Day 474: MHT-CET Maths

1. A.
   0
2. B.
   1
3. C.
   -1
4. D.
   2

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1. A.
   $\dfrac{\sqrt{5}}{12}$
2. B.
   $\dfrac{\sqrt{5}}{18}$
3. C.
   $2\sqrt{5}$
4. D.
   $3\sqrt{5}$

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1. A.
   $4$
2. B.
   $\dfrac{14}{3}$
3. C.
   $7$
4. D.
   $\dfrac{26}{3}$

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

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1. A.
   continuous and differentiable everywhere
2. B.
   neither continuous nor differentiable at $x = 4$
3. C.
   continuous everywhere, but not differentiable at $x = 4$
4. D.
   Differentiable at $x = 4$, but not continuous.

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