Question

Find the equation of latus rectum of parabola y^2=100x.

(a) x=25

(b) x=-25

(c) y=25

(d) y=-25

The question was posed to me by my school teacher while I was bunking the class.

I want to ask this question from Conic Sections topic in chapter Conic Sections of Mathematics – Class 11

Answer 1

Right answer is (a) x=25

The best explanation: Comparing equation with y^2=4ax.

4a=100 => a=25. Line passing through focus perpendicular to axis is latus rectum.

Equation of latus rectum is x=a => x=25.