`If (-1,-2sqrt2)`is one of exteremity of a focal chord of the parabola `y^(2)=-8x,` then the other extremity is

Options

A. `(-1,-sqrt2)`
B. `(2sqrt2,-1`
C. `(-4,4sqrt2,`
D. `(4,4sqrt2)`

Answer

C

Explanation

Given,`y^(2)=-8x` here, a=-2 we know that, if one end of a focal chord is (at^(2), 2at, ) then the other end will be `((a)/(f^(2)),-(2a)/(t))` here, one end is `(-,2sqrt(2/2)).
`therefore at^(2)=-rArrt=1/sqrt2` so, other end = `((-2)/(1/2),(2x-2)/(1/sqrt(2)))=(-4,4sqrt2)`