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2022 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2022
Let f(x) be a quadratic polynomial such that f(–2) + f(3) = 0. If one of the roots of f(x) = 0 is –1, then...
JEE Main Mathematics Easy
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Q JEE MAIN 2022
If the shortest distance between the lines $\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{\lambda}$ and $\frac{x-2}{1}=\frac{y-4}{4}=\frac{z-5}{5}$ is $\frac{1}{\sqrt{3}}$, then the sum of all possible values of $\lambda$ is :
JEE Main Mathematics Medium
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Q JEE MAIN 2022
If the equation of the parabola, whose vertex is at $(5,4)$ and the directrix is $3 x+y-29=0, x^2+a y^2+b x y+c x +d y+k=0$ then...
JEE Main Mathematics Medium
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Q JEE MAIN 2022
If the solution of the differential equation $\frac{d y}{d x}+e^x\left(x^2-2\right) y=\left(x^2-2 x\right)\left(x^2-2\right) e^{2 x}$ satisfies y(0) = 0, then the value of y(2) is _______...
JEE Main Mathematics Medium
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Q JEE MAIN 2022
Let $\mathrm{R}_1=\{(\mathrm{a}, \mathrm{b}) \in \mathrm{N} \times \mathrm{N}:|\mathrm{a}-\mathrm{b}| \leq 13\}$ and $R_2=\{(a, b) \in N \times N:|a-b| \neq 13\}$. Then on $N$ :
JEE Main Mathematics Easy
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Q JEE MAIN 2022
The value of $\tan ^{-1}\left(\frac{\cos \left(\frac{15 \pi}{4}\right)-1}{\sin \left(\frac{\pi}{4}\right)}\right)$ is equal to :
JEE Main Mathematics Easy
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Q JEE MAIN 2022
If the solution curve of the differential equation $\left(\left(\tan ^{-1} y\right)-x\right) d y=\left(1+y^2\right) d x$ passes through the point $(1,0)$ then the abscissa of the...
JEE Main Mathematics Medium
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Q JEE MAIN 2022
If $y=y(x)$ is the solution of the differential equation $x \frac{d y}{d x}+2 y=x e^x, y(1)=0$, then the local maximum value of the function $...
JEE Main Mathematics Easy
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Q JEE MAIN 2022
Which of the following is the correct plot for the probability density $\psi^2(r)$ as a function of distance ' $r$ ' of the electron form...
JEE Main Chemistry Easy
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Q JEE MAIN 2022
The number of solutions of the equation cos $\left(x+\frac{\pi}{3}\right) \cos \left(\frac{\pi}{3}-x\right)=\frac{1}{4} \cos ^2 2 x, x \in[-3 \pi, 3 \pi]$ is :
JEE Main Mathematics Medium
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