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Question

If parabola y2=4ax passes through the point (9,12) then find the length of latus rectum and coordinates of focus.

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Solution

y2=4ax passes through (9,12)
(12)2=4a(9)
a=144364
focus of parabola be (a,0)
focus =(4,0)
Length of latus Rectum =4a
=4×4
= 16 Units

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