Day 374: MHT-CET Maths

1. A.
   $-\frac{\pi}{6}+\frac{1}{2}+\frac{\sqrt{3}}{4}$
2. B.
   $-\frac{\pi}{12}+\frac{1}{2}+\frac{\sqrt{3}}{4}$
3. C.
   $\frac{\pi}{6}+\frac{1}{2}-\frac{\sqrt{3}}{4}$
4. D.
   $\frac{\pi}{12}+\frac{1}{2}-\frac{\sqrt{3}}{4}$

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1. A.
   10
2. B.
   -10
3. C.
   5
4. D.
   -5

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1. A.
   $n\pi + (-1)^n\frac{\pi}{3},\; n\in\mathbb{Z}$
2. B.
   $n\pi + (-1)^n\frac{\pi}{6},\; n\in\mathbb{Z}$
3. C.
   $n\pi \pm (-1)^n\frac{\pi}{4},\; n\in\mathbb{Z}$
4. D.
   $n\pi + (-1)^n\frac{2\pi}{3},\; n\in\mathbb{Z}$

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1. A.
   $-\frac{1}{2}\begin{pmatrix}3&2\\-4&2\end{pmatrix}$
2. B.
   $\frac{1}{14}\begin{pmatrix}3&2\\-4&2\end{pmatrix}$
3. C.
   $\frac{1}{14}\begin{pmatrix}-3&-2\\4&-2\end{pmatrix}$
4. D.
   $-\frac{1}{14}\begin{pmatrix}3&2\\-4&2\end{pmatrix}$

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1. A.
   $e^{\sin^{-1}x} + c$
2. B.
   $e^{\sin^{-1}x}\cdot\sin x + c$
3. C.
   $e^{\sin^{-1}x}\cdot\cos x + c$
4. D.
   $e^{\sin^{-1}x}\cdot x + c$

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