1. A
   $(\cos\alpha-\sin\alpha)^{2}$
2. B
   $(\cos\alpha+\sin\alpha)^{2}$
3. C
   $(\cos\alpha-\sin\alpha)^{3}$
4. D
   $\dfrac{(\cos\alpha-\sin\alpha)^{2}}{2}$

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1. A
   $\dfrac{3-\sin2\alpha}{5+2\sin2\alpha}$
2. B
   $\dfrac{5+\sin2\alpha}{3-\sin2\alpha}$
3. C
   $\dfrac{3-2\sin2\alpha}{4+\sin2\alpha}$
4. D
   $\dfrac{3-\sin2\alpha}{4+3\sin2\alpha}$

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

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

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

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

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1. A
   Equilateral
2. B
   Isosceles
3. C
   Right angled triangle
4. D
   Scalene but not right angled

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1. A
   $4\sqrt{3}$
2. B
   $6\sqrt{3}$
3. C
   $8\sqrt{3}$
4. D
   $12\sqrt{3}$

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

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

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1. A
   0
2. B
   1
3. C
   2
4. D
   Cannot be determined

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1. A
   1
2. B
   3
3. C
   17
4. D
   34

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

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1. A
   12
2. B
   14
3. C
   16
4. D
   18

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1. A
   $\sin^{2}2x-44\sin2x+36=0$
2. B
   $\sin^{2}2x+44\sin2x-36=0$
3. C
   $\sin^{2}2x-22\sin2x+18=0$
4. D
   $\sin^{2}2x+22\sin2x-18=0$

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1. A
   0
2. B
   14
3. C
   21
4. D
   28

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

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

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1. A
   $a,b,c$ are in AP
2. B
   $a,b,c$ are in GP
3. C
   $a,2b,c$ are in AP
4. D
   $a,2b,c$ are in GP

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1. A
   $7x^{2}+4x+2=0$
2. B
   $7x^{2}-4x+2=0$
3. C
   $7x^{2}+8x+2=0$
4. D
   $7x^{2}-8x+2=0$

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

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1. A
   $n=\tan^{2}\theta$
2. B
   $n=\cot^{2}\theta$
3. C
   $n=\sin^{2}\theta$
4. D
   $n=\cos^{2}\theta$

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1. A
   $3x+y=0$
2. B
   $2x+3y=0$
3. C
   $3x-2y=0$
4. D
   $3x+2y=0$

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