1.

Find the coordinates of focus, directrix and latus rectum of parabola y2 = 8x.

Answer»

Equation of parabola y2 = 8x compare with the standard form 

y2 = 4ax ∴ 4a = 8 ∴ a = 2 

∴ focus = (a, 0) = (2, 0) 

Equation of directrix : x = -a. 

x = -2 or [x + 2 = 0] 

Latus rectum = 4a = 8



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