Maths Question 24 – JEE-MAIN 2026

Let A, B and C be the vertices of a variable right angled triangle inscribed in the parabola $y^2=16x$. Let the vertex B containing the right angle be $(4,8)$ and the locus of the centroid of $\mathrm{△}ABC$ be a conic $C_0$. Then three times the length of latus rectum of $C_0$ is _________