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QJEE MAIN 2019
$\lim _{x \rightarrow 0} \frac{x \cot (4 x)}{\sin ^2 x \cot ^2(2 x)}$ is equal to
JEE MainMathematicsEasy
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QJEE MAIN 2019
If in a parallelogram ABDC, the coordinates of A, B and C are respectively (1, 2), (3, 4) and (2, 5), then the equation of...
JEE MainMathematicsEasy
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QJEE MAIN 2019
Contrapositive of the statement
“If two numbers are not equal, then their squares are not equal.” is :
JEE MainMathematicsEasy
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QJEE MAIN 2019
Let $f(x)=\frac{x}{\sqrt{a^2+x^2}}-\frac{(d-x)}{\sqrt{b^2+(d-x)^2}}, x \in R$ where $a, b$ and $d$ are non-zero real constants. Then :
JEE MainMathematicsHard
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QJEE MAIN 2019
Two blocks $A$ and $B$ of masses $m_A=1 \mathrm{~kg}$ and $\mathrm{m}_{\mathrm{B}}=3 \mathrm{~kg}$ are kept on the table as shown in figure. The coefficient of friction...
JEE MainPhysicsEasy
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QJEE MAIN 2019
Let $z$ be a complex number such that $|z|+z=3+i($ where $i=\sqrt{-1})$. Then $|z|$ is equal to :
JEE MainMathematicsEasy
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QJEE MAIN 2019
In $\mathrm{Li}^{++}$, electron in first Bohr orbit is excited to a level by a radiation of wavelength $\lambda$. When the ion gets deexcited to the...
JEE MainPhysicsEasy
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QJEE MAIN 2019
If the area of the triangle whose one vertex is at the vertex of the parabola, $y^2+4\left(x-a^2\right)=0$ and the other two vertices are the points...
JEE MainMathematicsEasy
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QJEE MAIN 2019
The graph shows how the magnification m produced by a thin lens varies with image distance v. What is the focal length of the lens...
JEE MainPhysicsMedium
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QJEE MAIN 2019
If $\int \frac{x+1}{\sqrt{2 x-1}} d x=f(x) \sqrt{2 x-1}+C$, where $C$ is a constant of integration, then $f(x)$ is equal to :
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