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QJEE MAIN 2024
There are 5 points $\mathrm{P}_1, \mathrm{P}_2, \mathrm{P}_3, \mathrm{P}_4, \mathrm{P}_5$ on the side AB , excluding A and B , of a triangle ABC . Similarly...
JEE MainMathematicsEasy
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QJEE MAIN
Let $\vec{a}, \vec{b}$ and $\overrightarrow{\mathrm{c}}$ be three non-zero vectors such that $\vec{b}$ and $\vec{c}$ are non-collinear if $\vec{a}+5 \vec{b}$is collinear with$\vec{c}, \vec{b}+6 \vec{c}$ is collinear...
JEE MainMathematicsMedium
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QJEE MAIN 2024
If the system of equations $$ \begin{aligned} & x+(\sqrt{2} \sin \alpha) y+(\sqrt{2} \cos \alpha) z=0 \\ & \mathrm{x}+(\cos \alpha) \mathrm{y}+(\sin \alpha) \mathrm{z}=0 \\ & \mathrm{x}+(\sin...
JEE MainMathematicsEasy
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QJEE MAIN 2024
If y=y(x) is the solution of the differential equation dydx+2y=sin(2x),y(0)=34, then y8 is equal to :
JEE MainMathematicsEasy
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QJEE MAIN 2024
One of the points of intersection of the curves $y=1+3 x-2 x^2$ and $y=\frac{1}{x}$ is $\left(\frac{1}{2}, 2\right)$. Let the area of the region enclosed by...
JEE MainMathematicsEasy
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QJEE MAIN
The pressure and volume of an ideal gas are related as (Constant). The work done when the gas is taken from state to state is...
JEE MainPhysicsMedium
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QJEE MAIN
Two charged conducting spheres of radii a and b are connected to each other by a conducting wire. The ratio of charges of the two...
JEE MainPhysicsEasy
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QJEE MAIN 2024
Let the sum of the maximum and the minimum values of the function $f(x)=\frac{2 x^2-3 x+8}{2 x^2+3 x+8}$ be $\frac{m}{n}$, where $\operatorname{gcd}(\mathrm{m}, \mathrm{n})=1$. Then $\mathrm{m}+\mathrm{n}$...
JEE MainMathematicsEasy
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QJEE MAIN 2024
If the solution $y=y(x)$ of the differential equation $\left(x^4+2 x^3+3 x^2+2 x+2\right) d y-\left(2 x^2+2 x+3\right) d x=0$ satisfies $y(-1)=-\frac{\pi}{4}$, then $y(0)$ is equal to:
JEE MainMathematicsHard
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QJEE MAIN
The output Y of following circuit for given inputs is :
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