKylHPj9XqBm0lnCwsLd1zNDYVCLCwsSHsO3Q2lUondbsdgMNzx8aysrFvaSRuNRmw2G2q1moqKCrKyslAoFFIhSULwcrn8tnOpiBD4HZicnMTtdjM/P8/U1BRer5fx8fHbzhUWFqLX68nNzcVisUi57RUVFbS2tt6xI4BSqSQ3N5fc3Ny7phzDzZpVh8PB8vLyHR/3er0MDQ1JPw8ODnL69GnC4TCjo6N4vV5yc3OlLM7KykqysrKwWCzSB6GyshKtVpuSGZ5fWoHHYjECgQCTk5NMTk4yPj7O2NgYk5OTpKeno1QqycjIQKPRoFAosNlslJeX33JOq9WiUqlIT0+XzgGkp6dLz/FF5HK5tDHXvQgqFothNpsJBoN3fDwcDtPQ0CD9HAgE8Hq9xGIxPB4P4XAYv9/P2tqalN+/urrK/Pw8Fy5cIBqNsry8THZ2NoWFhRQVFWGz2bDb7ZjN5h1fkPKlEHgkEmFpaYmFhQXJfXC5XCwvLxONRqUjLS2NoqIicnNz0Wg0aLVacnJyUKvVGI1GMjMz0el00rnNQC6X37UeNj8/f8PHV1dXWVpaIhKJMDc3RzAYxOPx4Ha7CYfDzM3NSR+E4eFhxsbGkMvlqNVqsrOzMZlMmEwmLBYLJpMJjUazY6x9ygk8YZk9Hs8tx+LiIgsLC9KxtLREOBzGbrdTUlJCWVkZ5eXllJSUbHoP9GSj1WqlXTnKysrueI3T6WRiYkL6JhsbG8PlcqFQKG4TeE5ODlqtVvqw63S6bbshWEoIPBqNEolEiEQikttx+fJlLl++zNWrV5mcnMRut1NdXc3u3btpb2+nqqqKoqKilBLyw2A2mzGbzTQ1NUnnfD4fU1NT9PX10dfXx4kTJ+jt7SUWi1FSUkJtbS0tLS3U1dVhMpmkyaxSqdw272tKCHxsbIyOjg4uXrxIf38/kUiEyspKqqurOXz4MHa7nczMTNRqNSqVSjq2yx9hu5KRkUFJSQkFBQU89dRTBAIBQqEQi4uLTExMMDg4yNtvv80vf/lLDAYD+/btY9++fbS3t6PX67eFG7MjBb62tsbU1BTd3d10dHQQDofR6XQUFRVRX1+PyWTCaDRiNBrJzc3dNm/2TkMmk0nG4PMkIjDV1dW0trZKcxq3282ZM2d4//33KS0tpa6ujpqaGoqKirboFewggYfDYWZmZrhx4wbj4+MsLi4SDAZRqVQUFBRQUlJCeXk5hYWFGAwGYZ2TSCJKlJeXR3V1tRTbHx8fZ3x8nMHBQXw+H5cuXWJgYACDwUBVVRXl5eXk5ORsarfgbS3weDzO6uoqLpeLmZkZhoaGuH79OgsLCxgMBpqbm3nqqacwmUzbdpLzZSBhZAoKCmhrayMcDnP9+nU+++wzrl69yuLiIpOTkzgcDoqLi6XJ6ma4iUkVeKLi/n5fRGLl0Ofz0d3dzYcffsgnn3xCfn4+r7zyCgcOHMButydjyIJHgFKplPzxxKT/rbfe4je/+Q0ZGRk888wzvPjiixQUFEjrAckS+j23jbhfVldXeeedd+jt7eXgwYN85Stfua/fPX78OO+99x6RSETa4dhut6PX69FoNPe0CijYehIdzjweDy6Xi4GBAS5cuMCVK1fYv38/3/jGN9i7d2/SetAnzYInVtLUavU9L4pMTk7y2WefcfHiRdRqNa2trdjtdoqLi7Hb7Wg0GuFb7zASE9VE/Dw3NxebzUZTUxPj4+O8+eabnDx5kqamJtra2khPT3+kf+OkCjwQCKBQKDacVMTjcfx+P11dXfT39zM7O0tGRgZ79uyhtbWV/Px84V+nCAqFgry8PPLy8qirq+Pq1atcvHgRp9NJR0cH09PTtLS0UFRU9Mgs+pZOMoPBIAsLCwwNDXHixAkCgQANDQ08//zzGI1GYa1TGKVSyf79+6mvr6e/v59Tp05x4sQJfD4f+/bto6ysDIPB8NDttLdM4LFYjKmpKY4ePcof//hHXnvtNb761a9SXFy8VUMSrMMX2/Mlzj0KA6RQKKipqaGiooKvfvWr/MM//APnz5/nhRde4MUXX0Sn0z3UfbZE4OFwmFOnTnHmzBmi0Sj//M//TGlpKTk5OVsxHMEG+P1+3G63lK5bWFgonTebzY/sPiqVCpvNxt///d/T0dFBZ2cnQ0ND/OAHPyA/P/+BY+ebKvB4PE4gEOD9999nYmICu91OfX09e/fuFR1ntylut5vOzk7Onj1Lbm4uTU1NjIyMMDIywk9+8pOHEt/nkclkqNVqbDYbCoWC7Oxsenp6+Nd//VdefvllKY/9ftk0gSdykT/66CNGR0cpLCykubmZqqqqzRqC4AFQKpWoVCpWV1eJRCKsrKywvLyMy+VKmkGyWq3odDr0ej3Hjx+XCjiqq6vR6/X39VybIvDE1txXrlzhgw8+4JVXXqG9vf2RfsUJkoPJZGLv3r309/cjk8koLCzEarVSW1sruSvJQKPRUF9fT0FBAb/+9a/p6OhAJpOxd+/e+9o7dVN8gmAwyMWLF/nd737HT3/6U5577jkh7h3EwsICH374IQaDAavVSnNz830t3D0oCoUCi8XCz3/+c1ZXVzlx4gT9/f339RxJF3gsFuPEiRN0dnbyrW99i927d4vdi3cQfr8fh8NBX18flZWV6xY/J4vEQtF3vvMdDAYD//M//8PIyMgdOxbciaQL3OFwsLi4iNFopK2tLWWLW1MVt9uNz+fj6aefpqCgYNNK9T6PTCbDZrPx2GOPkZOTw+9//3s8Hg/3kmWSNKXF43GCwSATExPk5OTQ1NSE1WoV4t5hOJ1OFhcXeeGFF7Y0r16hUFBdXU1NTQ1jY2NcuXJl3U4Dnydpo41Go8zNzeHxeCgtLWXfvn3JupUgiTidTmZmZqRQ7laSlZXFrl27aG5u5tixY0xMTNy1eVLSBB4MBrly5Qp5eXkUFBRsapK74NERDAaRy+U0NDRsucDh5kLT17/+dc6fP8/w8DA+n2/D65Mi8ETdnsvlIjs7+5Hvcy/YPJ588kl+9KMfbfUwJNLS0sjKyqK1tZXJyUlGRkY2vD4pAne73fT29qLRaKTWYYKdSU5ODgUFBVs9jFtIT0/niSeewOFw3FXgSVHe8vIy/f395Obm3tO234JbWVxcZHx8nIWFBfLy8rDb7eTk5IgJ+v+hVCqpr6/nv//7v3E4HBtemxSBr62tMT09jVarFZU390GiBrWzs5O3336b69evU1dXxze+8Q0aGxvF+sH/EY/HycnJYXV1lcXFRUKh0Prdd5MxgEAgwMLCAjqd7qHzeb9MhMNhTp8+zb/9279x9OhR4vE4ly5dwuVy4XA4qKio2OohbisCgQArKyvMzs6uW6ObFIHHYjFCoRBpaWnCPblH4vE4/f39nDx5ku7ubqLRqPTY5cuXWV1dxWq1buEItx/Dw8PI5XIuXbq0uQJPS0sjMzOTcDh8T6tNgpurdXl5ebS3t0s9AhM0NDTw7LPPCoF/gRs3bmA2m9m1a9e61yRF4Onp6RgMBpaWlm6xRIKNsVqtHDp0iHg8Tjwex+l0YjKZ+M53vsOzzz676Xkg25XEKvnvf/97zGYzJSUl616bFIFnZmaSn5/P+Pg40WhUuCn3QXZ2NocPH6axsZFLly5RX19PYWFh0toq7ERisRizs7OEQiFCoRBer3fdYoikxJ1MJhONjY3MzMwAiKr4+yQ9PZ2SkhJeeeUVqem+4P8JhUJcuHCBlZWVu66xJMWC6/V6KisriUQit2zOJLh35HK5iHuvQyAQ4M9//jOzs7OoVKoNDUBS3sFoNEooFCIjI4Pp6WlcLlcybiP4EuLz+RgdHcXpdCKTycjKytpQ4Emx4OFwmNXVVeLxOA6Hg6mpKTwez33X0wkEnycejzMzM8Px48exWq34/X6ys7M3XExMigVPS0tDpVLh8XgIBoOMjo7S19d3T/tCCgTrsba2Rl9fHx999BEVFRXU1dXdtfQxKQJP9I5WKBTU1tYyPj7Oe++9h9frFXFxwQPT2dlJV1cXhw4dore3l7Kysruu7iZF4DKZDKVSidFoJBAIsHv3bsxmM7/61a9YWVkRllxw33R2dnLt2jU0Gg3t7e1MT09js9mw2Wwb/l7SpumJvSWdTifZ2dlSRc8bb7zB9PS0ELngnkg007948SKZmZns2bOHiYkJdu3aRVFR0V2bASVN4GlpaZhMJiKRCF6vVyo6HhgY4MyZMwwPD6+7ualAALCyskJ3dzeffvopsViMqqoqDAYDZ8+e5dChQ9hstruGUpNWiZBwU0pKSnA6nQwMDPD8888TiUR46623cLlcfO1rX8Nut4uFIMEtxONxvF4vfX19vPPOOwB8//vfJzMzk48//hiv18uTTz5JXl7eXZ8r6SsJe/bsYXV1lQsXLhAIBGhra+Ov//qv8Xg8/Pa3v+XGjRsiX0VwC36/n2PHjvGf//mflJaW8vrrr1NZWcm5c+fo6urixz/+8T0XgCRtCxOXy8UvfvELiouL0el0eDweAoEAr7/+OgAjIyNcuHCB7u5uqSd4fn6+yB//EhOJROjr6+P999/H7/fT0NBAS0sL+fn5fPrpp3R1daHT6fjud79LVlbWPQk86cWSaWlpVFdXs7a2xp/+9CfOnDlDU1MTlZWV0o64c3Nz/Nd//Rd1dXXU1tbe01ePIHUIhULMzMzQ0dHB4OAgCoWC5uZmGhsbsVgsDA0N0dXVhVar5cCBA/dVxL4p1cDZ2dnY7Xbm5ub4+OOPMRgM7N27l6qqKmw2G5988gnnzp3j3LlzLCwsUFZWRmlpKdnZ2aJgOYWJRCJMT08zNjbG8PAwQ0NDaDQaXnjhBXbv3o1cLsfhcHDq1Cnkcjm1tbVUV1ff1z02TT2FhYU899xzXL58mStXrqDRaKioqECj0fDSSy/R2NjIO++8w9tvv41Go+HIkSPU1NRgNBpJT08XQk8REruu+Xw+XC4XH330EX/5y1+QyWR8+9vf5uDBg1KxjMPh4Ny5c/T09PD973+fhoaG+77fpqlGLpdjNpv5+c9/zm9+8xtOnjwJ3JyEApjNZl577TWee+45Ojs7+d3vfodOp+OZZ57hmWee2TCpXbBz8Pv9DA4OcuzYMY4fP05DQwN/9Vd/RWNjIzqdjvT0dABp36bu7m7+9m//luLi4gcycptqFhUKBSaTiSNHjvCXv/yFDz/8EI/HQ1NTEwqFgqysLGlSWlpayuDgIDdu3ODSpUvk5eXx1FNPsW/fPpG0tcOIxWLMz89z9uxZurq6cLvd2Gw2fvrTn1JeXo7NZrslKnLq1Cm6urqQy+X87Gc/o7i4+IG7am36975cLqeqqopAIEBnZydnzpzB5XLR0tKC0WhErVZjtVqxWq0UFhZiNpsZGhpiaWmJM2fOcPnyZQoLC6moqKC8vJysrCxRMbQNiUajLCwsSL71zMwMkUhEMl67d++mpqaGrKws0tLSiEajLC4u8sknnzA+Pk5WVhb19fUP3dNySxzbtLQ06uvrycjI4NixY5w/f55oNEptba20vTNAUVERRUVFtLW1MTQ0xOnTp+nv72d8fJzp6WlGR0cxm81YrVaMRqP0Zgm2hnA4zPLyMvPz8zidTqanp5mYmGBqagq5XE5rayutra2Ulpbe4m74fD4cDgdXr17l7NmzVFRU8MQTT7B3796HHtOWzdzS0tLYvXs3NpuNDz74gA8++ICJiQmef/557Hb7LTve6nQ6GhsbaWxsZH5+nkuXLnH8+HHeeusttFotTz/9NK2trZSVlaHValGpVCiVShQKhaiKSRLxeJxYLEY4HJaOpaUlrl+/zpkzZ+jo6ECr1fLUU0/xwx/+kNraWslwJYjFYvj9foaHh/nkk0/4+OOP+clPfkJLS8sjK7BO+kJPWVkZBw8epKam5o7XJV7k9evXef/995mdneXQoUMcOXLkjkv4iWohv9+Px+ORLHtnZycrKyuUlZXR0tJCY2MjlZWV5ObmJuPlfekJh8O4XC4uXbokHYkGPG1tbdKOxVlZWaSnp6NSqW5xJWOxGG63mzfeeIOuri4sFguvvvqqtMvxozJMWy7wBKurq4yOjtLT00N/fz9+v5+XXnqJurq6dffPjEajUmej+fl5FhYWWFhYwOl0srCwQDAYRK/XU1paSlFREXa7HbvdTnZ2djJecsoSCoVYWlpiYmKCyclJxsbGmJycZHl5GZPJdMuRl5eHxWIhLy8PjUZzx/mR0+nk1KlTnD9/HqPRSGVlJXv27GHXrl23fRAelm0jcPj/dgBdXV10d3cjk8mwWCxUVVVRW1uLXq/f8MX7fD5mZmakP8D8/Dw+n08q4E0cWVlZWCwW6Q9iMpnIzs7eFv2vt5pAIMDc3NwtBmNpaQmfz0csFpNcE5lMRmZmpjRPKioqIi8vb8PEuYmJCXp6ehgcHGRlZQW1Wk1jYyM1NTVYLJakvJ6k+eDxeJxIJHJf1eFyuZyCggLy8vKora3lnXfeoaenh5mZGVwuF+Xl5RQWFqLT6e4YE83MzKS8vJzy8nLgpuDn5uYYHh5mfHyc8fFxxsbGCAaDmM1mcnNzMRqNGI1GDAYDer1eKmLNzMwkPT0dpVJJZmYmCoUiZaI1Pp+PYDBIOBxmbW2NcDiM1+tlbW1NmiS6XC7p8Pl8aDQaiouLKS4ullaa8/Pz73qvYDDI/Pw809PTDAwM0Nvbi8/no62tjUOHDmEwGJK6iJc0C+50Onn99ddpa2vj4MGDG7bX2oj+/n6OHj3KsWPHKCsr45vf/CY1NTUYDAaUSuUDda+dn5/n2rVr9PX1MTAwQF9fHy6Xi6ysLCoqKigoKMBut5OXl0d2djYlJSVoNBqUSiVyuRyZTCb1XUxLS7vt3FYRjUYlC5vI0IxGo5LlTTw+OTnJwsKCNIdZXl5mbGyMGzdu4PV6qauro7q6Wjrud5v1xGplKBTC4XBw4sQJ3nzzTQoLC3nxxRd57rnnMJlMyXobbiFpAp+bm+PHP/4xL730EgcPHly3OeLdCIVC+Hw+nE6ntDgkl8vZv38/Bw8eZN++ffcdGkxMVD9/rK6uMjc3x9jYGHNzc9LucCsrK0xNTeHz+cjLy8NsNpOdnU1paSkajYaCgoLbzm1VqHJiYkIS7uDgIOFwmPHxcVwuF8vLywwNDREKhbBarRgMBrRaLSUlJWi1WoqKiigpKcFqtaJWq6VIVOLfe/0WTuRyd3Z2cuzYMXp6eqisrORrX/sau3btIjc3l8zMzE17j5Im8NnZWX70ox/x9a9/nYMHD1JUVPRQzxcOhyX/OhFbXVhYQC6X097eTkNDw0NtcxeJRPD5fHg8Hunr2u/3S+JP5E8EAgGCwaD01Z44l7guEoncVlidk5NDTk7ObWEyALVajV6vx2g0Ajc/0G63m8XFxduuTVjGyclJQqHQbY9rNBopYqHT6aT5xkbn9Ho9KpUKrVZLdnb2A7eIW1tbY3R0lPPnz9PX14dSqcRisdzi0mi12k3/8O+YDCalUilFQebm5rhx4wb9/f1MTU3R09PDjRs3yM7OpqCggKKiImw2G3q9/p5dGIVCgU6n2zAV0+PxsLKygs/nk6I0brf7tnNfFHhiHhIOh297zsSHxOl0Sudisdgda1YTz7ue75ubm4tWqyUjIwOz2UxaWhpGoxGtVktmZqZ07lG4UYlFnampKcbHx5mdnWV5eZlQKITBYMBut1NbW0tFRQVarfah7/eg7BiBfx6LxYLFYuHxxx/H6XRy4sQJOjo6uHr1KiaTSQoJJlY4c3JypCjJw8RX9Xq9lAdTWVl5z7+3uLjI4uLiHXcES3xIEgJXq9XSxPeLyOVylEolpaWlmx7xicfj+Hw+3G43brebpaUlZmdnmZiYYGxsDK/Xi9Vq5emnn2b//v3k5ORsiwzQrR/BQ6BUKiksLOS1117jtddeY25ujs8++4yzZ8/y7rvvIpPJqK6upqWlhdbWVgoKCiT/LzE53Axyc3N35IJTNBqVjlAoxMjICGfOnOHcuXOMjo6iUql44oknePnll2loaEhaqO9h2NEC/yJGo5Fnn32Wxx9/nJ/97GdMTEzQ39/PtWvX+MMf/kBWVhaNjY20trZSU1NDQUFByoT+kkGikqajo4PLly+j0Wioqanh8OHDlJeXk5+fT0ZGBhqNZtuuIaSUwBUKBVqtVvL5DAYDNpuN+vp6nE4nLpeL+fl5Pv74Y959913C4TCFhYVSA5nCwkKsVutd+92lEvF4XHKRZmdncTgckk8tl8vR6/UUFxfT2NhIbm4uVqsVs9mMwWDYET3LU0rgXyQh9kSxhMvlYmhoiKGhIaampnC73VLZlNPp5OrVqygUCtLT08nJyZF84YQfr9FotoVf+SBEo1HW1tYkH9rlcrGwsIDb7SYQCNySNBUOh9FoNFgsFkpKSigvL5fWAnZa8trO/Gs9IAmxtra2SiG3sbExRkdHGR0dZXx8nKmpKVZXV9FqtZjNZim3IhGN0G+TsGgAAALISURBVGg0UrveRLw4LS0NhUIhWTSVSoVKpdqUD0MkEmFtbQ24aY1DoRCBQAC4GekIBoMEAgFplTKxOul0Opmbm2NpaQmtVovVasVms1FVVUVFRQU2m23dFeOdxM4e/UMgk8lQqVRUVlbeFhFZW1tjZGSE3t5eent7+eCDDxgaGmJxcRGtVktxcTEANptNykPX6XTs3r0bQPpQJFylxErnoyCxf08iZLi6usq1a9eAm4KenZ1lampKcj0SLkdiW8fy8nJ27dpFbW0t3/ve96QU451mme+VL63ANyIzM5PKykqKi4t59tlnCQaDhEIhgsEgi4uLUkgvsWro9/uZmpri3LlzwM2dnt1uN36/H5VKxa5dux7ZNiTxeJzx8XE8Hg/hcJjMzEzJBUtLS8NgMGAymZDL5ZLvnMjuS+TKq1Qq0tPTpW+gVBU3CIHfEblcTnp6Ounp6bfUfyZy11dXVwHwer34/X7Jb3W73cDNwtrEKmgsFsPr9T7S7l3t7e1STxmVSiUVB8jlcjIzM6U0VbVajUajkVyrL8vE+fMIgd8HcrkcjUZzz1tqJzIqZ2dnH1mj0cR+mluZ87KTEAJPIokGpA+bhyN4cFLX+RIIEAIXpDhC4IKURghckNIIgQtSGiFwQUojBC5IaYTABSlN0gQej8cJBAIoFIodn5Em2LkkTeCxWAyPxyPldAgEW0FSLXgoFEIul4ucCcGWkXQfXNQ8CrYSMckUpDRC4IKURghckNIIgQtSGiFwQUojBC5IaYTABSmNELggpRECF6Q0QuCClEYIXJDSCIELUhohcEFKIwQuSGmEwAUpjRC4IKURAhekNELggpRGCFyQ0giBC1KapAk8PT2dlpYWrFYrKpUqWbcRCDZEFk9s1/WI8fv9nD9/nj179mAymUTrCMGWkDSBCwTbAeGDC1IaIXBBSiMELkhphMAFKc3/AjO9ymB5DEmQAAAAAElFTkSuQmCC)
A solid sphere of radius
has moment of inertia
about its geometrical axis. If it is melted into a disc of radius
and thickness
. If its moment of inertia about the tangential axis (which is perpendicular to plane of the disc), is also equal to
, then the value of
is equal to
![](data:image/png;base64,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)
physics-General
Maths-
The area of the region bounded by y=
and the x-axis is
![](data:image/png;base64,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)
The area of the region bounded by y=
and the x-axis is
![](data:image/png;base64,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)
Maths-General
Maths-
Area of the region bounded by y
is
![](data:image/png;base64,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)
Area of the region bounded by y
is
![](data:image/png;base64,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)
Maths-General
Maths-
Area of the region bounded by y=
and y=2 is
![](data:image/png;base64,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)
Area of the region bounded by y=
and y=2 is
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L3cVjqxcR3JT1bAg+E40fVuRgE52Q0SFBBDzap6v4JSdqVZm1PuouBHrO6T5K+r4TC6Kkxuj8/Hpu6LCx/eM5TIjceXtgk2AjmM7s90cMj8cj1I/Wb8Etmy4BccSKMpIvUhR2pUzfHmaeERnihgTXdQG0KE/8uUKU4RI3DNKolnZBO0+PhMpl6P6qnFkYXsCX6QQGSJJrjYRWSDFn9oHBFcHPSCXypFz+kDIuLnR+gluewogMX3qK668gd6N8EUVHGAi0SoNPanebX/uNTXKdu5vtLnebj+OjRvda/Hjpdj2Lae75reOM56bSSNLX2XR1X11CBc7fKnCxKNfIb1ngAO+3X8e4+nkDCXvDS+DAiKODy9lzgxdyBMOlv8TJh0Z3jTTNYW6ymrq8H9IfOOG56Zn436brRaZWgVIcc8mwqqpYynqMedFP1RsPMu/UghCxoZvWOlaT7WOrKbLr4UUk6jEnS+pUATsSjzrjiqBkcf1SJMSedzh96sX+YKNn24sGVTtnWO+wu5qhOUI//CNi84FFlp0mnYY+NIWTRwEh6cu3P/NtK0nizD4WsJZ3g6dzrw39MByOT4MnZdTOH6T2d7iXgde6JuaLSaaoRtf1e0WkvGXPcHwROwQ5SeW8YV3exywjLy9OjqQ+t5uFoMND5uGF8RWnHtKjWoNPKoEK7D6Z1g++8fzodVi8878f+YqBfCagc6i2zYbXNRdWISqfD8tyrdfrF6LSRNHTa8RISH54+uHn9gkCnvYTxHiRNFaZqUQPf63+GofFBw6PLI9ytzKHe7rWSD3TGGUZGKx/YL6p/aJGnvnN0W0kaOn0hOoa48D7pdFUjXhnmQOdfaXNZ0ekLv6HTJOmGToPna52eNmtEZafzOUkad/QzgEPgi1Hr/R02g5duHrnUUAHfw3NrO