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Question

If y2+2yx+5=0 represents a parabola, then the length (in units) of the latus rectum is

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Solution

Given : y2+2yx+5=0
y2+2y+1=x4
(y+1)2=(x4)
Comparing with standard equation of parabola Y2=4aX,
4a=1
Length of latus rectum =4a=1 unit

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