Q JEE MAIN 2019

Let $S=\left\{\theta \in[-2 \pi, 2 \pi] ; 2 \cos ^2 \theta+3 \sin \theta=0\right\}$ . Then the sum of the elements...

JEE Main Mathematics Easy

View Solution →

Q JEE MAIN_2019_

All the pairs ( $x, y$ ) that satisfy the inequality $...

JEE Main Mathematics Medium

View Solution →

Q JEE-MAIN 2019

The maximum value of $3 \cos \theta+5 \sin \left(\theta-\frac{\pi}{6}\right)$ for any real value of $\theta$ is

JEE Main Chemistry Easy

View Solution →

Q JEE MAIN 2019

If $0 \leq x

JEE Main Mathematics Easy

View Solution →

Q JEE MAIN_2021_

If $y(x)=\cot ^{-1}\left(\frac{\sqrt{1+\sin x}+\sqrt{1-\sin x}}{\sqrt{1+\sin x}-\sqrt{1-\sin x}}\right), x \in\left(\frac{\pi}{2}, \pi\right)$, then $\frac{d y}{d x}$ at $x=\frac{5 \pi}{6}$ is :

JEE Main Mathematics Medium

View Solution →

Q JEE-MAIN 2020

Which of the following points lies on the tangent to the curve $x^4 e^y+2 \sqrt{y+1}=3$ at the point (1, 0)?

JEE Main Chemistry Easy

View Solution →

Q JEE Main 2019

The sum of all values of $\theta \in\left(0, \frac{\pi}{2}\right)$ satisfying $\sin ^2 2 \theta+\cos ^4 2 \theta=\frac{3}{4}$ is

JEE Main Mathematics Medium

View Solution →

Q JEE Main 2019

Consider a triangular plot ABC with sides AB = 7 m, BC = 5 m and CA = 6 m....

JEE Main Mathematics Medium

View Solution →

Q JEE MAIN 2020

If the tangent to the curve, $y=e^x$ at a point $\left(c, e^c\right)$ and the normal to the parabola, $y^2=4 x$...

JEE Main Mathematics Easy

View Solution →

Q JEE MAIN 2020

If $\frac{\sqrt{2} \sin \alpha}{\sqrt{1+\cos 2 \alpha}}=\frac{1}{7}$ and $\sqrt{\frac{1-\cos 2 \beta}{2}}=\frac{1}{\sqrt{10}}, \alpha, \beta, \in\left(0, \frac{\pi}{2}\right)$, then $\tan (\alpha+2 \beta)$ is equal...

JEE Main Mathematics Hard

View Solution →

Q JEE MAIN_2021_

Let $S$ be the sum of all solutions (in radians) of the equation $...

JEE Main Mathematics Medium

View Solution →

Q JEE MAIN_2021_

The sum of all values of $x$ in $[0,2 \pi]$, for which $\sin x+\sin 2 x+\sin 3 x+\sin 4 x=0$,...

JEE Main Mathematics Medium

View Solution →

Q JEE MAIN_2021

The number of solutions of $\sin ^7 x+\cos ^7 x=1, x \in[0,4 \pi]$ is equal to

JEE Main Mathematics Medium

View Solution →

Q JEE-MAIN 2021

The number of solutions of the equation $x+2 \tan x=\frac{\pi}{2}$ in the interval $[0,2 \pi]$ is :

JEE Main Mathematics Easy

View Solution →

Q JEE MAIN 2021

If $e^{\left(\cos ^2 x+\cos ^4 x+\cos ^6 x+-\infty\right) \log _4 2}$ satisfies the equation $t^2-9 t+8=0$, then the value of...

JEE Main Mathematics Easy

View Solution →

Q JEE MAIN 2021

The number of roots of the equation, $$ (81)^{\sin ^2 x}+(81)^{\cos ^2 x}=30 $$ in the interval $[0, \pi]$ is...

JEE Main Mathematics Easy

View Solution →

Q JEE MAIN 2021

If for $x \in\left(0, \frac{\pi}{2}\right), \log _{10} \sin x+\log _{10} \cos x=-1$ and $\log _{10}(\sin x+\cos x)=\frac{1}{2}\left(\log _{10} n-1\right), n>0$,...

JEE Main Mathematics Easy

View Solution →

Q JEE MAIN_2025

The number of solutions of the equation $\cos 2 \theta \cos \frac{\theta}{2}+\cos \frac{5 \theta}{2}=2 \cos ^2 \frac{5 \theta}{2}$ in $...

JEE Main Physics Easy

View Solution →