Build a question paper in 60 seconds.

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

Tap an option to check your answer.

1. A
   $y + x^2\tan^{-1}\frac{x}{2} + c = 0$, where c is a constant of integration.
2. B
   $y + x\tan^{-1}x + c = 0$, where c is a constant of integration.
3. C
   $y - x - \tan^{-1}x + c = 0$, where c is a constant of integration.
4. D
   $y = \frac{x^2\tan^{-1}x}{2} - \frac{1}{2}x + \tan^{-1}x + c$, where c is constant of integration.

Tap an option to check your answer.

1. A
   $\frac{15}{4}$
2. B
   $\frac{21}{2}$
3. C
   $\frac{17}{4}$
4. D
   $\frac{15}{2}$

Tap an option to check your answer.

1. A
   $\left(\frac{13}{5},\frac{23}{5},0\right)$
2. B
   $\left(-\frac{13}{5},\frac{23}{5},0\right)$
3. C
   $\left(\frac{13}{5},-\frac{23}{5},0\right)$
4. D
   $\left(-\frac{13}{5},-\frac{23}{5},0\right)$

Tap an option to check your answer.

1. A
   $\frac{4}{5}$
2. B
   $-\frac{4}{5}$
3. C
   $\frac{3}{5}$
4. D
   0

Tap an option to check your answer.

1. A
   $-\left(x^4+1\right)^{1/4}+c$
2. B
   $-\frac{(x^4+1)^{1/4}}{x}+c$
3. C
   $-\frac{(x^4+1)^{1/4}}{x}+c$ (same but negative)
4. D
   $-\left(x^4+1\right)^{1/4}+c$

Tap an option to check your answer.

1. A
   $144$ sq. units
2. B
   $216$ sq. units
3. C
   $256$ sq. units
4. D
   $296$ sq. units

Tap an option to check your answer.

1. A
   13
2. B
   2
3. C
   3
4. D
   12

Tap an option to check your answer.

1. A
   1.6
2. B
   3.6
3. C
   6.6
4. D
   0.6

Tap an option to check your answer.

1. A
   $\vec{r} = (\hat{i}-\frac{\hat{j}}{3}+\frac{\hat{k}}{3})+\lambda(3\hat{i}+2\hat{j}+\hat{k})$
2. B
   $\vec{r} = (-\hat{i}+\frac{\hat{j}}{3}-\frac{\hat{k}}{3})+\lambda(\frac{1}{2}\hat{i}+\frac{1}{3}\hat{j}+\frac{1}{6}\hat{k})$
3. C
   $\vec{r} = (3\hat{i}-\hat{j}-\hat{k})+\lambda(3\hat{i}+2\hat{j}+\hat{k})$
4. D
   $\vec{r} = (\hat{i}-\hat{j}+\hat{k})+\lambda(\frac{1}{2}\hat{i}+\frac{1}{3}\hat{j}+\frac{1}{6}\hat{k})$

Tap an option to check your answer.

1. A
   $\frac{22}{3}$
2. B
   5
3. C
   −18
4. D
   2

Tap an option to check your answer.

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

Tap an option to check your answer.

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

Tap an option to check your answer.

1. A
   $\left(\frac{dy}{dx}\right)^3=27y$
2. B
   $\left(\frac{dy}{dx}\right)^3=-27y$
3. C
   $8\left(\frac{dy}{dx}\right)^3=27y$
4. D
   $8\left(\frac{dy}{dx}\right)^3+27y=0$

Tap an option to check your answer.

1. A
   T, T
2. B
   T, F
3. C
   F, T
4. D
   F, F

Tap an option to check your answer.

1. A
   20 grams
2. B
   15 grams
3. C
   12 grams
4. D
   10 grams

Tap an option to check your answer.

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

Tap an option to check your answer.

1. A
   $x=-\frac{1}{11}, y=\frac{2}{11}$
2. B
   $x=\frac{1}{11}, y=-\frac{2}{11}$
3. C
   $x=-\frac{1}{11}, y=-\frac{2}{11}$
4. D
   $x=\frac{1}{11}, y=\frac{2}{11}$

Tap an option to check your answer.

1. A
   $\frac{n(n+1)(4n-1)}{6}$
2. B
   $\frac{n(n+1)}{2}$
3. C
   $\frac{n(n+1)(2n+1)}{6}$
4. D
   $\frac{n(2n+1)}{4}$

Tap an option to check your answer.

1. A
   $\log x - \frac{1}{2}(\log x)^2 - \tan^{-1}y = -\frac{\pi}{4}$
2. B
   $\log x + \frac{1}{2}(\log x)^2 + \tan^{-1}y = \frac{\pi}{4}$
3. C
   $\log x - \frac{1}{2}(\log x)^2 + \tan^{-1}y = \frac{\pi}{4}$
4. D
   $\log x + \frac{1}{2}(\log x)^2 - \tan^{-1}y = \frac{\pi}{4}$

Tap an option to check your answer.

1. A
   −1
2. B
   1
3. C
   −11
4. D
   11

Tap an option to check your answer.

1. A
   0.75
2. B
   7.5
3. C
   0.0075
4. D
   0.075

Tap an option to check your answer.

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

Tap an option to check your answer.

1. A
   $\frac{-1}{\sqrt{1-x^2}}$
2. B
   $\frac{-(e)^{\cos^{-1}x}}{\sqrt{1-x^2}}$
3. C
   $\frac{-1}{\sqrt{1-x^2}e^x}$
4. D
   $-\sqrt{1-x^2}$

Tap an option to check your answer.

1. A
   30
2. B
   15
3. C
   60
4. D
   40

Tap an option to check your answer.