Question

if (a,b)is the mid point of a chord passing through the vertex of the parabola y²=4x then a=?​

Answer 1

Answer:

a= b^2/2 or 2a

Step-by-step explanation:

Given equation of parabola is y^2=4x

Let P(t^2 ,2t) be the other end-point of the chord of the parabola.

Then, a=t^2/2 and b= 2t/2

⇒a= b^2/2

or b^2  =2a