Get chapter-wise JEE Main & Advanced questions with solutions
Q_JEE MAIN_2022
A point P moves so that the sum of squares of its distances from the points (1, 2) and (–2, 1) is 14. Let f(x,...
JEE MainMathematicsMedium
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QJEE MAIN 2022
A line, with the slope greater than one, passes through the point $A(4,3)$ and intersects the line $x-y-2=0$ at the point $B$. If the length...
JEE MainMathematicsMedium
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QJEE MAIN 2022
If the system of linear equations $2 x-3 y=\gamma+5, \alpha x+5 y=\beta+1$ where $\alpha, \beta, \gamma \in \mathbf{R}$ has infinitely many solutions, then the value...
JEE MainMathematicsEasy
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QJEE MAIN 2022
The distance of the origin from the centroid of the triangle whose two sides have the equations $x-2 y+1=0$ and $2 x-y-1=0$ and whose orthocenter...
JEE MainMathematicsEasy
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QJEE MAIN 2022
Let a triangle be bounded by the lines $L_{1 i} 2 x+5 y=10 ; L_{2 i}-4 x+3 y=12$ and the line $L_3$, which passes through...
JEE MainMathematicsEasy
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QJEE MAIN 2022
Let the area of the triangle with vertices $\mathrm{A}(1, \alpha), \mathrm{B}(\alpha, 0)$ and $\mathrm{C}(0, \alpha)$ be 4 sq. units. If the point $(\alpha,-\alpha),(-\alpha, \alpha)$ and...
JEE MainMathematicsEasy
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QJEE MAIN 2022
The distance between the two points $A$ and $A^{\prime}$ which lie on $y=2$ such that both the line segments $A B$ and $A^{\prime} B$ (where...
JEE MainMathematicsEasy
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QJEE MAIN 2022
A ray of light passing through the point $P(2,3)$ reflects on the $x$-axis at point $A$ and the reflected ray passes through the point $Q(5,4)$....
JEE MainMathematicsMedium
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QJEE MAIN 2022
In an isosceles triangle $A B C$, the vertex $A$ is $(6,1)$ and the equation of the base $B C$ is $2 x+y=4$. Let the...
JEE MainMathematicsMedium
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QJEE MAIN 2022
Let $A\left(\frac{3}{\sqrt{a}}, \sqrt{a}\right) a>0$ be a fixed point in the $x y$-plane. The image of $A$ in $y$-axis be $B$ and the image of $B$...
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