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2019 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE-MAIN 2019
Considering only the principal values of inverse functions, the set
$A=\left\{x \geq 0 ; \tan ^{-1}(2 x)+\tan ^{-1}(3 x)=\frac{\pi}{4}\right\}$
JEE Main Mathematics Easy
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Q JEE-MAIN 2019
If $\lambda$ be the ratio of the roots of the quadratic equation in $x, 3 m^2 x^2+m(m-4) x+2=0$, then the least value of $m$ for...
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Q JEE-MAIN 2019
The sum of the distinct real values of $\mu$, for which the vectors, $\mu \hat{j}+\hat{j}+\hat{k}, \hat{i}+\mu \hat{j}+\hat{k}, \hat{i}+\hat{j}+\mu \hat{k}$ are co-planar, is
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Q JEE-MAIN 2019
Let $C 1$ and $C 2$ be the centres of the circles $x^2+y^2-2 x-2 y-2=0$ and $x^2+y^2-6 x-6 y+14=0$ respectively. If $P$ and $Q$ are...
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Q JEE-MAIN 2019
The area (in sq. units) of the region bounded by the parabola, $y=x^2+2$ and the lines, $y=x+1, x=0$ and $x=3$, is
JEE Main Mathematics Easy
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Q JEE MAIN 2019
Let $y=y(x)$ be the solution of the differential equation, $x \frac{d y}{d x}+y=x \log _e x x,(x>1)$. If $2 y(2)=\log _e 4-1$, then $y(e)$ is...
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Q JEE-MAIN 2019
If the sum of the deviations of 50 observations from 30 is 50, then the mean of these observations is
JEE Main Mathematics Easy
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Q JEE-MAIN 2019
A tetrahedron has vertices $P(1,2,1), Q(2,1,3), R(-1,1,2)$ and $O(0,0,0)$. The angle between the faces $O P Q$ and $P Q R$ is
JEE Main Mathematics Easy
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Q JEE-MAIN 2019
The product of three consecutive terms of a G.P. is 512. If 4 is added to each of the first and the second of these...
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Q JEE MAIN 2019
The number of natural numbers less than 7,000 which can be formed by using the digits 0, 1, 3, 7,9 (repitition of digits allowed) is...
JEE Main Mathematics Medium
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