JEE Main 2024 (9 Apr, Shift 2) Maths Q28: Conic Sections

Question

Let $A$, $B$ and $C$ be three points on the parabola $y^2=6x$ and let the line segment $AB$ meet the line $L$ through $C$ parallel to the $x$-axis at the point $D$. Let $M$ and $N$ respectively be the feet of the perpendiculars from $A$ and $B$ on $L$. Then $\left(\frac{AM\cdot BN}{CD}\right)^2$ is equal to __________.

Accepted Answer

36

JEE Main 9 April 2024, Shift 2, Maths Q28