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PARABOLA

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2025
Let $r$ be the radius of the circle, which touches $x$ - axis at point $(a, 0), a<0$ and the parabola $y^2=9 x$ at the...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let a die be rolled $n$ times. Let the probability of getting odd numbers seven times be equal to the probability of getting odd numbers...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
Let the point P of the focal chord PQ of the parabola $y^2=16 x$ be $(1,-4)$. If the focus of the parabola divides the chord...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
The axis of a parabola is the line $y=x$ and its vertex and focus are in the first quadrant at distances $\sqrt{2}$ and $2 \sqrt{2}$...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
The shortest distance between the curves $y^2=8 x$ and $x^2+y^2+12 y+35=0$ is:
JEE Main Mathematics Medium
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Q JEE MAIN 2023
A bag contains 6 white and 4 black balls. A die is rolled once and the number of balls equal to the number obtained on...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let $P Q$ be a focal chord of the parabola $y^2=36 x$ of length 100 , making an acute angle with the positive $x$-axis. Let...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
A coin is biased so that the head is 3 times as likely to occur as tail. This coin is tossed until a head or...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let a common tangent to the curves $y^2=4 x$ and $(x-4)^2+y^2=16$ touch the curves at the points $P$ and $Q$. Then $(P Q)^2$ is equal...
JEE Main Mathematics Easy
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Q JEE MAIN 2023
Let R be the focus of the parabola $\mathrm{y}^2=20 \mathrm{x}$ and the line $\mathrm{y}=m \mathrm{x}+c$ intersect the parabola at two points $P$ and $Q$. Let...
JEE Main Mathematics Hard
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