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Equation of a family of circles passing through
the extremities of the latus rectum of the parabola
$y^{2} = 4 a x, g$ being a parametric, is

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x2+y2+2g(y−2a)−5a2=0

x2+y2+2g(x+a)−5a2=0

x2+y2+2g(x−a)−∣5a2=0

x2+y2+2g(y+2a)−5a2=0

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detailed solution

Correct option is C

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

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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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Ready to Test Your Skills?

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Equation of a family of circles passing through
the extremities of the latus rectum of the parabola
$y^{2} = 4 a x, g$ being a parametric, is