Q. 24.9( 9 Votes )

# Find the coordinates of the focus, axis, the equation of the directrix and latus rectum of the parabola y^{2} = 8x.

Answer :

Consider y^{2} = 8x,

Here axis of symmetry is x- axis.

Comparing with y^{2} = 4ax

4ax = 8x

a = 2

So, focus is (2,0) and equation of directrix is x = -2.

Length of latus rectum = 4a

= 8

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