Maths-
General
Easy
Question
The value of integer n for which the function
has
as its period is
- 2
- 3
- 4
- 5
Hint:
In this question we have to find the value of n in the given function when its period is given. As by fundamental period of period T, f(x+T)=f(x) so using this we can convert f(x) into f(x+T) and later the option which satisfies the equation will be the required value of n.
The correct answer is: 2
![f left parenthesis x right parenthesis equals fraction numerator sin begin display style space end style n x over denominator sin begin display style space end style left parenthesis x divided by n right parenthesis end fraction](data:image/png;base64,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)
Given, period =![4 straight pi](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABYAAAANCAYAAACtpZ5jAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJFJREFUeNpjYMAOfID4PwOVAQ8QX6OFwTOBOJnaBlsD8V4oG5vBgkB8AYj/QOVxYRTABsSXgFgej8HGQNwKxCxY5H/gcm0HEOcg8QkFBVEG6wHxUQIayTL4JBCrUGjwH1yKiI4MHAYRnYrwKWTC4vVv0ARAkcGglPMFTew4ENcCsRYlBmcB8Q40MS+oq7sYaAkARl40q3evilQAAABudEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1uPjQ8L21uPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj4mI3gzQzA7PC9taT48L21hdGg+BSZToQAAAABJRU5ErkJggg==)
![s o comma space fraction numerator sin space n straight pi over denominator sin begin display style x over n end style end fraction equals fraction numerator sin open square brackets n open parentheses x plus 4 straight pi close parentheses close square brackets over denominator sin open parentheses begin display style fraction numerator x plus 4 straight pi over denominator n end fraction end style close parentheses end fraction
rightwards double arrow fraction numerator sin space n straight pi over denominator sin begin display style x over n end style end fraction equals fraction numerator sin open parentheses n x plus 4 n straight pi close parentheses over denominator sin open parentheses begin display style x over n end style plus begin display style fraction numerator 4 straight pi over denominator n end fraction end style close parentheses end fraction
f r o m space o p t i o n s space i t space i s space o n l y space t r u e space f o r space space n equals 2](data:image/png;base64,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Related Questions to study
Maths-
Maths-General
Maths-
Maths-General
physics-
The effective capacitance between points
and
shown in figure. Assuming
F and that outer capacitors are all
F is
![](data:image/png;base64,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)
The effective capacitance between points
and
shown in figure. Assuming
F and that outer capacitors are all
F is
![](data:image/png;base64,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)
physics-General
