The ends of a quadrant of a circle have the coordinates (1,3) and (3,1). Then the centre of such a circle is

JEE Advanced Mathematics question

The ends of a quadrant of a circle have the coordinates and . Then the centre of such a circle is

Answer: (B)

Let the centre be . The two ends of a quadrant are equidistant from the centre and the radii to them are perpendicular.

Equal radii: .

Perpendicular radii:

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Question ID VK-109919