Day 539: MHT-CET Maths

1. A.
   $\frac{1}{16}$
2. B.
   $\frac{1}{8}$
3. C.
   $-\frac{1}{8}$
4. D.
   $-\frac{1}{16}$

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1. A.
   $\frac{10}{\sqrt{83}}$ units
2. B.
   $\frac{5}{\sqrt{83}}$ units
3. C.
   $\frac{10}{\sqrt{74}}$ units
4. D.
   $\frac{20}{\sqrt{74}}$ units

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1. A.
   obtuse angled
2. B.
   right angled
3. C.
   acute angled
4. D.
   isosceles

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1. A.
   $30\hat{i}-\hat{j}-14\hat{k}$
2. B.
   $90\hat{i}-3\hat{j}-42\hat{k}$
3. C.
   $90\hat{i}+\hat{j}-7\hat{k}$
4. D.
   $30\hat{i}-3\hat{j}+7\hat{k}$

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1. A.
   $\frac{1}{2}\tan\frac{x}{2}+c$, where c is a constant of integration.
2. B.
   $\tan\frac{x}{2}+c$, where c is a constant of integration.
3. C.
   $2\cot\frac{x}{2}+c$, where c is a constant of integration.
4. D.
   $\cot\frac{x}{2}+c$, where c is a constant of integration.

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