JEE Main 2025 — Parabola Question with Solution
JEE Main 2025 (29 Jan Shift 1)
Question
Two parabolas have the same focus and their directrices are the -axis and the -axis, respectively. If these parabolas intersects at the points and , then is equal to :
Choose an option
Show full solutionCorrect option: C
Correct answer
C192
Step-by-step explanation
The parabolas are
...(i)
and ...
If point of intersection are and By solving (i) and (ii), we get
$\begin{aligned}
& x_1+x_2=14 \text { and } x_1 x_2=25 \\
& (A B)^2=2\left(\left(x_1+x_2\right)^2-4 x_1 x_2\right)=192
\end{aligned}$
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