Contact us
Back

Report Issue

2024 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2024
If the solution of the differential equation $(2 x+3 y-2) d x+(4 x+6 y-7) d y=0, y(0)=3$, is $\alpha x+\beta y+3 \log _e|2 x+3 y-\gamma|=6$,...
JEE Main Mathematics Medium
View Solution →
Q JEE MAIN 2024
Let for a differentiable function $f:(0, \infty) \rightarrow R$,
$f(x)-f(y) \geq \log _{\varepsilon}\left(\frac{x}{y}\right)+x-y, \forall x, y \in(0, \infty).$
Then $\sum_{n=1}^{20} f^{\prime}\left(\frac{1}{n^2}\right)$ is equal to
JEE Main Mathematics Hard
View Solution →
Q JEE MAIN 2024
The least positive integral value of $\alpha$, for which the angle between the vectors $\alpha \hat{\imath}-2 \hat{\jmath}+2 k$ and $\alpha \hat{\imath}+ 2 \alpha \hat{\jmath}-2 k$...
JEE Main Mathematics Easy
View Solution →
Q JEE MAIN 2024
The function $\mathrm{f}: \mathrm{N}-\{1\} \rightarrow \mathrm{N}$; defined by $\mathrm{f}(\mathrm{n})=$ the highest prime factor of $n$, is :
JEE Main Mathematics Easy
View Solution →
Q JEE MAIN 2024
Consider the matrix $f(x)=\left[\begin{array}{ccc}\cos x & -\sin x & 0 \\ \sin x & \cos x & 0 \\ 0 & 0 & 1\end{array}\right]$.
Given...
JEE Main Mathematics Medium
View Solution →
Q JEE MAIN 2024
If $a=\lim _{x \rightarrow 0} \frac{\sqrt{1+\sqrt{1+x^4}}-\sqrt{2}}{x^4}$ and $b=\lim _{x \rightarrow 0} \frac{\sin ^2 x}{\sqrt{2}-\sqrt{1+\cos x}}$, then the value of $a b^3$ is :
JEE Main Mathematics Hard
View Solution →
Q JEE MAIN 2024
Let $\overrightarrow{\mathrm{a}}=\hat{\imath}+2 \hat{\jmath}+\mathrm{k}, \overrightarrow{\mathrm{b}}=3(\hat{\imath}-\hat{\jmath}+\mathrm{k})$. Let $\vec{c}$ be the vector such that $\vec{a} \times \vec{c}=\vec{b}$ and $\vec{a} \cdot \vec{c}=3$. Then $\vec{a} \cdot((\vec{c} \times \vec{b})-\vec{b}-\vec{c})$ is equal...
JEE Main Mathematics Medium
View Solution →
Q JEE MAIN 2024
The portion of the line $4 x+5 y=20$ in the first quadrant is trisected by the lines $\mathrm{L}_1$ and $\mathrm{L}_2$ passing through the origin. The...
JEE Main Mathematics Easy
View Solution →
Q JEE MAIN 2024
The length of the chord of the ellipse $\frac{x^2}{25}+\frac{y^2}{16}=1$, whose mid point is $\left(1, \frac{2}{5}\right)$, is equal to :
JEE Main Mathematics Medium
View Solution →
Q JEE MAIN 2024
Let $a_1, a_2, \ldots . . a_{10}$ be 10 observations such that $\sum_{\mathrm{k}=1}^{10} \mathrm{a}_{\mathrm{k}}=50$ and $\sum_{\forall \mathrm{k}<\mathrm{j}} \mathrm{a}_{\mathrm{k}} \cdot \mathrm{a}_{\mathrm{j}}=1100$. Then the standard deviation of...
JEE Main Mathematics Medium
View Solution →