Question

find the length of the latus rectum of the parabola y²=4x​

Answer 1

Answer:

y2+4y+4=4x−4, rewrite above equation.

⇒(y+2)2=4(x−1)

Comparing with standard equation Y2=4aX.

Y=y+2,X=x−1,a=1.

Therefore length of latus rectum =4a=4⋅1=4.