Question

Find the area of triangle formed by the lines joining the vertex of the parabola $x^2$ = 16y to the ends of latus rectum.

Answer 1

Equate with the standard equation of parabola $y^2$ = 4ax
Latus rectum length = 16
The distance between vertex to focus is a = 4
So, area = $\frac{1}{2}\times 16\times 4$ = 32 sq. units