Day 121: MHT-CET Maths

1. A.
   -2
2. B.
   2
3. C.
   -4
4. D.
   4

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1. A.
   $\ 2\log_{2}10$.
2. B.
   $\frac{4\log10}{\log2}$
3. C.
   $\ \log_{2}10$
4. D.
   $\frac{3\log10}{\log2}$

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1. A.
   $\log tan\left( \frac{y}{2} \right) = c - 2\sin\frac{x}{2}$, where c is the constant of integration
2. B.
   $\log tan\left( \frac{y}{4} \right) = c - 2\sin\left( \frac{x}{2} \right)$, where $c$ is the constant of integration
3. C.
   $\ \log\left\lbrack \tan\left( \frac{y}{2} + \frac{\pi}{4} \right) \right\rbrack = c - 2\sin x$, where $c$ is the constant of integration
4. D.
   $\ \log\left\lbrack \tan\left( \frac{y}{4} + \frac{\pi}{4} \right) \right\rbrack = c - 2\sin\frac{x}{2}$, where $c$ is the constant of integration

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1. A.
   $3\tan^{\frac{- 1}{3}}x + c$, where c is the constant of integration
2. B.
   $\ - 3\tan^{\frac{- 1}{3}}x + c$, where c is the constant of integration
3. C.
   $- 3\cot^{\frac{- 1}{3}}x + c$, where c is the constant of integration
4. D.
   $\ - \frac{3}{4}\tan^{\frac{- 4}{3}}x + c$, where $c$ is the constant of integration

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

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