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Angle Subtended by Diameter on the Circle

The centre of...

Question

The centre of the circle passing through (0, 0) and (1, 0) and touching the circle $(x^2 + y^2 = 9\)$

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Solution

The correct option is B

If two circles touch and one of them passes through the centre (0, 0) of the other then they must touch

internally.

$∴ C_{1} C_{2} = r_{1} - r_{2}$

Also, $C_{1} C_{2} = r_{2}$

$∴ r_{2} = r_{1} - r_{2}$

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