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QJEE MAIN 2025
A rod of length eight units moves such that its ends $A$ and $B$ always lie on the lines $x-y+2=0$ and $y+2=0$, respectively. If the...
JEE MainMathematicsMedium
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QJEE MAIN 2025
Two projectiles are fired from ground with same initial speeds from same point at angles $\left( {{{45}^\circ}+\alpha}\right)$ and $\left({{{45}^\circ}-\alpha}\right)$ with horizontal direction. The ratio of...
JEE MainPhysicsEasy
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QJEE MAIN 2025
The number of complex numbers $z$, satisfying $|z|=1$ and $\left|\frac{z}{\bar{z}}+\frac{\bar{z}}{z}\right|=1$, is :
JEE MainMathematicsEasy
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QJEE MAIN 2025
Let the shortest distance from ( $\mathrm{a}, 0$ ), $\mathrm{a}>0$, to the parabola $y^{2}=4 x$ be 4 . Then the equation of the circle passing...
JEE MainMathematicsMedium
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QJEE MAIN 2025
If the square of the shortest distance between the lines $\frac{x-2}{1}=\frac{y-1}{2}=\frac{z+3}{-3}$ and $\frac{x+1}{2}=\frac{y+3}{4}=\frac{z+5}{-5}$ is $\frac{m}{n}$, where $m, n$ are coprime numbers, then $m+n$ is equal...
JEE MainMathematicsEasy
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QJEE MAIN 2025
Let $\mathrm{A}=\{(x, y) \in \mathbf{R} \times \mathbf{R}:|x+y| \geqslant 3\}$ and $\mathrm{B}=\{(x, y) \in \mathbf{R} \times \mathbf{R}:|x|+|y| \leq 3\}$. If $...
JEE MainMathematicsMedium
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QJEE MAIN 2025
In a hydrogen like ion, the energy difference between the ${2^{{\rm{nd }}}}$ excitation energy state and ground is 108.8 eV . The atomic number of...
JEE MainPhysicsEasy
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QJEE MAIN 2025
Match the LIST-I with LIST-I
JEE MainPhysicsEasy
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QJEE MAIN 2025
If in the expansion of $(1+x)^{\mathrm{p}}(1-x)^{\mathrm{q}}$, the coefficients of x and $x^{2}$ are 1 and -2 , respectively, then $p^{2}+q^{2}$ is equal to :
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