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in Parabola by (65.5k points)

If the length of the latus rectum of x2 = 4ky is 8, find the value of k.

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Best answer

Compare x2 = 4ky with x2 = 4ay. 

We get 4k = 4a ⇒ a = k 

Given length of LR = 8 

4a = 8 4k = 8 k = 2.

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