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2023 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2023
For $\mathrm{x} \in(-1,1]$, the number of solutions of the equation $\sin ^{-1} \mathrm{x}=2 \tan ^{-1} \mathrm{x}$ is equal to
JEE Main Mathematics Easy
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Q JEE MAIN 2023
Let a curve $y=f(x), x \in(0, \infty)$ pass through the points $P\left(1, \frac{3}{2}\right)$ and $Q\left(a, \frac{1}{2}\right)$. If the tangent at any point $R(b, f(b))$ to...
JEE Main Mathematics Hard
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Q JEE MAIN 2023
Let $[\alpha]$ denote the greatest integer $\leq \alpha$. Then $[\sqrt{1}]+[\sqrt{2}]+[\sqrt{3}]+\ldots .+[\sqrt{120}]$ is equal to $\_\_\_\_$ .
JEE Main Mathematics Medium
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Q JEE-Main 2023
If the probability that the random variable $X$ takes values $x$ is given by $P(X=x)=k(x+1) 3^{-x}, x=0,1$, $2,3 \ldots \ldots$, where $k$ is a constant,...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
For $\alpha, \beta, z \in C$ and $\lambda>1$, if $\sqrt{\lambda-1}$ is the radius of the circle $|z-\alpha|^2+|z-\beta|^2=2 \lambda$, then $|\alpha-\beta|$ is equal to $\_\_\_\_$ ....
JEE Main Mathematics Hard
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Q JEE MAIN 2023
Total numbers of 3-digit numbers that are divisible by 6 and can be formed by using the digits 1, 2, 3, 4, 5 with repetition,...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let $f(x)=\sum_{k=1}^{10} k x^k, x \in R$. If $2 f(2)+f^{\prime}(2)=119(2)^n+1$, then $n$ is equal to $\_\_\_\_$ .
JEE Main Mathematics Medium
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Q JEE MAIN 2023
The number of points, where the curve $y=x^5-20 x^3+50 x+2$ crosses the $x$-axis, is $\_\_\_\_$ .
JEE Main Mathematics Easy
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Q JEE MAIN 2023
Let A= {–4, –3, –2, 0, 1, 3, 4} and R = {(a, b) ∈ A × A : b = |a| or b2 =...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
If $(20)^{19}+2(21)(20)^{18}+3(21)^2(20)^{17}+\ldots \ldots . .+20(21)^{19}=\mathrm{k}(20)^{19}$, then k is equal to $\_\_\_\_$ .
JEE Main Mathematics Hard
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