Day 501: MHT-CET Maths

1. A.
   $\theta = \dfrac{\pi}{3}$
2. B.
   $\theta = \dfrac{\pi}{6}$
3. C.
   $\theta = \dfrac{\pi}{4}$
4. D.
   $\theta = \dfrac{\pi}{2}$

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1. A.
   $75\pi{\text{ }cm}^{2}/$ minute
2. B.
   $\ 25\pi{\text{ }cm}^{2}/$ minute
3. C.
   $3\pi{\text{ }cm}^{2}/$ minute
4. D.
   $\ 54\pi{\text{ }cm}^{2}/$ minute

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

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1. A.
   $0$
2. B.
   $\dfrac{1}{\sqrt{x^2 + 1}}$
3. C.
   $\dfrac{2}{\sqrt{5}}$
4. D.
   $\dfrac{x}{\sqrt{x^2 + 1}}$

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1. A.
   $-\dfrac{1}{\sqrt{6}}\tan^{-1}\left(\dfrac{\sqrt{2}x}{\sqrt{3}}\right) + c$
2. B.
   $\dfrac{1}{\sqrt{6}}\tan^{-1}\left(\dfrac{\sqrt{3}x}{\sqrt{2}}\right) + c$
3. C.
   $-\sqrt{6}\tan^{-1}\left(\dfrac{\sqrt{2}x}{\sqrt{3}}\right) + c$
4. D.
   $\sqrt{6}\tan^{-1}\left(\dfrac{\sqrt{3}x}{\sqrt{2}}\right) + c$

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