Build a question paper in 60 seconds.

1. A
   $\cos^{-1}\frac{1}{\sqrt{10}}$
2. B
   $\cos^{-1}\frac{\sqrt{57}}{\sqrt{10}}$
3. C
   $\cos^{-1}\frac{\sqrt{75}}{\sqrt{10}}$
4. D
   $\cos^{-1}\frac{\sqrt{35}}{\sqrt{10}}$

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1. A
   $\frac{4n^2+1}{12}$
2. B
   $\frac{(2n-1)^2}{12}$
3. C
   $\frac{n^2}{3}-1$
4. D
   $\frac{4n^2-1}{12}$

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1. A
   $p\vee q$
2. B
   $(p\wedge q)\to(p\vee r)$
3. C
   $(p\vee r)\to(p\wedge r)$
4. D
   $p\wedge r$

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

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1. A
   $-11,-6$
2. B
   $11,6$
3. C
   $11,-6$
4. D
   $6,11$

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1. A
   5
2. B
   6
3. C
   11
4. D
   not possible.

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1. A
   $\frac{17}{35}$
2. B
   $\frac{51}{35}$
3. C
   $\frac{5}{7}$
4. D
   $\frac{19}{35}$

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

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

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1. A
   $\frac{1}{2}\log\frac{e^{4x}-e^{2x}+1}{e^{4x}+e^{2x}+1}+c$
2. B
   $\frac{1}{2}\log\frac{e^{2x}+e^x+1}{e^{2x}-e^x+1}+c$
3. C
   $\frac{1}{2}\log\frac{e^{2x}-e^x+1}{e^{2x}+e^x+1}+c$
4. D
   $\frac{1}{2}\log\frac{e^{4x}+e^{2x}+1}{e^{4x}-e^{2x}+1}+c$

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

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1. A
   $\frac{\pi}{4},\frac{\pi}{10}$
2. B
   $\frac{\pi}{6},\frac{\pi}{3}$
3. C
   $\frac{\pi}{4},\frac{\pi}{12}$
4. D
   $\frac{\pi}{8},\frac{\pi}{16}$

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

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1. A
   11 units
2. B
   12 units
3. C
   13 units
4. D
   14 units

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1. A
   0.63
2. B
   0.75
3. C
   0.83
4. D
   0.90

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

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1. A
   $3x^2+8xy-3y^2-20x-10y+25=0$
2. B
   $3x^2-8xy-3y^2-20x-10y-25=0$
3. C
   $3x^2+8xy-3y^2+20x+10y+25=0$
4. D
   $3x^2-8xy-3y^2+20x+10y-25=0$

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1. A
   $-12$
2. B
   $-10$
3. C
   10
4. D
   12

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

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

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1. A
   0.4
2. B
   0.8
3. C
   0.18
4. D
   0.2

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1. A
   80
2. B
   100
3. C
   95
4. D
   105

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1. A
   $\begin{pmatrix}-\cos2x & \sin2x\\ -\sin2x & \cos2x\end{pmatrix}$
2. B
   $\begin{pmatrix}\cos2x & -\sin2x\\ \sin2x & \cos2x\end{pmatrix}$
3. C
   $\begin{pmatrix}\cos2x & \sin2x\\ -\sin2x & \cos2x\end{pmatrix}$
4. D
   $\begin{pmatrix}\cos2x & -\sin2x\\ -\sin2x & \cos2x\end{pmatrix}$

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

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1. A
   $F(x)=4x^3+3x^4$
2. B
   $F(x)=4x^3-3x^4$
3. C
   $F(x)=-4x^3-3x^4$
4. D
   $F(x)=-4x^3+3x^4$

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