Day 225: NDA Maths

1. A.
   $3 \times 5$ matrix
2. B.
   $5 \times 3$ matrix
3. C.
   $3 \times 2$ matrix
4. D.
   $5 \times 2$ matrix

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1. A.
   $\dfrac{2}{9}$
2. B.
   $\dfrac{1}{3}$
3. C.
   $\dfrac{4}{9}$
4. D.
   $\dfrac{5}{9}$

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1. A.
   1
2. B.
   2
3. C.
   3
4. D.
   4

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1. A.
   It is increasing in the interval $\left(0,\frac{\pi}{2}\right)$
2. B.
   It remains constant in the interval $\left(0,\frac{\pi}{2}\right)$
3. C.
   It is decreasing in the interval $\left(0,\frac{\pi}{2}\right)$
4. D.
   It is decreasing in the interval $\left(\frac{\pi}{4},\frac{\pi}{2}\right)$

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1. A.
   $\dfrac{1}{6}$
2. B.
   $\dfrac{1}{4}$
3. C.
   $\dfrac{1}{3}$
4. D.
   $\dfrac{1}{2}$

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