Build a question paper in 60 seconds.

1. A
   the vertices of a parallelogram
2. B
   the vertices of a rectangle
3. C
   the vertices of a square
4. D
   collinear

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

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1. A
   1 and 2 only
2. B
   2 and 3 only
3. C
   1 and 3 only
4. D
   1, 2 and 3

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1. A
   $\alpha = \beta$
2. B
   $\alpha > \beta$
3. C
   $\alpha < \beta$
4. D
   $\alpha = 2\beta$

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

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1. A
   $(\hat{a}-\hat{b})$
2. B
   $(\hat{a}+\hat{b})$
3. C
   $(2\hat{a}-\hat{b})$
4. D
   $(2\hat{a}+\hat{b})$

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

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1. A
   $|\vec{a}|^2$
2. B
   $2|\vec{a}|^2$
3. C
   $3|\vec{a}|^2$
4. D
   $4|\vec{a}|^2$

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1. A
   $18\pi$ square metres
2. B
   $15\pi$ square metres
3. C
   $12\pi$ square metres
4. D
   $8\pi$ square metres

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1. A
   $\dfrac{5}{\sqrt{13}}$ units
2. B
   $\dfrac{3}{\sqrt{17}}$ unit
3. C
   $\sqrt{17}$ units
4. D
   $\dfrac{\sqrt{17}}{2}$ units

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1. A
   0
2. B
   1
3. C
   $a+b+c$
4. D
   $abc$

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1. A
   $\left(\dfrac{7}{3}, -\dfrac{8}{3}, 0\right)$
2. B
   $\left(-\dfrac{7}{3}, -\dfrac{8}{3}, 0\right)$
3. C
   $\left(-\dfrac{7}{3}, \dfrac{8}{3}, 0\right)$
4. D
   $\left(\dfrac{7}{3}, \dfrac{8}{3}, 0\right)$

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1. A
   52
2. B
   4
3. C
   2
4. D
   1

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1. A
   outside the ellipse
2. B
   inside the ellipse but not at the focus
3. C
   on the ellipse
4. D
   at the focus

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1. A
   $y + \sqrt{3}x + 5 = 0$
2. B
   $y - \sqrt{3}x + 5 = 0$
3. C
   $y + \sqrt{3}x - 5 = 0$
4. D
   $y - \sqrt{3}x - 5 = 0$

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1. A
   $21x + 46y - 180 = 0$
2. B
   $21x - 46y + 96 = 0$
3. C
   $46x + 21y - 155 = 0$
4. D
   $46x - 21y - 29 = 0$

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1. A
   $\dfrac{x^2}{1024} + \dfrac{7y^2}{64} = 1$
2. B
   $\dfrac{49x^2}{1024} + \dfrac{7y^2}{64} = 1$
3. C
   $\dfrac{7x^2}{1024} + \dfrac{49y^2}{64} = 1$
4. D
   $\dfrac{x^2}{1024} + \dfrac{y^2}{64} = 1$

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1. A
   $4x^2 + 4y^2 + 142x + 47y + 140 = 0$
2. B
   $4x^2 + 4y^2 - 142x - 47y + 138 = 0$
3. C
   $4x^2 + 4y^2 - 142x + 47y + 138 = 0$
4. D
   $4x^2 + 4y^2 + 150x - 49y + 138 = 0$

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1. A
   $\dfrac{x}{a}+\dfrac{y}{b}+\dfrac{z}{c}=1$
2. B
   $\dfrac{a}{x}+\dfrac{b}{y}+\dfrac{c}{z}=1$
3. C
   $\dfrac{a}{x}+\dfrac{b}{y}+\dfrac{c}{z}=2$
4. D
   $\dfrac{x}{a}+\dfrac{y}{b}+\dfrac{z}{c}=2$

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1. A
   $x + 2y + 3z - 6 = 0$
2. B
   $x + 2y + 3z + 6 = 0$
3. C
   $3x + 4y + 5z - 8 = 0$
4. D
   $3x + 4y + 5z + 8 = 0$

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1. A
   $x = y^{\frac{1}{\ln 5}},\ y > 0$
2. B
   $x = y^{\ln 5},\ y > 0$
3. C
   $x = y^{\frac{1}{\ln 5}},\ y < 0$
4. D
   $x = 5\ln y,\ y > 0$

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1. A
   $f(x)$ is continuous at $x = 0$ but not differentiable at $x = 0$
2. B
   $f(x)$ is continuous as well as differentiable at $x = 0$
3. C
   $f(x)$ is discontinuous at $x = 0$
4. D
   None of the above

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

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1. A
   1 and 2 only
2. B
   2 and 3 only
3. C
   1 and 3 only
4. D
   1, 2 and 3

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1. A
   1 and 2 only
2. B
   2 only
3. C
   1 only
4. D
   1, 2 and 3

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