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If the length of the latus rectum of y2 = 8kx is 4 find k

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Compare y2 = 8kx with y2 = 4ax 

We get 4a = 8k ⇒ a = 2k 

Given length of LR = 4 

4a = 4 ⇒ 8k = 4 ⇒ k = \(\frac{1}{2}\)

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