Build a question paper in 60 seconds.

1. A
   $(x^2-y^2)\dfrac{dy}{dx} - 2xy = 0$
2. B
   $(x^2-y^2)\dfrac{dy}{dx} + 2xy = 0$
3. C
   $(x^2-y^2)\dfrac{dy}{dx} + xy = 0$
4. D
   $(x^2-y^2)\dfrac{dy}{dx} - xy = 0$

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

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

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

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1. A
   $\frac{10}{3}$
2. B
   $\frac{5}{3}$
3. C
   $\frac{5}{6}$
4. D
   $\frac{2}{3}$

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

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

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1. A
   10
2. B
   8
3. C
   6
4. D
   12

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

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1. A
   $\frac{1}{2}\overrightarrow{AB}$
2. B
   $\frac{1}{2}\overrightarrow{AC}$
3. C
   $\frac{1}{2}\overrightarrow{BC}$
4. D
   $\frac{2}{3}\overrightarrow{AC}$

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1. A
   $\frac{1}{13}$
2. B
   $\frac{1}{169}$
3. C
   $\frac{2}{13}$
4. D
   $\frac{4}{169}$

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

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1. A
   4
2. B
   5
3. C
   7
4. D
   9

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

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1. A
   10
2. B
   5
3. C
   7
4. D
   13

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1. A
   Zero
2. B
   23 s
3. C
   4 s
4. D
   infinite

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1. A
   $n = n_0\frac{V+V_L}{V-V_S}$
2. B
   $n = n_0\frac{V-V_L}{V+V_S}$
3. C
   $n = n_0\frac{V-V_L}{V-V_S}$
4. D
   $n = n_0\frac{V+V_L}{V+V_S}$

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1. A
   All the molecules of a gas are identical.
2. B
   Collisions between the molecules of a gas and that of the molecules with the walls of the container are perfectly elastic.
3. C
   The molecules do not exert appreciable force on one another except during collision.
4. D
   The pressure exerted by a gas is due to the collision between the molecules of the gas.

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1. A
   1:3
2. B
   1:9
3. C
   27:1
4. D
   1:27

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1. A
   isothermal
2. B
   isobaric
3. C
   isochoric
4. D
   adiabatic

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

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1. A
   $9:4$
2. B
   $4:9$
3. C
   $9:36$
4. D
   $2:3$

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1. A
   12 mV
2. B
   7 mV
3. C
   19 mV
4. D
   19 V

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1. A
   6 W
2. B
   9 W
3. C
   12 W
4. D
   24 W

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1. A
   $\sqrt{\frac{2eV}{m}}$
2. B
   $\frac{1}{B}\sqrt{\frac{2Vm}{e}}$
3. C
   $\frac{1}{B}\sqrt{\frac{2Vm}{e}}$
4. D
   $\frac{2Vm}{e^2B}$

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