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QJEE MAIN 2020
The area (in sq. units) of the region $A=\left\{(x, y)\right.$ : $\left.|x|+|y| \leq 1,2 y^2 \geq|x|\right\}$ is :
JEE MainMathematicsHard
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QJEE MAIN 2020
If the function $f(x)\left\{\begin{array}{ll}k_1(x-\pi)^2-1, & x \leq \pi \\ k_2 \cos x, & x>\pi\end{array}\right.$ is twice differentiable, then the ordered pair $\left(k_1, k_2\right)$ is equal...
JEE MainMathematicsMedium
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QJEE MAIN
The values of $\lambda$ and $\mu$ for which the system of linear equations $$ \begin{aligned} & x+y+z=2 \\ & x+2 y+3 z=5 \\ & x+3...
JEE MainMathematicsEasy
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Q JEE MAIN 2020
Let $\lambda \in \mathrm{R}$. The system of linear equations $$ \begin{aligned} & 2 x_1-4 x_2+\lambda x_3=1 \\ & x_1-6 x_2+x_3=2 \\ & \lambda x_1-10 x_2+4...
JEE MainMathematicsMedium
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QJEE MAIN 2020
Let L denote the line in the xy-plane with x and y intercepts as 3 and 1 respectively. Then the image of the point (–1,...
JEE MainMathematicsEasy
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QJEE MAIN 2020
If $\quad \int\left(e^{2 x}+2 e^x-e^{-x}-1\right) e^{\left(e^x+e^{-x}\right)} d x=g(x) e^{\left(e^x+e^{-x}\right)}+c$ where c is a constant of integration, then $\mathrm{g}(0)$ is equal to:
JEE MainMathematicsHard
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QJEE MAIN 2020
A plane P meets the coordinate axes at A, B and C respectively. The centroid of ΔABC is given to be (1, 1, 2). Then...
JEE MainMathematicsEasy
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QJEE MAIN 2020
A soft drink was bottled with a partial pressure of $\mathrm{CO}_2$ of 3 bar over the liquid at room temperature. The partial pressure of $\mathrm{CO}_2$...
JEE MainChemistryMedium
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QJEE MAIN 2020
The area (in sq. units) of the region enclosed by the curves $y=x^2-1$ and $y=1-x^2$ is equal to :
JEE MainMathematicsEasy
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QJEE MAIN 2020
An oxidation-reduction reaction in which 3 electrons are transferred has a $\Delta \mathrm{G}^0$ of $17.37 \mathrm{~kJ} \mathrm{~mol}^{-1}$ at $25^{\circ} \mathrm{C}$. The value of $...
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