physics-
The four capacitors, each of 25
F are connected as shown in figure. The DC voltmeter reads 200 V. the change on each plate of capacitor is
![](data:image/png;base64,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)
The four capacitors, each of 25
F are connected as shown in figure. The DC voltmeter reads 200 V. the change on each plate of capacitor is
![](data:image/png;base64,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)
physics-General
physics-
For the circuit shown in figure the charge on 4
F capacitor is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAATQAAAEMCAYAAABKqEpfAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AACzASURBVHhe7Z15lBTV2YfzT87JPx4Tky+aeFBP1EhElE1kBwEFQWFAcAPEFRcUBEUBEVE2ARUEFAVZRNQAiqLIpoIsgrgAgojgxhoXjCwuRKK53zwvXdD0VPf0TE/XVFf/nnPumZnunpqe7qqn33vve9/7GyeEEBFBQhNCRAYJTQgRGSQ0IURkkNCEEJFBQhNCRAYJTQgRGSQ0IURkkNCEEJFBQhNCRAYJTWTM//73P/f999+7Tz75xK1bt879+OOPsXuK8uuvv7pPP/3Ubdiwwe3atcv997//jd0jROZIaCJjfvnlF5PZo48+6gYMGOC2bdsWu6coBw4ccJMnT3aDBw92ixcvdvv27YvdI0TmSGgiYxDa+vXr3f333+9uvvlm9/nnn8fuKQpCe+SRR9xtt93mXnrpJbd79+7YPUJkjoQmMgah0dW877773E033eQ+++yz2D1F8YTWvXt398ILL7h///vfsXuEyBwJTWRMvNCI0NIRGhGahCbKGglNZIyEJsKChCYyRkITYUFCExkjoYmwIKGJjCEP7cMPPzw0y5lKaOSdjR492vXo0cPNmjVLs5yiTJHQQgZyIPmUqIevudB+/vlnt3btWstBK05oPHbUqFE2yzlz5kxLrvU7ZrYbr6/XeM1FNJDQQsaOHTvckiVL3GuvvZYT7fXXX3fz589348ePd1dffbW75pprbCWAH3Q3N2/e7Hr16uUKCgrcvffea1HaokWLfI+d7TZ37lw3Z84c98UXX9hzE7mPhBYyFi5c6Lp27ep69uzp7r77btevX79Qt3vuucf17dvXdenSxTVp0sR16NAhqdBYFYC8rrjiClejRg3Xrl07d/vtt7v+/fv7Hjubjb9JlHjllVe66dOnu3/961+xZylyGQktZEyYMMHVqlXLBDFw4EA3dOjQULcHHnjAljEhh+bNm7tOnTolFRrrPZctW+Y6d+7sateu7Tp27GhiGTZsmO+xs9lGjBhhz7lRo0b2HN577z11PSOAhBYyxo0b5xo3buymTJliA+100cLcWMO5ceNG67ohCEScbAyN8aqvv/7aJg+IjMaOHeveffddE6DfsbPZtmzZ4l5++WWLKJmdXbVqlYQWASS0kPH444+7Vq1a2cJtBJArUD2DiLK4SQH+pzFjxtgsJ2s59+zZE7snePjAoHtPlIlYJbTcR0ILGQjtoosussH2//znP7Fbww2zhrmYh/bBBx/Y85XQooOEFjJyUWhEXRKaCAMSWsiQ0IJDQoseElrIkNCCQ0KLHhJayJDQgkNCix4SWsiQ0IJDQoseElrIyFWhkYtGwuqtt95abAlu8s/uuOMO98orr5Tr4nQJLXpIaCEjF4VG2gZLh1588UVb6fDVV1/F7ikK1TbmzZvnpk6d6t5//333ww8/xO4JHgktekhoISMXhQaIirWa3333Xcqt6ZAGS6BIqN2/f7/JsLyQ0KKHhBYyclVouYiEFj0ktJAhoQWHhBY9JLSQIaEFh4QWPSS0kCGhBYeEFj0ktJAhoQWHhBY9JLSQIaEFh4QWPSS0kCGhBYeEFj0ktJAhoQWHhBY9JLSQIaEFh4QWPSS0kCGhBYeEFj0ktJAhoQWHhBY9JLSQIaEFh4QWPSS0kBGE0Fg8TomfBQsWWNmfn376KXZPtvmf+/XXH92aNe+65557zsoIPfzww75t5MiR7oknnnCrV692P/74Y1ZkI6FFDwktZGRbaFy0X3zxhRs1apRr3bq17f+5a9eu2L0HKe7CRoiUC9q2bZsVaIyvmMHvUhIIYXI/tdIO86s7cOBLN2LEQFe1ajV33HHHub///e+ucuXKR7QzzjjDnXnmmbYJ8LRp06yCh4Qm0kFCCxnZFhoFFYmMqlat6ipVqmRRULzQ0rmoeTzHYMf0uXPnup9//jl2j7PvqV571113uSFDhlhJocMgtH8V/l4/V6dOXde+fXurocb+mH6N6PHbb79NWY4oEyS06CGhhYxsCY1jrV271vXt29edfvrp7re//a075ZRT3Pjx40skNHY5pzgju59PnjzZxONFYXv37nUrVqxwDz30kJXjfvXVV63m2WEOCm3IkHvcuec2drfccovtvF5eSGjRQ0ILGdkQGmNQb7/9tkVNNWrUcKeddpp19ejalVRojLvdcMMNbvjw4SaE+Mdv377dPfnkk65Dhw5u+vTpVm77SA4LrVGjc92NN95oQiwvJLToIaGFjGwIjTGzYcOGFXbz6rjevXu7GTNmuHvvvdfVrl3bPfbYYyUSGuWzr776ajveRx99FLv1IAiNLixdyeeffz52azxHCu2mm24qcowgkdCih4QWMrIhNEpeEwm99tpr7uOPP7b24IMPurp165ZYaHQjERoRGmNc8TAJwPNHaOzoVJSiEdr69evtb/q1bCOhRQ8JLWRkawwtHsTDRUzElq7QGJhne7pJkya5Pn36uH/+8592HOB3GLxftmyZjZ/169fPxtKKclBoQ4feW9j1PdvVrFnTdokaNGjQEY3JBMbptm7d6tNtLTsktOghoYWMbAuNi3bLli0lFhrjcE8//bTJauLEiRbxcRvwO8iBmc/+/fvbOBuCK8phoVWufKY7/vjjXfXq1V3Dhg2PaI0bN3bdunVza9asSZhUKFsktOghoYWMsAqNGcyBAwdaN5H9NL3cMCI3urRIjL02e/To4TZs2JDkOF6Xs7+rV6++u+SSSw6lbdD19Bo/k8dGPls2d4WS0KJHJIXGRZZuV4ULhseH5WQOs9CIzq677jqTF6sLkBpR1OzZs012BQUF7uKLL7afua8oh8fQSNvo2rWr27x5c+y+4JHQokckhcYFy3gOg99ED6kgGnjppZdSbo4bJGEUGnlmiIfxLgb86XKSPPvmm2+6Rx991PXs2dO1bdvWsvwrVqxo+WXvvfde7LfjKTopwOtfXkho0SOSQkMGRBNPPfWUXbyp4OJs2bJlkgsweMIotG+++cbGzy688ELXoEEDE5u35pIEW/LbyD1judIf//hHGwMjvaMoEprILpEUGhfTbbfd5saNG2czc6kYM2aMO+ecc9zKlStjt5QvYRQaKwwuu+wyV61aNRMaz4/xLyYASOMgeuM1J1JDZnRLly9fHvvteCQ0kV0iKTTWFyI0LlaW6qQCodWqVUtCi5F4UTMWyXNp06aNrRCYMGGCJc3S3nrrrUNdddaIvv/++27OnDlu6dKl7ssvv7Tbj0RCE9lFQstDobFygFwv8sBItUgmNCZMuOipzEEXfv78+QmLzUsKQtvpBg3qa7Oc119/vc1qlhcSWvSQ0PJQaCTEIqnmzZtbomx8zlj8Rc1kAONkjDHStWSmM7OLHqF9WXjMoa5Vq9bu9ttvL7LaIEgktOghoeWZ0ICEWKpcMM5FtBZf/idRaEOHDnXnn3++zWjGP650UOBxv9u8+ePC7uoKE0pmEV9mSGjRQ0LLQ6GlIv6ipsvJ8+B13LRpk42nRQkJLXpEUmgkfpKxzixncUIjj4qqE++8807slvKFcj5hERoQlRHRZavIYnmC0EjuZaE9pb5F7pNSaHQ5yAhnCQonda40ltOQK8WAdyqhEXEwRsTg+OLFi23doN/xgmyPPPKI5XuFRWhRBqFRwohVDszMkoTt957kY+Oa53rwinfmCkmFxsXOgC1S4A1nVizsjfEevnbu3NldcMEF9j1dJT8QNdIgn6pChQqWQjBixIgjjhdko9vDV+r8U0ufKDObC7OTkU9CIyojv46ImK4nr793DuV7o+IwFU9YU5v52GlwJBXanj17bE0ebzbLWgjNedPD3LznyKwcVRsQMcuf/ODTmFwqZvqOPfZY+x+J6hKPGVTznjuJq/Xq1Tu0XjJo8klo5M2x9pQPEL7Gvw/52vj/+XBnIuiaa66x87A8J25KSlKhkRjJ0iG6Pxh7yZIl1i1btGhRaJv3/PiUZSkOW6Elq1lPKM19jLVRY59IlPWficcMqnnPnefTrFkzK8ZYXl3OfJEaC+uvuuoq63Yy8RH/PuRrYzYbiVG+iUKezzzzjO3slSskFRrblCG0Sy+91CIZuj/0q4lswtro+/N11qxZtkCaAf/ixtCo3MoY2htvvGGhdeIxg2recy/vMbR8gjE0ohHWo3pjaGE/x7Pd6BUgMMaWuYaeffbZaAntiiuusDSIXIJ1hUQ66aRtEJmRtsEmImGAmvzlOcuZT3hpG+yPEJbiBGGAD3quHVKfqEwcOaGRJZ5LKA9NpIPy0PzhvKN3I6GFBAlNpIOE5o+EFjIkNJEOEpo/ElrIkNBEOkho/khoIUNCE+kgofkjoYUMCU2kg4Tmj4QWMkoqtHwqwS0OI6H5I6GFDC8PjZyu4vYU4I2rW7duaPLQJLTgkND8kdBCxooVK2zZE9vT8X+kYubMmVYKujxr28cjoQWHhOaPhBYyWFhPmWm2XyuuUsDXX39tVUVY8hIGJLTgkND8kdBEmSGhBYeE5o+EJsoMCS04JDR/JDRRZkhowSGh+SOhiTJDQgsOCc0fCU2UGRJacEho/khoAcLWamyMyyzmV199FbndiCS04JDQ/JHQAoQXl4ueEsGjR4+21IySgBBpfnA7pbn9TmxuQ55U7qWqp7czTnzzbuN+iuSV5gKR0IJDQvNHQgsIZEHN81atWrnKlSu7nj17up07d8buTQ2yIj+NXWzYLdwvstu6dattqsKmEIkn9969e+1v33vvvbaZCnXoExvlnPnKjjksv6KkcUmR0IJDQvNHQgsATrYNGza4Xr16ueOPP96deOKJ7q677rLnWRzIbPfu3XbSsjIA2RBNeRCVEemxdwKbQiC2ROGxaQx11k8++WR36qmnusaNG7uCggLXpk0b+xrfqMU+Y8YMk2BJkdCCQ0LzR0LLMpxojJc9/fTTtuXY0Ucf7U477bS0hYZY2LKMtZ3svclGxPFC27Vrl23ZN2DAAFvQzvpPP6Hxu2eddZZdBGyqwt/mdr7GN+RIdJasa5sKCS04JDR/JLQswws8Z84ce4FZd8k2b02bNnW9e/dOq8tJF3PixImue/fu9j8hx/gdodlwlm3v7rnnHrd+/Xrr2iae3IiLHaKqV6/u+vTpY9FiNpDQgkNC80dCyyK8uG+99ZZ1Nbt06eKmTZvm7rjjDtthPF2hsVaTnX3Yg5EF64mwhVmdOnUsQmOczY94oREZcjFkAwktOCQ0fyS0LEGXjeiqX79+rn379iaUdevW2Y7oXPTpCo2BfrqL7ARNdzMRNhhmt3KExlibH4rQooeE5o+EliW+++4798ILL7gWLVrYQDvdQcTCxrDpCo2xMHbIRmikejAh4MEJzFja/PnzrRvLY4qL0KpVq2YRIvs4UskjsZGuUZqxMw8JLTgkNH8ktCzAGNeSJUtsO/rOnTsf2r2dFxehsbt4cUJDZtRGYzfywYMHu4ULF5qYPJgsYNaTk3r8+PFu06ZNJiQ/+D1qrJ1yyik2y9mwYUMTDykkfG3ZsqVr166du/vuu92qVatKfXFIaMEhofkjoWWBzZs327gX0Rmzk9QtA2YPkRMiQR6pEmuJmJ577jmL7pAg/1M8RIDcXr9+fZsYSIUnNGTGDCtpG6RstG3b1r4ypnf55Zdbnto777xT6ihNQgsOCc0fCa2MQURTpkyxKIy8LnLDPvroIxsLo/Y/ia2kbzDjuXz5Mvftnn1u/y+FXcjY73sQbRGB8cYw7uZFcyTOkmvGSUxybu3atW2ygNnNZCLy63LyxvNc+ep9ry5n7iCh+SOhlSGcVEROgwYNskjohBNOcFWrVrUoioH7mjVr2m3HHHOMq1ChgmvSpIkbOfUlt3FPYRczwSN0Ub0IjciJCQbWgb788suW0X/xxRe7KlWquD/96U8WCSK1+Py0eDyhaVIgOkho/khoZYy3xIkdmeh2Ije6hkRZjJvR3UN2DRo0cP3793cLVqxxO39y7pe48xExMX52++23WzRHtDd06FBLnOUraSAsVSI6+81vfuOOOuoo+1tK28gfJDR/JLQA4cX10jaIlBLHxTwQEJMBzZs3dzVq1HDnn3++jXHRXR07dqx1XclvQ5R0IxEVEwPJlitJaKlBBkzC0O0ursvtddPLGwnNHwktQLyBfGYVidYQTSLMkJJMS15Zx44dbcyLlQIsnZo1a5aNfzG5QBTHkijG6yZPnuzWrl2b9EKT0FJDhRG69Ix18n0ykB1Ly3h/iIbjV2wEjYTmj4QWIIyBUc0CoSEWv7QNBvzJX6OrSjRG+gf/DzOlrNuMr4KB1LidxvfJTmoJLTlIiSomkyZNcsOHD3c7duyI3VMUJk24SJgxZoUGEzTlhYTmj4QWIEiHheFTp051CxYs8O0iMv5GSgcColtZmqoXifB6cOJXqlTJZkZJ1s0GuSo05MDEyw033JByt3qEhszo+jMDXZ4Xi4Tmj4QWMHRbuIiSjdXwfFkVQP4akUNZQGRI+siVV15pUd8nn3wSu6dsyVWhsSSNyJnZ41S71SM0xja5WIiiJbTwIaGFDBJbkRlLmryE3EzhoiXS43VhHI+B7WyQ60JDEBJabiOhhQwWmG/ZssVklitS8JDQgkNC80dCE2WGhBYcEpo/EpooMyS04JDQ/JHQRJkhoQWHhOaPhBYSOCGz0YJEQgsOCc0fCS0kJIqorFqQIDRKIy1evNhEkSuwQoAlacUJjf+JNbrk8lEMoCxyBEsLBQYoXMAaXgntMBKaKDPGjRtn1XOJXsi4Z2VDmBv5eWw6Q9Y/KyhY8J9MaAgDgSEQ9odgyRn5fFwwfsfOZiP1hgRsyrKzokRCO4yEJsoMTiRWI7CQ/s4777QF+GFuffv2tTW11157rVVB6dSpU9KVAiw5Yxka5xQloSjf1KNHD1vV4XfsbDZ2+EJm55xzjj3/TKoMRw0JTZQZJAMTvXTt2tVKH4W9sfCf7iNl0inTRDGA4oSGrNnflK41/yfH8Dt2Nht/k1UNPO9nn33Wbd++PfYshYQmygwWwdP9obzR22+/HfpGZMN6WZaFsY6TKsLJupwsVeO8YhevSy65xOrSsc8DKzv8jp3tRjeZdcFltZokKkhoosxg0JwTikbF3bA3nicFOSnDRDeuuLWcPP7hhx+2wXguFs4zZj79jp3tRpkjih0UV78t35DQRF7D2BNbDFKnrrhZTopAjh492sbOqE3H4LwIFxKayGtyNQ9N+COhibxGQosWEloZQdeF8QyaptBzBwktWkhoGcJ0PlnjJDh6eUJsJsx2c4klmhFdcS2RVPcnu12kj4QWLSS0UsKFwJ4AyKx9+/a2OxO5TA0bNnRnn3225SvNnj3bnguPhXgB+TXgomH2ipksfi/+fn6mOCMzczwu/j5ROnhNWRdJCW5WChRXgnvUqFFWUfj555+X0EKIhFYKEAjLZtiJic2C2SH9ySeftJ2D+IRnSzluu+CCC2yzYF7UdMTD/Tx3dnDiWIgtHqJBjk+u1zfffBO71eN/hbLbb3+L3CRywpI1lvuwaxGzdvkuQ4TGukgWeZNky+ueDITG8i6WSRGBa5YzfEhopQAJcBGw7IV9MdnQJD5bm52bSLxkaQrb0bHtWToy4wJh8xS6NXPnzj2UNMl9RGwcB0GOGDHCoorDcOyfCm9b6u688w536aWXujZt2iRtZMTzN3jO+Z7HxP+P4Hnd2fiED6pkID8W3tPd/PDDD1NueSfKBwmtFCAYymSTi4QYyGOKFxYnPvede+659qmfzuJhorE5c+a4IUOG2DHJYKccNxAZfPzxx7b/Jl0jdo3i7x+GY3/v5s9/ylWvXsWdeOJJtjkxY0IkiyY28qg4FtFacc8r7NDtnzdvnlXBIMqKb7yW7GnKhw8fCH7w/3MRIDUEz/fc5id6buc127Ztmy1U530W4UJCKyWc8IiGFzDx5Ofvk4BZt25di+IShecHkQETCgiHJTVcMN7vIDsuWsZuWMvHRXUkB4U2b95ThX+zlmvRoqWbMWPGoWxyxtziG7f5Pe9cg9eH9aOXXXaZO+OMM1yVKlXsNfcaETILzr3XMxkch8brweOYJKCkEO9vIps3b7bomOiZLrsHv8vrygfN6tWrbUkUjeVViY0POD6giMiLOy9EyZDQyghOTE5woipKyzRv3tzVqlXLxtP49C/uxKUsDIuOWdy9aNEiuzg8+J7ojYiL6Kro2I0ntKmuXr3arnXrgsD+7/IEYXPyNmjQwPbKZIKGDw/GIGnsP4o4eE/SiaY4HjvTU8GCTYfjZ6l5//gwIHpmPSdrKeM3fWayhiEBKnhUrlzZGoKlMkd8Y2E7omUCgkKYivLKFgmtjOBkZgaM8SlOXLqbjz32mO2t6UVCqaRGZNCrVy8rZfPaa6/ZxePBxUIkQvTGhYv8juRIobVq1doGraMMrykTI4xR8sHB1n98cJQWpEeNMVJuGP+kskb8dn90R3l/+XtMBjE5E38/FxJrQlm4fswxx9geqIx1UvSS8yC+8SHH+8OMqiK0skVCKyOIDBi34YRu2bKlVW/gIlu+fLnPjOSRMOPIYDOf/ByDyMIb8yFq2LRpk415sYCaC6Ro9+lIoRUUtLEuapQhsmFGkqgWoTFQHx8xlRSEhWjovjI5kNgdJ3JjXBLZ8X4kRlZcSHQ1mZCpWLGidfkT8xBF9pHQygguAMZcEBED1cisdu3aNqtIVyh+vCURPtmJzPhER2bxFyZjMpMmTbI3iMiA6CzxYosXGmNozZtfcOixyDS+8QYjyaLHyC14rb26+nXq1DGhMVjv/Z+MSdJVTzcC4nf5sGjXrp0dKxHGw8gzRGhEVomvnyc0hIjQmI1WWkfwSGhZgjEcZji52IisuGCSjZcsW7bMtWjRwkrT8Lj4i4VogNuvu+46mzn156DQFi6c5mrWrO7+7//+7E477TQbGEeqXuNnKq1yseV69MAHB/XA+CAgdeaqq65yrVu3tvEp/ldyAJmY4VxIR95EaKmExkA+QmPmVEILLxJaKeBTnzEzIi9WA3AxJEJ0RDexfv36FkUwOJ0sSkNo1OJnjIbZMy5WZtnIjRo5cqSNy1Eimo08+LtFZ98OCm3BgmmFF3QNd+qpf7fdl3hTad27d7fGhAJlcujeEqXlMowxTps2zRKbTz75ZHuNSXjl/2XAnTFMXlMExHDAz4Unuh+IifeKiRgiZJZAMRMZDwJjoocKtXQl/SZ54oX2j3/8wx6XSRdYlA4JrRRwETDrSEoApZgZxE+MvjjpJ0yYYEuhEAmTA34RGif99OnTTXzMkJF/RjTA7/J7RB1MMhx33HEWIZCpXjS6OtzlPDgpUOBeeeWVg3dFFLqTRKyUoSaqIhHZG1vkA4HS1Ix5Va9e3T1SGKl9URj5+nU++ZChy//QQw9Zig1i8/L/PMj7I0Kmsi1y46JJxBMa59wJJ5xgx+IDj4kGjuk1xlT5cJPssoOEVgoQGmMq5IVxwSCZxBk2Tm5mJelyMnPGuI7feA5T98yI0U2hm8QbQfIsaQMki/I9Ujv22GPd6aefbj+nk7aBcKMM7wFiZ7ySCJmILf715fXmxD7/vPNcx8IPnrkrVrjD88aHIdolYiW6Y4IBYQEfPlwcRLL9+/d3TZs2tYg5WTfSExofcr/73e/cSSedZCkarOtlnS+NrrEXNbJjlCh7JLRSwIVDN4VZMU5UZraIiLxxFQakGY/hPmY9kYs3a5kIkQERGGNo7ORDWgapAcy0MehN94cJBqRHlMD/VfTTPTFCi37aRnHwHvG6tykocI0Ku6UTCyO4xGQXIPWCCJvxThpjmIBweA1ZhE4EyIcJM9CMjSK5ZF3ODh06uL/85S82y80HEl1Vhh5orFrgIltRKFeNr2UHCa2UIC/GZhiTottJ14eoigF8PtGRD4Kim8IelYnwwtMNJYmTNA8EyAXERUjXhDwnHoMI+d7rstBdSTaGli9CI3pitQSvFY2oKvE1QTjk7jEJck5hlDxm9mzH+op4DfEeMmbJWBzvHx8ayI11mlwMbMXH2CMTDb///e9tsiHZkjFPaPFjaErbCB4JLQO4sOjyMJvWtm1by4fipGfcjO4LuUtEU17kFn8R8HtknXPRMF5GegbyImLg4vR+B/ie22h+43D5JjReI9Jb6N7RHScKIpcvEd77iwvfFyK0SYURWuKpzXtDAi3LyVhtcF5h95RcQKJmojFSNOgeMsFCsuyf//xnu43iA6mEplnO8kNCyxBObMbP+FT31u8hMqIvXtx4vIuAr3RdmAggQkNuqfLUiie/hMbrxwcAHxrMZjJ5klj2h0kDIi/yAK8tjJaXrlzpEpM3eN05+Rm7JAojmiP9g9lMykERGfMYPnAQJ5E0EwTFzXIiNCYlculiigoSWoDEC40Io169evaJn5nMgOPuK+x+TXI1alR1zZo1dy+++OLBuyIK0RX/I6JhrJKTN76LR9eRHDWGA+j2fxMrxeTBa86H0LBhw2xogHFLuqgsZCe/jfw/DyIyJg64HcmlGkOT0MoXCS1A4i8CxtXIMWPmLHOhwf7CC2qx69PnLusmESlGGbreDODzGlIIgMiK7xm7ogvK3pnIha4j0VuigBh3I12GGWhWYiC3TJDQwoGEFiDxFxXjYrz4ZSOzg/zyy38