Day 221: MHT-CET Maths

1. A.
   $\tan^{- 1}\frac{3}{11}$
2. B.
   $\tan^{- 1}\frac{11}{3}$
3. C.
   $\tan^{- 1}\frac{2}{11}$
4. D.
   $\ \tan^{- 1}\frac{1}{11}$

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

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1. A.
   $\frac{1}{49}(3\hat{i}-6\hat{j}+3\hat{k})$
2. B.
   $\frac{1}{6}(-\hat{i}-\hat{j}-2\hat{k})$
3. C.
   $-\frac{1}{49}(3\hat{i}-6\hat{j}+2\hat{k})$
4. D.
   $-\frac{1}{6}(-\hat{i}-\hat{j}-2\hat{k})$

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1. A.
   decreasing for all $x \in \mathbb{R}$
2. B.
   decreasing in $( - \infty, - 1)$ and increasing in ( $- 1,\infty$ )
3. C.
   decreasing in $( - 1,\infty)$ and increasing in ( $- \infty, - 1$ )
4. D.
   increasing for all $x \in \mathbb{R}$

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1. A.
   $\frac{9}{16}$
2. B.
   $\ \frac{- 9}{16}$
3. C.
   $\frac{33}{16}$
4. D.
   $\frac{- 33}{16}$

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