Question

If the $x$-intercept of a focal chord of the parabola $y^2=8 x+4 y+4$ is 3 , then the length of this chord is equal to ___

Answer 1

The correct answer is 16.
y2=8x+4y+4
(y−2)2=8(x+1)
y2=4ax
a=2,X=x+1,Y=y−2
focus (1,2)
y−2=m(x−1)
Put (3,0) in the above line m=−1
Length of focal chord =16