Day 372: NDA Maths

1. A.
   $\begin{pmatrix}1&2\\3&4\end{pmatrix}$
2. B.
   $\begin{pmatrix}1&-2\\-3&4\end{pmatrix}$
3. C.
   $\begin{pmatrix}1&2\\3&-4\end{pmatrix}$
4. D.
   $\begin{pmatrix}-1&2\\3&4\end{pmatrix}$

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1. A.
   1 only
2. B.
   2 only
3. C.
   Both 1 and 2
4. D.
   Neither 1 nor 2

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1. A.
   $x_1 + x_2 > 2\sqrt{x_1 x_2}$
2. B.
   $\sqrt{x_1} + \sqrt{x_2} > \sqrt{2}$
3. C.
   $|\sqrt{x_1} - \sqrt{x_2}| > \sqrt{2}$
4. D.
   $x_1 + x_2 < 2(\sqrt{x_1 x_2}+1)$

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1. A.
   0
2. B.
   $2\sin\alpha$
3. C.
   $2\sin\beta$
4. D.
   $\sin\alpha + \sin\beta$

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1. A.
   $\dfrac{x\log_{10}e}{5x^2+3}$
2. B.
   $\dfrac{2x\log_{10}e}{5x^2+3}$
3. C.
   $\dfrac{10x\log_{10}e}{5x^2+3}$
4. D.
   $\dfrac{10x\log_e 10}{5x^2+3}$

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