Question:medium

The locus of centre of a circle which passes through the origin and cuts off a length of 4 unit from the line $x=3$ is

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Use the geometric relation $R^2 = p^2 + (L/2)^2$ where $p$ is perpendicular distance to a line and $L$ is chord length.

Updated On: Apr 10, 2026

$y^2+6x=0$
$y^2+6x=13$
$y^2+6x=10$
$x^2+6y=13$

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The Correct Option is B

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The locus of centre of a circle which passes through the origin and cuts off a length of 4 unit from the line $x=3$ is

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The Correct Option is B

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