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Q.

Equation of a family of circles passing throughthe extremities of the latus rectum of the parabolay2=4ax,g being a parametric, is

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a

x2+y2+2g(y−2a)−5a2=0

b

x2+y2+2g(x+a)−5a2=0

c

x2+y2+2g(x−a)−∣5a2=0

d

x2+y2+2g(y+2a)−5a2=0

answer is C.

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Detailed Solution

Taking x=a in (c) we get  y=±2a for all valuesof g.
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