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2019 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2019
The value of the integral $\int_{-2}^2 \frac{\sin ^2 x}{\left[\frac{x}{\pi}\right]+\frac{1}{2}}$ (where $[x]$ denotes the greatest integer less than or equal to $x$ ) is
JEE Main Mathematics Medium
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Q JEE MAIN 2019
A block of mass 5 kg is (i) pushed in case (A) and (ii) pulled in case (B), by a force $F=20 \mathrm{~N}$, making an...
JEE Main Physics Medium
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Q JEE MAIN 2019
The sum of an infinite geometric series with positive terms is 3 and the sum of the cubes of its terms is $\frac{27}{19}$. Then the...
JEE Main Mathematics Medium
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Q JEE MAIN 2019
A uniform cylindrical rod of length L and radius r, is made from a material whose Young’s modulus of Elasticity equals Y. When this rod...
JEE Main Physics Medium
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Q JEE MAIN 2019
The sum of the real values of $x$ for which the middle term in the binomial expansion of $\left(\frac{x^3}{3}+\frac{3}{x}\right)^8$ equals 5670 is
JEE Main Mathematics Easy
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Q JEE MAIN 2019
Let $f_x(x)=\frac{1}{k}\left(\sin ^k x+\cos ^k x\right)$ for $k=1,2,3, \ldots$. Then for all $x \in R$, the value of $f_4(x)-f_6(x)$ is equal to
JEE Main Mathematics Easy
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Q JEE MAIN 2019
The maximum value of the function $f(x)=3 x^3-18 x^2+27 x-40$ on the set $S=\left\{x \in R: x^2+30 \leq 11 x\right\}$ is
JEE Main Mathematics Easy
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Q JEE MAIN 2019
The direction ratios of normal to the plane through the points $(0,-1,0)$ and $(0,0,1)$ and making an angle $\frac{\pi}{4}$ with the plane $y-z+5=0$ are
JEE Main Mathematics Medium
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Q JEE MAIN 2019
If $y(x)$ is the solution of the differential equation $\frac{d y}{d x}+\left(\frac{2 x+1}{x}\right) y=e^{-2 x}, x>0$ where $y(1)=\frac{1}{2} e^{-2}$ then
JEE Main Physics Medium
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Q JEE MAIN 2019
In a triangle, the sum of lengths of two sides is $x$ and the product of the lengths of the same two sides is $y$....
JEE Main Mathematics Medium
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