Question

Find the coordinates of the focus and the vertex, the equations of the directrix and the axis, and length of the latus rectum of the parabola:
(i) `y^(2)=-8x` (ii)`y^(2)=-6x` (iii)`5y^(2)=-16x`

Answer 1

`(i)F(-2,0), O(0,0), x=2, y=0,8"units"`
`(ii)F((-3)/(2),0), O(0,0), 2x-3=2, y=0,6"units"`
`(iii)F((-4)/(5),0), O(0,0), 5x-4=0, y=0,(16)/(5)"units"`