Equation of the circle passing through $(0, 0), (0, a)$ and $(a, 0)$ is

x^{2} + y^{2} + a x +

= 0

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x^{2} + y^{2} - a x - a y = 0

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x^{2} + y^{2} - a x +

= 0

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x^{2} + y^{2} +

ax - ay

= 0

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Solution

The correct option is B $x^{2} + y^{2} - a x - a y = 0$
Angle in semi circle is right angle
$∴$ (a,0) and (0,a) are extremities of diameter.
So, $(x - a) x + (y - a) y = 0$ [ from point (b)]
$\Rightarrow x^{2} + y^{2} - a x - a y = 0$

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