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
   1
3. C
   $\sin2x$
4. D
   $\cos2x$

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

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1. A
   $-\cosec(x^{\circ})\cot(x^{\circ})$
2. B
   $-\dfrac{\pi}{180}\cosec(x^{\circ})\cot(x^{\circ})$
3. C
   $\dfrac{\pi}{180}\cosec(x^{\circ})\cot(x^{\circ})$
4. D
   $-\dfrac{\pi}{180}\cosec(x)\cot(x)$

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1. A
   $y=2x$
2. B
   $y=2x+4$
3. C
   $y=x^{2}-1$
4. D
   $y=\dfrac{x^{2}-2}{2}$

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

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1. A
   $(0,\infty)$
2. B
   $[0,\infty)$
3. C
   $(-\infty,\infty)$
4. D
   $[1,\infty)$

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1. A
   $-\sin3\theta$
2. B
   $-\cos3\theta$
3. C
   $\sin3\theta$
4. D
   $-\sin4\theta$

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1. A
   -1
2. B
   0
3. C
   1
4. D
   Limit does not exist

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1. A
   -1
2. B
   -3
3. C
   3
4. D
   Limit does not exist

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1. A
   8 and 15
2. B
   9 and 14
3. C
   10 and 13
4. D
   11 and 12

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

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1. A
   $\dfrac{81}{512}$
2. B
   $\dfrac{81}{1024}$
3. C
   $\dfrac{81}{256}$
4. D
   $\dfrac{27}{1024}$

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1. A
   $\dfrac{81}{256}$
2. B
   $\dfrac{27}{64}$
3. C
   $\dfrac{27}{256}$
4. D
   $\dfrac{9}{256}$

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

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