Build a question paper in 60 seconds.

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

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1. A
   0.7
2. B
   0.75
3. C
   0.65
4. D
   0.6

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1. A
   $\frac{8}{9}$
2. B
   $\frac{1}{9}$
3. C
   $\frac{\sqrt{17}}{9}$
4. D
   $\frac{\sqrt{45}}{9}$

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1. A
   150
2. B
   160
3. C
   110
4. D
   180

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

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1. A
   $6\vec{c}$
2. B
   $-6\vec{c}$
3. C
   $\vec{c}$
4. D
   $2\vec{c}$

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1. A
   $(\sqrt{3}-1):1$
2. B
   $\sqrt{3}:\sqrt{5}$
3. C
   $\sqrt{2}:\sqrt{3}$
4. D
   $(\sqrt{3}-1):\sqrt{4}$

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1. A
   $\frac{x-1}{-3}=\frac{y-2}{5}=\frac{z-3}{4}$
2. B
   $\frac{x-1}{-3}=\frac{y-2}{-5}=\frac{z-3}{4}$
3. C
   $\frac{x-1}{4}=\frac{y-2}{5}=\frac{z-3}{3}$
4. D
   $\frac{x-1}{5}=\frac{y-2}{7}=\frac{z-3}{1}$

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1. A
   $\frac{1}{10}$
2. B
   $\frac{3}{10}$
3. C
   $\frac{7}{100}$
4. D
   $\frac{9}{100}$

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1. A
   $\frac{1}{a^2}-\frac{1}{b^2}=\frac{1}{c}$
2. B
   $\frac{1}{a^2}+\frac{1}{b^2}=\frac{1}{c}$
3. C
   $\frac{1}{a^2}+\frac{1}{b^2}=\frac{1}{c^2}$
4. D
   $\frac{1}{a^2}-\frac{1}{b^2}=\frac{1}{c^2}$

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1. A
   2
2. B
   3
3. C
   4
4. D
   9

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

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1. A
   Figure (a)
   
2. B
   Figure (b)
   
3. C
   Figure (c)
   
4. D
   Figure (d)
   

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1. A
   $L_1 > L_2$
2. B
   $L_2 > L_1$
3. C
   $L_1 = L_2 \cdot 2^{3}$
4. D
   $L_2 = L_1 \cdot 2^{3}$

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1. A
   0.1 s
2. B
   0.2 s
3. C
   0.4 s
4. D
   0.5 s

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1. A
   $\\\frac{V}{3}$
2. B
   $\\\frac{V}{4}$
3. C
   $\\\frac{V}{6}$
4. D
   $\\\frac{V}{9}$

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1. A
   Gravitational force is stronger than electrostatic force.
2. B
   Gravitational as well as electrostatic force is always attractive.
3. C
   Gravitational as well as electrostatic force always act along the line joining the two objects
4. D
   Inverse square law $F \propto \\\frac{1}{r^2}$ is not observed by electrostatic force.

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1. A
   $4\pi \times 10^{-26}$ T
2. B
   $2\pi \times 10^{-26}$ T
3. C
   $4\pi \times 10^{-19}$ T
4. D
   $2\pi \times 10^{-19}$ T

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1. A
   3:1
2. B
   1:3
3. C
   9:1
4. D
   1:9

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

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1. A
   1.65
2. B
   1.60
3. C
   1.55
4. D
   1.50

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1. A
   0.06 m
2. B
   0.10 m
3. C
   0.09 m
4. D
   0.07 m

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1. A
   $\\\frac{Kq_1q_2 x}{d(d-x)}$
2. B
   $\\\frac{Kq_1q_2 d}{(d-x)^2}$
3. C
   $\\\frac{Kq_1q_2}{d^2-x^2}$
4. D
   $\\\frac{Kq_1q_2 x}{d^2-x^2}$

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1. A
   $10\,\Omega$
2. B
   $12\,\Omega$
3. C
   $15\,\Omega$
4. D
   $20\,\Omega$

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

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