teti//6cyPW5Y4fXkhCW5mQTbE0880VWoUMESbekecg4wjpUoM2AygVlNVnFQLihTPKEx480qDQmtfJDQAsTvwhKZQyIs45bMApPXR/cQuZCLlgzGGBEaKwPiu5elhQuJBF1SPBAq43epqt+K7CChBYiEFh6QGBVJkGAq8aULETETCIzXeUUG4mvaiWCQ0AJEQosuem/DgYQWIDrpo4ve23AgoQlRBkho4UBCE6IMkNDCgYQWMsiv8pY/FXeRMBDNcqn4ZVKifJDQwoGEFjJ4A9gqjaTR4mbJKJtD7bRUW7QJkU9IaCGDfCrWDpL4yf+RCi+XigocQggJLXRQeZWSNbwpXrHBZFDlg0XVK1eujN0iRH4joYUMnq+EJkTpkNBCBhEabwYb0hYnNCqiUoNNQhPiIBJayJDQhCg9ElrIkNCEKD0SWsiQ0IQoPRJayJDQhCg9kRYaO45TUjmX8LZUY6/P4oSG9NiUhdw1IcRB2PaRa4iKxJEQGnWpKKtcUFBgF/2GDRusxHIuNERGjftRo0Yl3YyWpU5spUa1VTazpQbXxo0bfY+nppYvjeucwp7sWn/99dfnXJHNpEJj2dDYsWPdmWeeaRvENmrUyLaWy4VWqVIl23iYvT2RlB8sdaK7yeOOPvpoV6VKFdv9yO94amr50rjO2Y7wb3/7m/1MMFMWxTuDIqnQ2ICEsJN/jm4nm4YMGjQo1I3NOvjKXpNs+sFuUMlKQ7NvAF1Tyj1TQ79Lly62GUjiMdXU8qlxnbN7F/tJ0Dtjp/pIRGjxkwKsifSgIkJYm/f8SjMpsGLFCvs58ZhqavnUgOoz9M4iOSnQoUMHqxufS7A3JBvnpiM03jgmBVatWhW7RYj8hpJajENzDSltIwQobUOI0qM8tJAhoQlReiS0kCGhCVF6JLSQIaEJUXoktJAhoQlReiS0kMHz7datm70pyVYKeFDgsWbNmofSNoTIdyS0kMHa0969e9vSrS+++CJ2qz/jx493TZs2tY1ShBASWuhYs2aNe/rpp93SpUuLzXJ+/fXXLUO6uK6pEPmChBYyeAMQFGvQ2J8zFSxQX7dundu3b1/sFiHyGwktx/GWfAghJDQhRISQ0IQQkUFCE0JEBglNCBEZJDQhRGSQ0IQQkUFCE0JEBglNCBEZJDQhRGSQ0IQQkUFCE0JEBglNCBEZJDQhRGSQ0IQQkUFCE5Hg119/tYKYO3futPpwbDgr8g8JTeQ8yGz37t1u8ODBrlOnTm7mzJlWIFPkHxKayHkQ2q5du9yNN95om8aMGzfOIjWRf0hoIhLs3bvXTuKGDRvaBjMITuQfEprIOYjIfvrpJ9tTYevWrbY71tq1a93VV1/tzjnnHDds2DDbCWv79u3W6H7u37+/SLlyfmasjWNxIYjcR0ITOccPP/zgVq1a5Xr06OGaNWvmLrjgAnfeeee5k046yf3hD39wlStXdk2aNHEtWrRw7du3dwMGDLDdtH755ZfYEQ7CJjRbtmxxS5YscevXr9f+DBFAQhM5BxHVhx9+6EaNGuW6d+9uJy/jZ1WrVnXHH3+8ye3666834fXp08dNmDDBbd682SK7eJhIYB/U4cOHu9mzZxe5X+QeEprISZAP3cUDBw7YSUz385ZbbnH169d3jz/+uHVFuY/G4/yiL35nypQpdvJPnTq1SASXDB7HGN17773nFi1aZPujem316tXu66+/TvtYomyR0EQk2LNnj0VrDRo0cBMnTjSpFAdCYwKhW7duJRLajz/+6JYvX+6uvfZaG7OrUaOGq169urWuXbu6N954w8bsRPBIaCLn8dI2br75Zle7dm2L0NJJ20BokydPNhGWRGhEfDt27HDz5s2zXe4514j0aHRhGZdThFY+SGgi56E7+f3337vnnnvOZjiXLl1qEVtxlFZoIrxIaCISeCkYzFwipnRmLFMJjd8n8kvnOCI8SGgib0klNMbAuBgQpMgdJDSRt6QSGt3WQYMGuU2bNsVuEbmAhCbyllRCY2LhrLPOcosXL47dInKBSAutQ4cONhMlhB+kdnCecPInCm38+PGWjrFs2bLYLSIXYByV4gQkVStCE3lFqgiN1QUIjWVRIneIbIT25JNPurp167qOHTu6Bx54wA0dOtQNGTJETc0a6R0si2rXrp1r2bKle+KJJ44QGqI7+eSTLXmWpVE6f8LfuM7vv/9+W9tbUFDgpk2bFg2hfffdd7Y2j5O1Tp06lj2uphbfKDNEln/FihWthtqYMWOOEBoR/l//+ldXqVIld+655/oeQy2crVatWvZBNH/+fKtenCskFRr9aKTGguR169a5Dz74QE3tiEZ1DZYoDRw40MoOEZHFC43lU2eeeaZ9ZSG83zHUwtm45j/77DNLro5/T8NOUqEJkQ50R1i6xACy3xja2Wef7VasWBG7RYjsIqGJjNCkgAgTEprIiFRCI22D6hkSmggKCU1kRCqhMUvOZAErBoQIAglNZEQqoVG8kdUC7FcgRBBIaCIjUgmNmXJKfcffJkQ2kdBERqQSGqh0kAgSCU1kRHFCEyJIJDSREQiNxNlbb73VVgZIaKI8kdBERrAB8cyZM90999xjX7WNnShPJDSREezexBKol156yb3zzjsSmihXJDSREQiMzVWozsLaXyHKEwlNCBEZJDQhRGSQ0IQQkUFCE0JEBglNCBEZJDQhRGSQ0IQQkUFCy0Mom7169WorvEj+WLIF5CxjImmWEttsa8YmKJQDeuWVV9y3334be1Ry9u7d695//333zDPP2GbD/N1Ui9XJaeMx7FPA9mmffPKJ279/f+xeIYpHQsszEAQ7+bD2kl19KL7ot/6SvRnZ2GTAgAG2sxOVZynWWKVKFXfhhRe6559/3jYZTsWOHTtsw9rKlSvbhtXLly+3kkLJ4Lmx/8Cll15qpbtZfcAmHUKki4SWJxAZ/fDDD7Y8qUuXLu6UU05xbdq0sSgtUWj8zG5fd9xxh2vRooXr1auXW7hwoXv33XdtITpyQmrs2cjSp2QgqDfffNM1bdrUtkYbO3asPYdk7N692/b2ZHu8Zs2a2XM9cOBA7F4hikdCyxN27txpZX7YCZ+9Mo866igT2rJly4oIjSVMRGBIpXPnzm7lypWHuoosRp80aZKrXbu27azNlmepoq6tW7fajlDs83jTTTdZdY5kbNmyxXXr1s01b97cDR482H311Vexe4RIDwktD/j888+t60e0xYa/1apVc6effrq75JJLfLucGzdutB3RiazYSTux27d27Vp38cUXmxCnTJmSMupiHI0xNORIQ6B+UR23LVq0yCI/IkAiQo2fiZIioUUcIisG8dkIuHXr1lazjAH+9u3bu44dO1qXMFFoSOeyyy5zLVu2tI1OKKMdz6effupuvvlm16RJE9evX7+UEwR0GRnc79q1q+3R+fDDD/vuMcBtI0eOdHXr1rWuLn9DlTtESZHQ8gBmMpnVXLNmjXUZX3zxRZNZMqFxW7t27UxqdD0T72ewn/pndA3vvPNOt2vXrtg9/lCNY9SoUa5Ro0aHurDxIF1uu/HGG026RH2JEhUiHSS0PAN5IDS6dX5C4/tXX33VnXfeeTbbOHv27EPjZx6MbQ0cONAExQQDgksFxyRKZPyOsTRSMuK7k3Q3p0+fbl3inj17ulWrVsXuEaJkSGh5BnJJJbSff/7ZzZgxw9Im2rZt615++WVfod1///2WykHXlTG6xMck8vHHH7v77rvPVaxY0Q0fPtxt3749ds/BiG/EiBHW3STXjYhSiNIgoeUZ6QiNbibjXQz6pxIa0iOKY/yrOKGR10aURk7bLbfcYvlm/A7jZG+//bZtsnL++edb7pm6m6K0SGh5RnFCQzALFiyw7t/ll1+etMuJ0Bo3bmyD/elGVKR48DeZXSWFBHExgzp69GiTJzOrJPMWJ0chkiGh5RnFCQ24jUkBxMPYVmJyK93Fvn37uosuushWEpAQmw7kwj344IOWvtG7d2/7mRQRZky5ja6uyniLTJDQ8ox0hPbWW2/Z/cxikrmf2AXctGmTTQYUFBTYmFe6XURmO/l7rVq1sgkC1ncSAfI9XVcmA+iaClFaJLQ8Ix2hkQPGLCZ5ZnQt4/PM6JKyJMmTEsdi3C0d+F26p3fdddehLiY5Z0ws8D0rBdTdFJkgoeUZ6QiN7P65c+daYi3dTsbUvG7ntm3bLKeMSQO6jaz5TPz9VBCBkdzbqVMnG4OrV6+eu+6669ysWbPcvn37Yo8SonRIaHkG8nnhhRdMVHTzWG6UKCQiKcQ1dOhQ61Zec801bsKECbaRMBEb6RzIkFlLorOSRFUcm5JCyJAF8hUqVLDxOFYTlESMQvghoeUZSGPevHlWPohGhr6fSFhw7kVjVL8g54xGqgYrCKhZVtqIigiQGmtU4ODYLK/iNiEyRULLM4imqGNG4UYas4rJIixuR2p0S+mCzpkzx2qpUUaIAf7SQpTGDCf10ZiAYNZU0ZkoCyQ0IURkkNCEEJFBQhNCRAYJTQgRGSQ0IUSJYAKHiZ0wIqEJIdIGmbFPRFhLPEloQoi0IV+QMupTp06N3RIuJDQhRFqQbE15JyoVUyEljEhoQoi0YJkb+1KwUoQlcGFEQhNCRAYJTQgRGSQ0IURkkNCEEJFBQhNCRAYJTQgRGSQ0IURkkNCEEJFBQhNCRAYJTQgRGSQ0IURkkNCEEJFBQhNCRATn/h/affTBhTat4QAAAABJRU5ErkJggg==)
For the circuit shown in figure the charge on 4
F capacitor is
![](data:image/png;base64,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)
physics-General
Maths-
The minimum and maximum values of
are
The minimum and maximum values of
are
Maths-General
physics-
Figure shows a network of eight resistors, each equal to 2
, connected to a 3V battery of negligible internal resistance. The current
in the circuit is
![](data:image/png;base64,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)
Figure shows a network of eight resistors, each equal to 2
, connected to a 3V battery of negligible internal resistance. The current
in the circuit is
![](data:image/png;base64,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)
physics-General
physics-
The equivalent resistance between
in the given circuit is
![](data:image/png;base64,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)