73QfFqtRU9G0sU1SaBihfP+vu9WXBB8mmy7PlypXH10U6eXdpp02lvaaSXpcmmnHf9S3pBOH5GkV3Q65/TSZLKX31JMKf4kgqbkhPLchYuViMMlTTskz0VtBk8bQYOU18ojeC6wk2YDuJioOIbRabUGlQNDqey06o9o9lrR6cvDaT385iudhp3uwzor69G00wvoNBH2GZzQGAzQjeSWesFtAJw9x0K4FN4wlpL4NCRtNKw3gp0e0xKYAEmg+mWw06K206gRZ2/pNGxpIy+vodMyOzys6XhP2+nqzOAexk7DXjlXTZ0+PGY8hPwvhqfC9d14S33gNoMbGvx8SiEet6MKoJRkp9UyyQo6rWvE1H/04755ArwPO720Hk073dDps9TFMZU0Gjpdai9EY417gFI0uMd0zU7zMD50KMxH9O7Pw54fCza6uyJJv2GnX8JRZac5ZcksuYfcb1oPstN1hbqq029yD0l2Wr0qNfeo7PRcDj3vuOYeS53WcQ/YfpRC1qB3n8VG17jpj/Yp5yY+IxVZsdPwE56mxk7jXSad0htgp/117qE2Ne005eUdNLjHfkOnV7jHik53qprX6HSDT9NDD3/huXiHn4NHr4M6w/gzLytJpPxX004Tn9YkAdyjaafhe9TcQ+t0baefwHpV+VquadNON7mHttNl5ec3uAck3eAe+6TTD+TDzqiP5atchE8BFlC3xfMSIoLnshAVny7Cmk9Dw8hOG+FCp6enlfVYs9P+ko2/xz3WdPo19yCFNT5ifTh8RPHM8uTw0T+P8u4ns9EGPI/3KbspUFFJ0mmtYbCh4B5KJGt2un96MaytB0maAsxA007rcZhuK6Vs2OnOj6VOv2g+XfmIsNPEPXBqrdOjxuELL4uizPdP/2fHg0rvg/ekcm7PpYq0iyoODa0kPk2L/Bp2uqHT+9M67kE6XbG8pp3W4zDV1kPbae25ZN57fHovqHTaWA9zEf1KUPOvux+12Y2kXcx5CJmSBuWQ2uMySfI97rEn9w9FUOk0tTw9PdfWY5V7vBHLA5+eHmar3KOK5RW1Tk+ITy/jHoyabBzPv8vAo/Wj/JQoeD9bOFd4O8Whvx+Yn6e5R8Wnwdhq60FxD6q2CJp71PHpWqdNP5dap5t2+hWfDkyNOC/vHrVO32idruxEfkkt4ODRnyXW8S7CIHOnA8qdoOieeZd70ZHxEXXco3pti77wh7VO57H/uLTTK9zjN3y6lvRqLK8E98iUnSadXnIP1WTzqWId74I6aPhT78BxE2na+ApVI6pfprhHzaeh016t0xPNp5WoKNRWcUTS6cZ4eSt8umGndZtLZadftI+Igwz3qHRaPSjVKap6Jp8X83EsrvCr8UNrRaIa0cQ9mna6AJ8WgREC6fRq3ENbgrUxIFfstL9upysfsTgRswb3MHaahz3wbMdzP6Fn+BY45WzCW4T1MCXhr5rlUZtLbaepXXXJPSTpdFrViLDTWtKGe3BTfa3a6eWkRcZHNHYa3GNVp+kinMk4O5x9xljH2+CsH0FoMzeuoqMhtW5pSSudruz0XOl0w047g+eqRmxwj3SImq9+P1bs9MU7drqQLp5CrdPKG+eoQ/zH2ZVoqT/lB4DI3vAREq2684eqxZaUUsU9VnzEtfi0bkeEnT761eAejRbbVTv9XtxjyT2UTh9B0oXKA1Jthl9F0ICSmicqUXPKrGlwj5rl9U9998ToNLW5GDv9wiHpd2J578Q9KjttjtnrqHbESqeJe4R9OIbYZdTyeFJbRhhlg0P/af9aDWqgJG2sx5pOX5xWdvpG6bS206yh0zRPwOOfxj24iuVpnabaueRzmezDooARdStb/iVAHSh9ijDIHv0uWAmtfHxFp/fg5Q1X4tMVn44bOr0ay1uLe+hXhXRaSbpuR+wMyU6DZt5QbpPf4eHI972LO5R9JY0mcPCKA1IheldPoNNnqjT1F0ud5n1wjyrCZGJ5WtIrOr0yn8uqnW5yD6XTRl/nNfdAHQxNTpkUzsy7u21zJKmPAlTR9aduEoTzohR169aKnSZv/KTyxiHpxUCnKr7mHnUsb81OL3V6jXtQfJquA0pzKkRCNlo9d739S2GSR7FQeSA94h5aVKt2GlbFr7lHU6fXY3l4D97k09PDdT5dmQYdy6PXJZRpnLm+5/utD674QZiTowBa5Y5y2GxDiFe5B8U9au7B5S3ViGpTU6dpjqJ34h7ZYa3TVZtLdWbdNk6vy6Qn03OQDg+CNmHcLwcelpRRm0QjqtKUDIjdLnVaxT2afHpmXn9tp3XtRtzj7XZE+D2vfMSlTtMTJaMc5mUsDpwZPMPKHn09wEbe+a7IBFxwLao34h5VvofOYdLp1z3FPUzttso9GnaacpjW7HTNPUryK9V1wiDJqKfWLQRdbf16CPPnRIBdeSbyQHGPBvcg9lfnezTbxsPk0I1NO4IZW6w6pGGnKS9v6Y2v8Glwjyq+Mo6pSxwFlf6yR+znAP+Z03gg5KUpc7ym0/3TpfWYw5q/lcP0fnyadLryXKp2xOrMJxT/o+tw6lrxVVnHCjjl7OG3JopKrHIPxfIaLbZTiKpieSv5Hm/HPWB7mm0uTZ0mO616ebAOzqoE/aU8wzdBQ69QD6+AHPN17rGP8rp16/bI5DC9/O8an34vL+9qUeUwVdzDWOJCkvVgRXgtyHRo/+mro+jmkZh6R+DVL9Bp1UvODGAJnfaXeXkqPq1f/7Nb6LQZB7Li02qlstPaemTT97nHcHEUj7na+zuYDg2wCnjEFEQ1XvJSp5ssb7XN5ch0rVqf83M1Pl13/ap8xMobl+IQF+xTIM9NThqDd35pcFYmrqfyL7ok6bpH0YvyxitJN2J5VCNWeTkUn25kIazFp9d0uvbG88x3T+Pbfd8b7HhHw43iBt4ieWnJWNVucd/IQ7W5LD0X6LRpc9F82mz4TTviMte0anOplJeNBA1W4PtkOr6NoCHFmzx7dB5FpJhc3fOzIB+xjuU17LTi00ZbiU8328aVpCudfjeH6ew5c73pzBPJV4ze/Q6TQBzNphm15TZ6s8pGPxfVjmjsdLPv1lqu6Yqd9us+AVV8uuJyvWsxcJzZ96kMa7yw+8Q98slfXE4lsZJrquMetZ2u49PEp1/Fpw33eB2frnSa3dK4E27S+Q70bg1qQDJIw9u/D431WM01VW0uddv4Sjsi7HQVhlux0/6ruIc6Zs75ydB5/I4aTSho+GyKgIi00kMV96jaEXV8+nXbuM73WHKPFTv9ik/TImeSRvv4Mgk0fwyeB3GGd9qtWV7Rzxq5ppB0w3o04tPU5vIen17nHnhQvIdHekG5d9+KdTTAu0yqPJCsJrjUo2jpI1KNWHGPpU4/6Dn0K5mt8OmLt3zEkKpWyoH4phpN4F1J9ZaIO0bZxk0+razH2/ke7/DpRg7TMj49ydMfWHyq83q+J6hnsueLxKTs0agTtfV4le+h603dNr5mpyvuscz3YKTTd33O8xFsByrDE5oc5vuiyAPI04MBUfyDwWe+NzJUOUwV93i/zWWlHXHazJ8+gE5TryxxNPXc47L3rQUNDZ0EmaNG0iY5wHrclUaGWqeb3ENL2rS51Dq9GvdYzWES/VC63oE3TE6q/b8xKCWBDAi1NkHSbmC6mzR7FGnuoX2OuZ6buZJcw043+27htE8eJd2hNvQGSVkN4vKdwWWcUb9FEjW4x7DKsm7m5a1yD2WnK1PQ4NM4ehn3oLGTnelplvn+MJGqo++3RwheTQOY3PZZgBpx6bnU/VxewttV7vG2ne5kV3WfAMqPdw9mFwPfFdBoU/jNwTkLqA/EeVrG4olGQ1LQOq35tLbTS+7x+LadPm/o9A0NiY1Nvoi/N71rYn6jGmHcLPmRZWklQh33aOblLblHo228yacvG3Z60qchsZ2FGwc0gLSFhmrF9QYuOEL9oq/meyz7ufwuPu0vfcQHeUme4VMi2c3X6MWyEcCAwME7WAwaM1vy/i1xDyWkFe6x2uayFveo8/JUXsfMT8rwK+fP/A260FQVbesaWTf7bqlcU9PMWrDr9/m0yTV9UVPtXihCoxmLxRI5kT2RRdpbhFKSj/hUWw8/rmbPeT/uQVkISqdhYfbB0ilZu35HLAyKUKaJGgW61OlFqkZsZCFUPiLFp2fr/VyUpMvsUOs0D0fu7NET1jN8G5ydqNG5TdCNYnkVn9axPG1vKd+j0eayHp+GpGE6zheOM/jm0bv3MYcWEzFzf6REnVUWwhuxPIpPw3Opdbq20z3YaeLTc3ZySxnxCeidrQzfBAxIIkDNaKRfshKwHr6eGHEllrfa5tKMe5yCe4R7N5S34/k/AmaN9Ht4COGPz5wDn5pHHkjSVRZCw06vx/KUpBX3CMTiEE+AkRs0SDph1RXG4i3wgFpx3STnBcU3qt4Xt0s+vZbDtLTTICvuERyVAKrdGEzE4h0wyk2gePUkLH8Mj6UyzuEP363yp9d9RGWnlaRDeSuyJBFTGtDMWo7/BJ7TBL2eG+VjORqZtEfKYarHrAkp7lGPhbC00zS4QTKkXJ2nS5WcbfFbzDm7zjzP249pRqy+JnMq7mGEtz4WQm2noe0Uk1YpYT1rov8BKJN9QKG9OCiZFqiOe+gasXgv34MmYB8ckKAtj/5ngMTUeBD+eVT1GGxyD3jjb+d7TCRNUkRjW9hYxz8ED1lKmrpUzuZYCMZHfGWnX8JSJT1SuoHZZvEfwcGJqbmkSjvqqf6IFfeguS9W7XSWqyFoKHfEmo4/AxiIuJhdVDmL2k4bCb7BpzMGRkJ9SpWgraT/BPzsWajZEdQoWYp7NPh0s22c7HTGeAmFJh5tW8H/GCE51TAa/fDhRU1AZnT6rfGnMzmOPUfxaCvoP4YaZs/3xa2k4auPwD20Tld9AoxIlZ2+i1JwcPdYVj1mLP4ErANvcTFzR4zruIcxGOAei2UfWzXY7gUNa0wzUJlCiz8Cp3moKQ+kz2QGO21avVSbSyM+fQlq5019VxynVca7xZ+iS9PJeWJ0H9/R/Gjac1nvY0sk2jnw7pLgU03EslvgcEZgFYRA3Sh0222dl7cqaXLB87Aqs/hjwFs8OfZB36ogEmGVT6teFgcDmrqusCr9b8CfodAL5zHTkWoUaB9RSXXObzpqWGNqYVFbLf4eeUwzjDt3z8ZO77G01mmeB5cqP9rGozeAUMLPPqSRdvVkK/AeKztN7qJ/4MNGW89wA+BdRjO7U7dFbSFqH5F3JbktbhJVTYw7gTnnXR6G4eTzBWBIdR3Hz0aq52ahZwzGUihHKB+cP+9UR8OCT0KWyzL/jMnEYT+5U31hVG8jNd84DSCtwqRHl7tG7/hYBqPjH58yfMvDfkojvupZMnqBcNyIg0mDlQyScsfyo3GzKoC77KT9qVDQoMreTFB+dRhkZKdDmR1Nn7JAja68SwhzkrTnZgErHj5h8nY3OM4GrgjCPerh5WeljDJxuoujG0CpgzjLRBIHsm+anD8Vwjw4d72sPy9oHI+nLE6SONrJCW84XNs8iJNMiOy9uY84R8W5i5jc4PZL6goasbPnfc9Z0Ei0cclCUCqzz66gy8HvQnmdPC0cT9xKusc1FlLwn0RPgvvgvgx26Z8sJd5DGQ89x8uCQCWkznRGSJ73JbbTPvigv4/9V57gXvM8lzRMjA593YMcrdWN8zAvR6TzwOn+zvzLRJadJwnk+0ghDjWoMn4DCdsVKIdJpP30LevlD/yXZdnxMd2tu1A36fnDy1/V0IsVOJOj04FHP8NbeN6u/F94M+/C9y9IRejWAIhcw/P9qdnJ7F4vfNR/fB5Or6bmbgm+noOzIW3OTm7F9MBx8ENo1sAdAJ46/T3ODpQCvAY2HNAutN/be2wbB7OFdzDDXdXwRD1JoAHv5WmSDYVQf/hQ/wkf9S1cLFJLwB0+8U1bhq57OHNQIWKFNmKb2oRdcVh95KtzbekbX+pGxfBJq7VHETCSdEOnaTbUsZRk1INOp+wEHSwGQdBBdUML2/4+KTuy7AAlfeGuOlJi7Rp1zTS7x5rajP+BxL3SMg7r4IYpS7XUN4+fQSXbWqdvSejLNHHpJVu4yXX/zYFU1QDF9KH+DFvFguIpW/zGJ/5jTRWYEloteifKR1Sb1AFqqdBrameAzqPOpTb/+XqNf3o8vug/lRa84N1uHu1TaxF1Pq3v6pOBZjI6inb57ueTMO+no8tT2JH4E4+jGpYUn37rfdwNPIQMbBpsL4ljGojBFO88Hoo5V69pheIsdb3l1OztAO//X8+MEeZBBN/KE3GZM3bzSUzHHH5tGJI/awogadXmUmchtIKCnzEW3sz/5sUpwv59TBPa79/nPz9Ps8tDrx/cR1HZSANbmyegDfCz/0tx0fyvxl5/gaedwkUUsZoS6bOg20/AT4dZNQQnYTXfowXwXnA5hNc/+ruQLA97uUyjlvtSFy8cVvVhY5eAVC+IKtXzg+OHQKfbtB7FPJSJC68aTvTfZVQSz+N80q7h4AxEXrKNXIXuN6epm6aeG7OfE5OipOcoak3ScN/yING97UY5Nzkmu4cwcl2XRkPZQO+pB7isMobtON3PYjlmN5qBUP50i3aas7wMRsmp7zwO43xXLW0xVxn61diZ/xIQdD9ILs+TW/DSX891kJdyTZf505sGH5dRIPupoFbLv89eXXc1N4kHvOxqAkQKXlUD7v4LFHiNZZQkWRxHv5Kkns1wLX960wjzFFQnlJeHIMT/wu3YXF31GnBB1WBsEPVGqAGpdJTA04qiODu9vDf6tZY/vWlwJjsQcEjTq0U5b4RSdgacxkERSZzcgbXX08z+PUil01hJGvSUiIB+Hyl/2mmvRoTNYmfFXi85gKR3MzfmhaXCv4vGNFb8YbIBLtnNy/v4+EcGnU5cEL2qN3Odl9cOHuD944VKfNjAHe03QzqdsOLn8xN0+t8LAjrdSW+TJBk9X4PrDSPTAY749GI5tlhLYL8EzPROqjRE0JMlLBxN4+n92MDouCHrBKM4SaL7IM7ustTYacWnwT1atZ/h+H50v3vz3PI5XCI+f5hTzA3UQHiDDYTaOJgtuMcllDqKk8t6ihCy023HPUIZRB2Q6V2rDYn4yj5T8ZiC59eJUIOD/VtQY1v6gzoUHd8mcdA3GkaxvMZYvZtGMeeTnkyy4xGlxPxVNK81QANGUL04ILP2c1wG0SioRsb8d+A0XBg4oyuS+z4zGaXEpxvzjW8cPBwHqA59kUTyVUrMhwI1Fw1S5btZymhAmajMNzZQXSGVJwR+3pgcXPHpFlleP0p8cr989zLKq/FsdwBzmmzJP1A++HjvZ5kk6eZY6Fz1CidJs5fqLWnZTnNm8rzwi54ud2poBThVsXCf/MEwCcYycd1EsrMutQ1tQBi9eOD6A39YdfsE1saf3jRe8HOyoe/6dFmaJcKU7wCKnyyHaY5G8a8RzVhGo9CPKFF/ExSJ589RlEbNjgxr841vGnwylkFKF41GacNm7QQKfjPh3RsWkL1+dBY6yQHEz2z/N1CnXs2KhZ1uMT6992Li+Pq6u8bzFGhEHz2LJ3VIgf0w5RsGP0vdR9jpDUTAPy16cDSy80wMiU/PW+vjoXS6vbjHJwBYCJOU6J5GHRUNakfQBbt3D47asx6fAVVyBtsYn34LxD0aY9Z8Z7RsQDWfbjuWZwHroeLT9Vi9Fq2B4h4O9Wa2aBvttiNa1DDjMFk73T5M3GMnvbcvhbbz8ixqrI6pbtEaVNu4tdNbQHFm+fSWwFL3wPLpbcDG8rYEwz2snW4flO9xFduZRFqH5h7WemwBik9bz6V9VO2IZtWiPRD3OLJ8un3wHuXljaxOtw8bn94STJ8AK+nWoeYoopmBLVqGycuzdrp96LjHBjrSWPwe1Db+aD2XLeAFkraxvG2AuIdj7fQW8EIzr1qd3gJIp2E9vnX+9JbQu1btiDbfo23Me4E4dG07Yvt4UKNbPN+YVYvWUHAWxJG03KN9PPxkOevuVO+1rwrUhZZ4WFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWHwt7O39P0nYG35BjDbPAAAAAElFTkSuQmCC)
Maths-General
Maths-
The area bounded by y=cos x, y=x+1 and y=0 in the second quadrant is
![](data:image/png;base64,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)
The area bounded by y=cos x, y=x+1 and y=0 in the second quadrant is
![](data:image/png;base64,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)
Maths-General
physics-
A
joint is formed by two identical rods
and
each of mass
and length
in the
plane as shown. Its moment of inertia about axis coinciding with
is
![](data:image/png;base64,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)
