Q.

For all values of a, equation of a diameter  of the circle  x2+y2−2ax+2ay+a2=0 is

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a

x+y=a

b

x−y=a

c

x+y=2a

d

x−y=2a

answer is D.

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Detailed Solution

Centre of the circle is (a, – a)  and the line x – y = 2a passes through it. So it is a diameter of the given circle.
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