1. A
   $a^{2}+b^{2}-2ac=0$
2. B
   $-a^{2}+b^{2}+2ac=0$
3. C
   $a^{2}-b^{2}+2ac=0$
4. D
   $a^{2}+b^{2}+2ac=0$

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1. A
   7
2. B
   8
3. C
   9
4. D
   10

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1. A
   240
2. B
   200
3. C
   150
4. D
   120

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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
   21
2. B
   22
3. C
   42
4. D
   43

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1. A
   $\frac{3\pm\sqrt{11}}{10}$
2. B
   $\frac{21\pm\sqrt{161}}{10}$
3. C
   $\frac{3\pm\sqrt{7}}{10}$
4. D
   $\frac{4\pm\sqrt{11}}{10}$

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

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

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1. A
   25
2. B
   50
3. C
   75
4. D
   100

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1. A
   4
2. B
   6
3. C
   8
4. D
   10

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1. A
   $1+2n$
2. B
   $1+2n^{2}$
3. C
   $1+n^{2}$
4. D
   $1+4n$

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1. A
   $0$
2. B
   $1$
3. C
   $3$
4. D
   $6$

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

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

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1. A
   $\frac{6}{17}$
2. B
   $\frac{7}{16}$
3. C
   $\frac{16}{7}$
4. D
   $\frac{17}{6}$

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1. A
   $-2$
2. B
   $-1$
3. C
   $0$
4. D
   $1$

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1. A
   $1$
2. B
   $\frac{3}{8}$
3. C
   $\frac{9}{8}$
4. D
   $\frac{9}{4}$

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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
   $\frac{1}{2}$
2. B
   $1$
3. C
   $2$
4. D
   Minimum does not exist

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

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1. A
   1 and 2 only
2. B
   2 and 3 only
3. C
   1 and 3 only
4. D
   1, 2 and 3

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1. A
   255
2. B
   256
3. C
   1023
4. D
   1024

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1. A
   1 and 2 only
2. B
   2 and 3 only
3. C
   1 and 3 only
4. D
   1, 2 and 3

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1. A
   $0$
2. B
   $1$
3. C
   $\log_{2}10$
4. D
   $\log_{5}2$

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