Let the directrix of the parabola $\mathrm{P}: \mathrm{y}^2=8 x$, cut $x$-axis at the point $A$ . Let $\mathrm{B}(\alpha, \beta), \alpha1$, be a point on $P$ such that the slope of $A B$ is $\frac{3}{5}$. If $B C$ is a focal chord of $P$, then six times the area of $\triangle A B C$ is: [JEE Main 2026, 5 Apr (Shift 2)]

Question

Let the directrix of the parabola $\mathrm{P}: \mathrm{y}^2=8 x$, cut $x$-axis at the point $A$ . Let $\mathrm{B}(\alpha, \beta), \alpha>1$, be a point on $P$ such that the slope of $A B$ is $\frac{3}{5}$. If $B C$ is a focal chord of $P$, then six times the area of $\triangle A B C$ is: [JEE Main 2026, 5 Apr (Shift 2)]

YESPYQ · Accepted Answer

Options are free to see. Unlock the correct answer and full explanation with PYQ Pass.

Let the directrix of the parabola \(\mathrm{P}: \mathrm{y}^2=8 x\), cut \(x\)-axis at the point \(A\) . Let \(\mathrm{B}…

Practice more JEE Maths PYQs