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Q.

The equation of a locus is  y2+2ax+2by+c=0, then

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a

It is an ellipse

b

It is a parabola

c

Its latus-rectum =a

d

Its latus- rectum =2a

answer is B, D.

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Detailed Solution

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y2+2ax+2by+c=0

y+b2=−2ax+b2−c

=−2ax−b22a+c2a

It is parabola, latus rectum =2a

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