Q JEE MAIN 2021

If the curves, $\frac{x^2}{a}+\frac{y^2}{b}=1$ and $\frac{x^2}{c}+\frac{y^2}{d}=1$ intersect each other at an angle of $90^{\circ}$, then which of the following relations...

JEE Main Mathematics Easy

View Solution →

Q JEE MAIN 2023

Let quadratic curve passing through the point $(-1,0)$ and touching the line $y=x$ at $(1,1)$ be $y=f(x)$. Then the x-intercept...

JEE Main Mathematics Medium

View Solution →

Q JEE MAIN 2023

Let $g(x)=f(x)+f(1-x)$ and $f^{\prime \prime}(x)>0, x \in(0,1)$, If $g$ is decreasing in the interval ( $0, \alpha$ ) and increasing...

JEE Main Mathematics Medium

View Solution →

Q JEE MAIN 2023

The set of all $a \in \mathbb{R}$ for which the equation $x|x-1|+|x+2|+a=0$ has exactly one real root is :

JEE Main Mathematics Medium

View Solution →

Q JEE MAIN 2023

$\max _{0 \leq x \leq \pi}\left\{x-2 \sin x \cos x+\frac{1}{3} \sin 3 x\right\}=$

JEE Main Mathematics Medium

View Solution →

Q JEE-Main_2023

The set of all $a \in \mathbb{R}$ for which the equation $x|x-1|+|x+2|+a=0$ has exactly one real root is :

JEE Main Mathematics Medium

View Solution →

Q JEE-Main_2023

$\max _{0 \leq x \leq \pi}\left\{x-2 \sin x \cos x+\frac{1}{3} \sin 3 x\right\}$

JEE Main Mathematics Medium

View Solution →

Q JEE MAIN 2023

A square piece of tin of side 30 cm is to be made into a box without top by cutting...

JEE Main Mathematics Easy

View Solution →

Q JEE-Main 2024

If $5 f(x)+4 f\left(\frac{1}{x}\right)=x^2-2, \forall x \neq 0$ and $y=9 x^2 f(x)$, then y is strictly increasing in :

JEE Main Mathematics Easy

View Solution →