A circle with centre $(a, b)$ passes through the origin. The equation of the tangent to the circle at the origin is

a x - b y = 0

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a x + b y = 0

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b x - a y = 0

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b x + a y = 0

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Solution

The correct option is B $a x + b y = 0$

Equation of circle passing through origin with centre $(a, b)$ is
$S : x^{2} + y^{2} - 2 a x - 2 b y = 0$

Tangent at $(0, 0)$ to $S$ is,
$- a x - b y = 0 \Rightarrow a x + b y = 0$

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