Parabola Question 7
Question 7 - 01 February - Shift 2
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
Show Answer
Answer: (16)
Solution:
Formula: Lenght of Focal chord
$y^{2}=8 x+4 y+4$
$(y-2)^{2}=8(x+1)$
$y^{2}=4 ax$
$a=2, X=x+1, Y=y-2$
focus $(1,2)$
$y-2=m(x-1)$
Put $(3,0)$ in the above line
$m=-1$
Length of focal chord $=16$
