Day 49: MHT-CET Maths

1. A.
   $\dfrac{k}{8}$
2. B.
   $-\dfrac{k}{2}$
3. C.
   $-\dfrac{k}{8}$
4. D.
   $\dfrac{k}{2}$

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1. A.
   $\begin{bmatrix} 2 & -3 \\ 5 & -7 \end{bmatrix}$
2. B.
   $\begin{bmatrix} -7 & 3 \\ -5 & 2 \end{bmatrix}$
3. C.
   $\begin{bmatrix} -5 & 0 \\ 0 & -5 \end{bmatrix}$
4. D.
   $\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}$

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1. A.
   $\vec{r} \cdot (4\hat{i} + 5\hat{j} - 2\sqrt{2}\hat{k}) = 49$
2. B.
   $\vec{r} \cdot (4\hat{i} + 5\hat{j} + 2\sqrt{2}\hat{k}) = 49$
3. C.
   $\vec{r} \cdot (4\hat{i} - 5\hat{j} + 2\sqrt{2}\hat{k}) = 49$
4. D.
   $\vec{r} \cdot (4\hat{i} + 5\hat{j} + 2\sqrt{2}\hat{k}) = 40$

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1. A.
   $\sin(\log x)$
2. B.
   $-\cos(\log x)$
3. C.
   $-\sin(\log x)$
4. D.
   $\cos(\log x)$

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1. A.
   $\dfrac{1}{32}$
2. B.
   $\dfrac{1}{16}$
3. C.
   $\dfrac{1}{8}$
4. D.
   $\dfrac{1}{4}$

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