1.

Find the co-ordinate of the focus, equation of the directrix and length of the Latus Rectum of the 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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