A
joint is formed by two identical rods
and
each of mass
and length
in the
plane as shown. Its moment of inertia about axis coinciding with
is
![](data:image/png;base64,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)
physics-General
Maths-
The area bounded by the parabola
=4ay, x-axis and the straight-line y=2a is
The area bounded by the parabola
=4ay, x-axis and the straight-line y=2a is
Maths-General
physics-
Four balls each of radius 10 cm and mass 1 kg, 2kg, 3 kg and 4 kg are attached to the periphery of massless plate of radius 1 m. What is moment of inertia of the system about the centre of plate?
![](data:image/png;base64,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)
Four balls each of radius 10 cm and mass 1 kg, 2kg, 3 kg and 4 kg are attached to the periphery of massless plate of radius 1 m. What is moment of inertia of the system about the centre of plate?
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)
physics-General
physics-
For the given uniform square lamina
, whose centre is ![O](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA0AAAANCAYAAABy6+R8AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAKZJREFUeNpjYMAO9IB4LhC/BOJPQLwQiLUY8IBaIN4AxKZAzATFAUD8EIjNsWmoBuKZOAxzBOIL6IJqQHwDajIuAHKqILJADxDnMOAHu4HYFlngChDLE9D0GIj5YByQk74R0MACxB+QBdig7sUHQoF4MbIAyKZfBALhKLYg3wLEiTg0VOKKChVokMdD3Q8CBlAnzcTnbllo8nkHxK+BeCkQWzJQAwAA3MwcdfVeNCMAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPk88L21pPjwvbWF0aD67BA9SAAAAAElFTkSuQmCC)
![](data:image/png;base64,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)
For the given uniform square lamina
, whose centre is ![O](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA0AAAANCAYAAABy6+R8AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAKZJREFUeNpjYMAO9IB4LhC/BOJPQLwQiLUY8IBaIN4AxKZAzATFAUD8EIjNsWmoBuKZOAxzBOIL6IJqQHwDajIuAHKqILJADxDnMOAHu4HYFlngChDLE9D0GIj5YByQk74R0MACxB+QBdig7sUHQoF4MbIAyKZfBALhKLYg3wLEiTg0VOKKChVokMdD3Q8CBlAnzcTnbllo8nkHxK+BeCkQWzJQAwAA3MwcdfVeNCMAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPk88L21pPjwvbWF0aD67BA9SAAAAAElFTkSuQmCC)
![](data:image/png;base64,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)
physics-General
chemistry-
Which is correct about the change given below
![](data:image/png;base64,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)
Which is correct about the change given below
![](data:image/png;base64,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)
chemistry-General
chemistry-
Identify Z in the reaction 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)
Identify Z in the reaction ![](data:image/png;base64,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)
chemistry-General
chemistry-
X and Y are respectively
X and Y are respectively
chemistry-General
chemistry-
The product A is
The product A is
chemistry-General
chemistry-
Y is
Y is
chemistry-General