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2019 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2019
The value of $\int_0^{\pi / 2} \frac{\sin ^3 x}{\sin x+\cos x} d x$ is :
JEE Main Mathematics Medium
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Q JEE MAIN 2019
Slope of a line passing through P(2, 3) and intersecting the line, x + y = 7 at a distance of 4 units from P,...
JEE Main Mathematics Medium
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Q JEE MAIN 2019
A committee of 11 members is to be formed from 8 males and 5 females. If m is the number of ways the committee is...
JEE Main Mathematics Easy
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Q JEE MAIN 2019
The value of $\cos ^2 10^{\circ}-\cos 10^{\circ} \cos 50^{\circ}+\cos ^2 50^{\circ}$ is:
JEE Main Mathematics Medium
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Q JEE MAIN 2019
Let $\alpha$ and $\beta$ be the roots of the equation $x^2+x+1=0$. Then for $y \neq 0$ in $...
JEE Main Mathematics Medium
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Q JEE MAIN 2019
If the line $y=m x+7 \sqrt{3}$ is normal to the hyperbola $\frac{x^2}{24}-\frac{y^2}{18}=1$, then a value of $m$ is :
JEE Main Mathematics Medium
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Q JEE MAIN_2019_
If the length of the perpendicular from the point ( $\beta$, $0, \beta)(\beta \neq 0)$ to the line, $\frac{x}{1}=\frac{y-1}{0}=\frac{z+1}{-1}$ is $\sqrt{\frac{3}{2}}$, then $\beta$ is equal...
JEE Main Mathematics Medium
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Q _ JEE MAIN_2019_
$$ \text { If } f(x)=\left\{\begin{array}{cc} \frac{\sin (p+1) x+\sin x}{x} & , x<0 \\ q & , x=0 \\ \frac{\sqrt{x+x^2}-\sqrt{x}}{x^{3 / 2}} & , x>0...
JEE Main Mathematics Medium
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Q JEE MAIN 2019
The area (in sq. units) of the region
$A=\left\{(x, y): x^2 \leq y \leq x+2\right\}$ is :
JEE Main Mathematics Easy
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Q JEE MAIN_2019_
If $\Delta_1\left|\begin{array}{ccc}x & \sin \theta & \cos \theta \\ -\sin \theta & -x & 1 \\ \cos \theta & 1 & x\end{array}\right|$ and $...
JEE Main Mathematics Medium
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