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Consider a circle passing through the origin and the points `(a, b)` and `(-b,-a).` On which line does the centre of the circle lie? What is the sum of the squares of the intercepts cut-off by the circle on the axes?

A

x + y = 0

B

x - y = 0

C

x + y = a + b

D

x - y = `a^(2) - b^(2)`

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The correct Answer is:
A
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