Q JEE Main 2021

\text { The sum of the roots of the equation } x+1-2 \log _2\left(3+2^x\right)+2 \log _4\left(10-2^{-x}\right)=0 \text {, is: }

JEE Main Mathematics Medium

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Q JEE MAIN_2021_

Let $z_1$ and $z_2$ be two complex numbers such that arg $\left(z_1-z_2\right)=\frac{\pi}{4}$ and $z_1, z_2$ satisfy the equation $|z-3|=$ $\operatorname{Re}(z)$....

JEE Main Mathematics Easy

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Q JEE MAIN_2021_

Let $n$ denote the number of solutions of the equation $z^2+3 \bar{z}=0$, where $z$ is a complex number. Then the...

JEE Main Mathematics Medium

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Q JEE MAIN_2021

The area of the triangle with vertices A (z), B (iz) and C (z + iz) is :

JEE Main Mathematics Medium

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Q JEE MAIN 2023

Let $\alpha, \beta$ be the roots of the equation $x^2-\sqrt{2} x+2=0$. Then $\alpha^{14}+\beta^{14}$ is equal to

JEE Main Mathematics Medium

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Q JEE MAIN 2025

Let ${{z}_{1}},{{z}_{2}}$ and ${{z}_{3}}$ be three complex numbers on the circle $|z|=1$ with $...

JEE Main Physics Easy

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