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For all values of a, equation of a diameter
of the circle $x^{2} + y^{2} - 2 a x + 2 a y + a^{2} = 0$ is

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x+y=a

x−y=a

x+y=2a

x−y=2a

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detailed solution

Correct option is D

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

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

For all values of a, equation of a diameter
of the circle $x^{2} + y^{2} - 2 a x + 2 a y + a^{2} = 0$ is