A square is inscribed in the circle x^2 + y^2 - 2x - 4y = 0 whose sides are parallel to the axes of reference. A vertex of the square is

JEE Advanced Mathematics question

A square is inscribed in the circle whose sides are parallel to the axes of reference. A vertex of the square is

(A)
(B)
(C)Correct
(D)

Answer: (C)

Solution

The circle is : centre , radius . Shifting the origin to the centre, a square with sides parallel to the axes has vertices ; its diagonal equals the diameter , so . In the original coordinates the

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Question ID VK-110058