A point moves in such a way that the sum of square of its distance from the points A(2, 0) and B(-2, 0) is always

equal to the square of the distance between A and B. The locus of the point is

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Solution

The correct option is D

$(x - 2)^{2} + y^{2} + (x + 2)^{2} + y^{2} = 16 \Rightarrow x^{2} + y^{2} = 4$ .

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A point moves in such a way that the sum of square of its distance from the points A(2, 0) and B(-2, 0) is always equal to the square of the distance between A and B. The locus of the point is

The correct option is D (x−2)2+y2+(x+2)2+y2=16⇒x2+y2=4.

A point moves in such a way that the sum of square of its distance from the points A(2, 0) and B(-2, 0) is always

equal to the square of the distance between A and B. The locus of the point is

The correct option is D

$(x - 2)^{2} + y^{2} + (x + 2)^{2} + y^{2} = 16 \Rightarrow x^{2} + y^{2} = 4$ .