Day 507: MHT-CET Maths

1. A.
   $\frac{1}{2}$
2. B.
   $-\frac{1}{2}$
3. C.
   $\frac{3}{2}$
4. D.
   $-\frac{3}{2}$

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1. A.
   $\dfrac{-13}{216}$
2. B.
   $\dfrac{13}{216}$
3. C.
   $\dfrac{15}{216}$
4. D.
   $\dfrac{-15}{216}$

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1. A.
   $a\theta\tan^2\theta - a\tan\theta - a\theta + c$ $\left(\text{where } \theta = \tan^{-1}\left(\sqrt{\dfrac{x}{a}}\right)\right)$ and c is the constant of integration
2. B.
   $a\theta\tan^2\theta - a\tan\theta + a\theta + c$ $\left(\text{where } \theta = \tan^{-1}\left(\sqrt{\dfrac{x}{a}}\right)\right)$ and c is the constant of integration
3. C.
   $a\theta\tan^2\theta + a\tan\theta - a\theta + c$ $\left(\text{where } \theta = \tan^{-1}\left(\sqrt{\dfrac{x}{a}}\right)\right)$ and c is the constant of integration
4. D.
   $a\theta\tan^2\theta + a\tan\theta + a\theta + c$ $\left(\text{where } \theta = \tan^{-1}\left(\sqrt{\dfrac{x}{a}}\right)\right)$ and c is the constant of integration

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1. A.
   1
2. B.
   4
3. C.
   6
4. D.
   9

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1. A.
   257.5
2. B.
   252.5
3. C.
   250
4. D.
   247.5

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