Get chapter-wise JEE Main & Advanced questions with solutions
QJEE 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 to
JEE MainMathematicsHard
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QJEE MAIN_2021_
Let $S$ be the sum of all solutions (in radians) of the equation $\sin ^4 q+\cos ^4 q-\sin q \cos q=0$ in $[0,4 \pi]$. Then...
JEE MainMathematicsMedium
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QJEE MAIN_2021_
The sum of all values of $x$ in $[0,2 \pi]$, for which $\sin x+\sin 2 x+\sin 3 x+\sin 4 x=0$, is equal to:
JEE MainMathematicsMedium
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QJEE MAIN_2021
The number of solutions of $\sin ^7 x+\cos ^7 x=1, x \in[0,4 \pi]$ is equal to
JEE MainMathematicsMedium
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QJEE-MAIN 2021
The number of solutions of the equation $x+2 \tan x=\frac{\pi}{2}$ in the interval $[0,2 \pi]$ is :
JEE MainMathematicsEasy
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QJEE 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 MainMathematicsEasy
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QJEE MAIN 2021
The number of roots of the equation,
$$
(81)^{\sin ^2 x}+(81)^{\cos ^2 x}=30
$$
in the interval $[0, \pi]$ is equal to:
JEE MainMathematicsEasy
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QJEE MAIN 2021
If for $x \in\left(0, \frac{\pi}{2}\right), \log _{10} \sin x+\log _{10} \cos x=-1$ and $\log _{10}(\sin x+\cos x)=\frac{1}{2}\left(\log _{10} n-1\right), n>0$, then the value of $n$...
JEE MainMathematicsEasy
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QJEE 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 $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]$ is :
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