1. A
   24
2. B
   -24
3. C
   0
4. D
   48

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1. A
   $\dfrac{9}{16}$
2. B
   $\dfrac{3}{4}$
3. C
   $\dfrac{3}{2}$
4. D
   $\dfrac{4}{3}$

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

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

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1. A
   7
2. B
   $\dfrac{\pi}{3}$
3. C
   1
4. D
   5

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1. A
   $30^\circ$ or $90^\circ$
2. B
   $45^\circ$ or $60^\circ$
3. C
   $90^\circ$ or $30^\circ$
4. D
   $60^\circ$ or $120^\circ$

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1. A
   3
2. B
   5
3. C
   $\sqrt{34}$
4. D
   $\sqrt{41}$

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1. A
   4, 3, -5
2. B
   $1, 2, \dfrac{-13}{2}$
3. C
   10, 5, -2
4. D
   3, 5, 11

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

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1. A
   null vector
2. B
   the unit vector along the line
3. C
   any vector along the line
4. D
   a vector perpendicular to the line

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1. A
   [0, 6]
2. B
   [-3, 6]
3. C
   [3, 6]
4. D
   [1, 2]

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1. A
   are collinear
2. B
   form an equilateral triangle
3. C
   form a scalene triangle
4. D
   form a right angled triangle

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1. A
   $9p^2 = 4q^2$
2. B
   $4p^2 = 9q^2$
3. C
   $9p = 4q$
4. D
   $4p = 9q$

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1. A
   $\dfrac{\sqrt{34}}{2}$
2. B
   $\dfrac{\sqrt{48}}{2}$
3. C
   $\sqrt{18}$
4. D
   None of these

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1. A
   $30^\circ$
2. B
   $45^\circ$
3. C
   $60^\circ$
4. D
   $90^\circ$

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

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

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1. A
   The arithmetic mean of a and b
2. B
   The geometric mean of a and b
3. C
   The harmonic mean of a and b
4. D
   0

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1. A
   $\pm\dfrac{\hat{i}+\hat{j}-2\hat{k}}{\sqrt{6}}$
2. B
   $\pm\dfrac{\hat{i}+\hat{j}-\hat{k}}{\sqrt{3}}$
3. C
   $\pm\dfrac{\hat{i}+\hat{j}-\hat{k}}{\sqrt{3}}$
4. D
   $\pm\hat{k}$

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

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