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find equation of parabola having(4 , 8) and (4 , –8) as extremities of latus rectum .

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Let the equation of the parabola : y2 = 4ax 

Extremities of Latus – Rectum : 

L = (a,2a) = (4,8) 

L’ = (a,-2a) = (4,-8) …. Given 

On comparing : a = 4 

Hence equation of the parabola : 

y2 = 4ax 

y2 = 4(4)x 

y2 = 16x 

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