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2024 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN
For $\mathrm{x} \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$, if $y(x)=\int \frac{\operatorname{cosec} x+\sin x}{\operatorname{cosec} x \sec x+\tan x \sin ^2 x} d x$ and $\lim _{x \rightarrow\left(\frac{\pi}{2}\right)^{-}} y(x)=0$ then $y\left(\frac{\pi}{4}\right)$...
JEE Main Mathematics Medium
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Q JEE MAIN 2024
$\lim _{x \rightarrow 0} \frac{\mathrm{e}^{2|\sin x|}-2|\sin x|-1}{x^2}$
JEE Main Mathematics Easy
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Q JEE-Main 2024
If $\mathrm{A}=\left[\begin{array}{cc}\sqrt{2} & 1 \\ -1 & \sqrt{2}\end{array}\right], \mathrm{B}=\left[\begin{array}{ll}1 & 0 \\ 1 & 1\end{array}\right], \mathrm{C}=\mathrm{ABA}^{\mathrm{T}}$ and $\mathrm{X}=\mathrm{A}^{\mathrm{T}} \mathrm{C}^2 \mathrm{~A}$, then $\operatorname{det} \mathrm{X}$ is equal...
JEE Main Mathematics Easy
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Q JEE MAIN 2024
The maximum area of a triangle whose one vertex is at $(0,0)$ and the other two vertices lie on the curve $y=-2 x^2+54$ at points...
JEE Main Mathematics Medium
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Q JEE MAIN 2024
Which of the following nuclear fragments corresponding to nuclear fission between neutron $\left(\begin{array}{l}1 \\ 0\end{array} \mathrm{n}\right)$ and
uranium isotope $\left({ }_{92}^{252} \mathrm{U}\right)$ is correct:
JEE Main Physics Easy
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Q JEE MAIN
Let $\left(5, \frac{a}{4}\right)$, be the circumcenter of a triangle with vertices $A(a,-2), B(a, 6)$ and $C\left(\frac{a}{4},-2\right)$. Let $\alpha$ denote the circumradius, $\beta$ denote the area...
JEE Main Mathematics Medium
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Q JEE MAIN 2024
If $f(x)=\frac{4 x+3}{6 x-4}, x \neq \frac{2}{3}$ and (fof) $(x)=g(x)$, where $\mathrm{g}: \mathbb{R}-\left\{\frac{2}{3}\right\} \rightarrow \mathbb{R}-\left\{\frac{2}{3}\right\}$, then (gogog) (4) is equal to
JEE Main Mathematics Easy
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Q JEE-Main 2024
The value of the integral $\int_0^{\frac{\pi}{4}} \frac{x d x}{\sin ^4(2 x)+\cos ^4(2 x)}$ equals :
JEE Main Physics Easy
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Q JEE MAIN
A parallel plate capacitor has a capacitance C=200pF. It is connected to 230" " V ac supply with an angular frequency 300rad/s. The rms value...
JEE Main Physics Medium
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Q JEE MAIN 2024
K_a for CH_3 COOH is 1.8×〖10〗^(-5) and K_b for NH_4 OH is 1.8×〖10〗^(-5). The pH of ammonium acetate solution will be
JEE Main Chemistry Easy
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