Day 75: MHT-CET Maths

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

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1. A.
   4
2. B.
   11
3. C.
   5
4. D.
   0

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1. A.
   $\vec{r}=(-2\hat{i}+\frac{1}{3}\hat{j}+\frac{1}{2}\hat{k})+\lambda(3\hat{i}+2\hat{j}+\hat{k})$
2. B.
   $\vec{r}=(-2\hat{i}-\frac{1}{3}\hat{j}+\frac{1}{2}\hat{k})+\lambda(3\hat{i}+2\hat{j}+\hat{k})$
3. C.
   $\vec{r}=(2\hat{i}+\hat{j}+\hat{k})+\lambda(3\hat{i}+2\hat{j}+\hat{k})$
4. D.
   $\vec{r}=(-2\hat{i}-\hat{j}+\hat{k})+\lambda(3\hat{i}+2\hat{j}+\hat{k})$

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1. A.
   $e^{\sin^{-1}x}$
2. B.
   $\frac{1}{\sqrt{1-x^2}}$
3. C.
   $\sin^{-1}x$
4. D.
   $\frac{e^{\sin^{-1}x}}{\sqrt{1-x^2}}$

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1. A.
   is an empty set
2. B.
   is a singleton set
3. C.
   contains more than two elements.
4. D.
   contains two elements.

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