Mathematics · 2025
JEE Main · 2 April 2025, Shift 1 · Q1
Let the focal chord PQ of the parabola y^2=4 x make an angle of 60^° with the positive x axis, where P lies in the first quadrant. If the circle,…
Let the focal chord PQ of the parabola $\displaystyle y^2=4 x$ make an angle of $\displaystyle 60^{\circ}$ with the positive $\displaystyle x$ axis, where P lies in the first quadrant. If the circle, whose one diameter is PS, S being the focus of the parabola, touches the $\displaystyle y$-axis at the point $\displaystyle (0, \alpha)$, then $\displaystyle 5 \alpha^2$ is equal to :
Official answer
From NTA’s final answer key for this paper.
(1)
$\displaystyle 15$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.