1. A
   $(110010000)_2$
2. B
   $(110001000)_2$
3. C
   $(110000100)_2$
4. D
   $(100100000)_2$

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1. A
   $5n^2$
2. B
   $4n^2$
3. C
   $3n^2$
4. D
   $2n^2$

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1. A
   9
2. B
   12
3. C
   15
4. D
   16

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1. A
   Both Statement-I and Statement-II are correct and Statement-II explains Statement-I
2. B
   Both Statement-I and Statement-II are correct but Statement-II does not explain Statement-I
3. C
   Statement-I is correct but Statement-II is not correct
4. D
   Statement-I is not correct but Statement-II is correct

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1. A
   Both Statement-I and Statement-II are correct and Statement-II explains Statement-I
2. B
   Both Statement-I and Statement-II are correct but Statement-II does not explain Statement-I
3. C
   Statement-I is correct but Statement-II is not correct
4. D
   Statement-I is not correct but Statement-II is correct

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

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1. A
   4
2. B
   2
3. C
   1
4. D
   None

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1. A
   $\cos^3\theta$
2. B
   $\cos3\theta$
3. C
   $2\cos3\theta$
4. D
   $3\cos3\theta$

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

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

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1. A
   parallel lines
2. B
   concurrent lines
3. C
   lines at a fixed distance from the origin of coordinates
4. D
   the same line

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1. A
   $a^2-c^2+b^2-d^2$
2. B
   $c^2+d^2-a^2-b^2$
3. C
   $(a^2-c^2+b^2-d^2)/2$
4. D
   $(c^2+d^2-a^2-b^2)/2$

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1. A
   None
2. B
   One
3. C
   Two
4. D
   All three

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1. A
   2
2. B
   1
3. C
   $\dfrac{1}{2}$
4. D
   $a^2+b^2$

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1. A
   $y=-\dfrac{\sqrt{3}}{2}x+\dfrac{7}{2}$
2. B
   $\dfrac{x}{(7/\sqrt{3})}+\dfrac{y}{(7/2)}=1$
3. C
   $\dfrac{\sqrt{3}}{\sqrt{7}}x+\dfrac{2}{\sqrt{7}}y=\sqrt{7}$
4. D
   $\dfrac{\sqrt{3}}{\sqrt{7}}x+\dfrac{2}{\sqrt{7}}y=7$

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1. A
   2 square units
2. B
   3 square units
3. C
   4 square units
4. D
   8 square units

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

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

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

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