1. A
   $A$ and $B$ should be square matrices of same order.
2. B
   Either $A$ or $B$ should be a square matrix.
3. C
   Both $A$ and $B$ should be of same order.
4. D
   Orders of $A$ and $B$ need not be the same.

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

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1. A
   215
2. B
   311
3. C
   317
4. D
   323

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1. A
   $A$ must be a unit matrix.
2. B
   $B$ must be a unit matrix.
3. C
   Both $A$ and $B$ must be unit matrices.
4. D
   $A$ and $B$ need not be unit matrices.

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

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1. A
   $\frac{6}{25}$
2. B
   $\frac{12}{25}$
3. C
   $-\frac{6}{25}$
4. D
   $-\frac{12}{25}$

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

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

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

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1. A
   0
2. B
   1
3. C
   100
4. D
   -100

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1. A
   no solution
2. B
   unique solution
3. C
   two solutions
4. D
   infinite number of solutions

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

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

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

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1. A
   0
2. B
   1
3. C
   $2\tan\theta$
4. D
   $2\cot\theta$

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1. A
   $\frac{\pi}{2}$
2. B
   $\frac{3\pi}{4}$
3. C
   $\frac{3\pi}{5}$
4. D
   $\frac{3\pi}{8}$

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1. A
   1
2. B
   $\frac{26}{25}$
3. C
   $\frac{6}{5}$
4. D
   $\frac{31}{25}$

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1. A
   12 m
2. B
   9 m
3. C
   $(6+\sqrt{3})$ m
4. D
   $(6+3\sqrt{3})$ m

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1. A
   8 m
2. B
   10 m
3. C
   12 m
4. D
   15 m

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1. A
   10
2. B
   7
3. C
   $\frac{7}{2}$
4. D
   $\frac{7}{4}$

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1. A
   $x \in R$
2. B
   $x \in R - \{-1, 1\}$ only
3. C
   $x \in R - \{0\}$ only
4. D
   $x \in R - [-1, 1]$ only

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1. A
   $\frac{24}{25}$
2. B
   $\frac{18}{25}$
3. C
   $\frac{12}{25}$
4. D
   $\frac{6}{25}$

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1. A
   45°
2. B
   60°
3. C
   75°
4. D
   90°

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1. A
   16 cm$^2$
2. B
   12 cm$^2$
3. C
   10 cm$^2$
4. D
   8 cm$^2$

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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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