Day 203: MHT-CET Maths

1. A.
   $a = c$
2. B.
   $a = b$
3. C.
   $b = c$
4. D.
   $a^2 = b^2 + c^2$

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1. A.
   $\dfrac{\pi}{2}$
2. B.
   $\dfrac{\pi^2}{2}$
3. C.
   $\pi$
4. D.
   $\dfrac{2\pi}{3}$

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1. A.
   $\dfrac{2}{\sqrt{7}}\tan^{-1}\left(\dfrac{2x + 5}{\sqrt{7}}\right) + c$
2. B.
   $-\dfrac{2}{\sqrt{7}}\tan^{-1}\left(\dfrac{2x - 5}{\sqrt{7}}\right) + c$
3. C.
   $\dfrac{2}{\sqrt{7}}\tan^{-1}\left(\dfrac{2x - 5}{\sqrt{7}}\right) + c$
4. D.
   $-\dfrac{2}{\sqrt{7}}\tan^{-1}\left(\dfrac{2x + 5}{\sqrt{7}}\right) + c$

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

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1. A.
   continuous nowhere
2. B.
   continuous for all $x$ except at $x = 0$
3. C.
   continuous everywhere
4. D.
   continuous for all $x$ except at $x = 1$

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