Day 523: MHT-CET Maths

1. A.
   f' is not a continuous function of x.
2. B.
   f is neither increasing nor decreasing function of x.
3. C.
   f is an increasing function of x.
4. D.
   f is a decreasing function of x.

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

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1. A.
   $\frac{\cos16x}{256} + c$, where $c$ is the constant of integration
2. B.
   $\frac{- \cos16x}{256} + c$, where $c$ is the constant of integration
3. C.
   $\frac{\sin16x}{256} + c$, where $c$ is the constant of integration
4. D.
   $\frac{- \cos\left( \frac{x}{2} \right)}{4} + c$, where $c$ is the constant of integration

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1. A.
   $\overline{a} \times \overline{b} = \overline{b} \times \overline{c}$
2. B.
   $\overline{a} \cdot \overline{b} = \overline{b} \cdot \overline{c}$
3. C.
   $\bar{a} \cdot \bar{c} = |\bar{b}|^{2}$
4. D.
   $\overline{a} \times \overline{b} = \overline{c} \times \overline{a}$

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

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