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The equation ${(x^{2} - a^{2})}^{2} + {(y^{2} - b^{2})}^{2} = 0$ represents points

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which are collinear

which lie on a circle with centre at (0, 0)

which lie on a circle with centre at (a, b)

none of these

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detailed solution

Correct option is B

We havex2−a22+y2−b22=0⇒ x2−a2=0 and y2−b2=0⇒x=±a and y=±b.Thus, the points are (a, b), (a, -b), (- a, b) and (- a, -b).Clearly, these points lie on a circle x2+y2=a2+b2 having centre at the origin.

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The equation x2−a22+y2−b22=0 represents points

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The equation ${(x^{2} - a^{2})}^{2} + {(y^{2} - b^{2})}^{2} = 0$ represents points