A circle is drawn on the chord of a circle x^2+y^2=a^2 as diameter. The chord lies on the line x+y=a. What is the equation of the circle?

NDA 2019 Mathematics question

A circle is drawn on the chord of a circle as diameter. The chord lies on the line . What is the equation of the circle?

Answer: (B)

The line meets where , i.e. at and

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Question ID VK-035397