Build a question paper in 60 seconds.

1. A
   $\dfrac{4(y^2+4)}{x^2+4}$
2. B
   $\dfrac{4(y^2-4)}{x^2-4}$
3. C
   $\dfrac{16(y^2+4)}{x^2+4}$
4. D
   $\dfrac{16(y^2-4)}{x^2-4}$

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1. A
   $16x$
2. B
   $16y$
3. C
   $-16x$
4. D
   $-16y$

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1. A
   $\frac{\pi}{6}$
2. B
   $\frac{\pi}{4}$
3. C
   $\frac{\pi}{3}$
4. D
   $\frac{5\pi}{12}$

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1. A
   $\frac{\sqrt{3}}{2}$ square unit
2. B
   $\sqrt{3}$ square units
3. C
   $\frac{6}{\sqrt{2}}$ square units
4. D
   $\sqrt{6}$ square units

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1. A
   depends on p only
2. B
   depends on q only
3. C
   depends on both p and q
4. D
   is independent of both p and q

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1. A
   $\frac{y}{x}$
2. B
   $\frac{x}{y}$
3. C
   $\frac{x^{10}}{y^{10}}$
4. D
   $\frac{y}{x^{10}}$

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1. A
   A straight line passing through $(1, 4)$
2. B
   A straight line passing through $(-1, 4)$
3. C
   A parabola with vertex at origin and focus at $(2, 0)$
4. D
   A parabola with vertex at origin and focus at $(1, 0)$

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

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

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1. A
   I only
2. B
   II only
3. C
   Both I and II
4. D
   Neither I nor II

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1. A
   $[0,\infty)$
2. B
   $[0.5, \infty)$
3. C
   $[1, \infty)$
4. D
   $(-\infty, 0.5]$

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1. A
   $-\tan\frac{x}{2} + c$
2. B
   $-\cot\frac{x}{2} + c$
3. C
   $\tan\frac{x}{2} + c$
4. D
   $\cot\frac{x}{2} + c$

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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
   $-\sin 1$
2. B
   $\sin 1$
3. C
   $0$
4. D
   Limit does not exist

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

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1. A
   $3$ square units
2. B
   $4.5$ square units
3. C
   $7.5$ square units
4. D
   $9$ square units

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1. A
   $-1$
2. B
   $0$
3. C
   $1$
4. D
   $5$

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1. A
   I only
2. B
   II only
3. C
   Both I and II
4. D
   Neither I nor II

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

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1. A
   $\frac{1}{3}$ square unit
2. B
   $\frac{2}{3}$ square unit
3. C
   $\frac{4}{3}$ square units
4. D
   $2$ square units

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1. A
   $\sin^{-1}x$
2. B
   $\sin^{-1}\frac{x}{3}$
3. C
   $3\sin^{-1}x$
4. D
   $3\sin^{-1}\frac{x}{3}$

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1. A
   $\frac{1}{\sqrt{9-x^2}}$
2. B
   $\frac{1}{\sqrt{3-x^2}}$
3. C
   $\frac{3}{\sqrt{9-x^2}}$
4. D
   $\frac{9}{\sqrt{9-x^2}}$

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

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