The equivalent resistance between
in the given circuit is
![](data:image/png;base64,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)
physics-General
chemistry-
Which of the following is/are the rate determining step(s) of the given reaction?
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)
Which of the following is/are the rate determining step(s) of the given reaction?
![](data:image/png;base64,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)
chemistry-General
Maths-
Maximum value of ![fraction numerator 1 over denominator square root of 7 sin space x plus square root of 29 cos space x plus 7 end fraction](data:image/png;base64,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)
Maximum value of ![fraction numerator 1 over denominator square root of 7 sin space x plus square root of 29 cos space x plus 7 end fraction](data:image/png;base64,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)
Maths-General
Maths-
The minimum and maximum values of
are
The minimum and maximum values of
are
Maths-General
chemistry-
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/487150/1/939414/Picture72.png)
(A) and(C) are different compound s and rotate the plane-polarised light in the same direction, andboth are dextrorotatory. Both (A) and(C) do not show diastereomers, whichof the following statements are correct?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/487150/1/939414/Picture72.png)
(A) and(C) are different compound s and rotate the plane-polarised light in the same direction, andboth are dextrorotatory. Both (A) and(C) do not show diastereomers, whichof the following statements are correct?
chemistry-General
chemistry-
Which of the following dienes and dienophiles could be used to synthesise the following compound (A) ?
![](data:image/png;base64,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)
Which of the following dienes and dienophiles could be used to synthesise the following compound (A) ?
![](data:image/png;base64,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)
chemistry-General
Maths-
16 sin ![x cos space x cos space 2 x cos space 4 x cos space 8 x element of](data:image/png;base64,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)
16 sin ![x cos space x cos space 2 x cos space 4 x cos space 8 x element of](data:image/png;base64,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)
Maths-General
physics-
Five conductors are meeting at a point x as shown in the figure. What is the value of current in fifth conductor?
![](data:image/png;base64,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)
Five conductors are meeting at a point x as shown in the figure. What is the value of current in fifth conductor?
![](data:image/png;base64,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)
physics-General