Day 50: NDA Maths

1. A.
   18
2. B.
   25
3. C.
   10
4. D.
   12

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1. A.
   75 and 75
2. B.
   50 and 100
3. C.
   70 and 80
4. D.
   100 and 50

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

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1. A.
   $0$
2. B.
   $\frac{\pi}{4}$
3. C.
   $\frac{\pi}{2}$
4. D.
   $\pi$

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1. A.
   $\dfrac{d^2y}{dx^2}+y=0$
2. B.
   $\dfrac{d^2y}{dx^2}+2y=0$
3. C.
   $\dfrac{d^2y}{dx^2}-4y=0$
4. D.
   $\dfrac{d^2y}{dx^2}+4y=0$

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1. A.
   $\begin{pmatrix} 0 & 0 & 0 \\ 0 & 0 & 0 \\ -2 & -1 & 8 \end{pmatrix}$
2. B.
   $\begin{pmatrix} 0 & 0 & -2 \\ 0 & 0 & -1 \\ 0 & 0 & 8 \end{pmatrix}$
3. C.
   $\begin{pmatrix} 0 & 0 & 2 \\ 0 & 0 & 1 \\ 0 & 0 & 0 \end{pmatrix}$
4. D.
   It does not exist

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