question_answer

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

A) \[{{x}^{2}}+{{y}^{2}}-2=0\]

B) \[{{x}^{2}}+{{y}^{2}}+2=0\]

C) \[{{x}^{2}}+{{y}^{2}}+4=0\]

D) \[{{x}^{2}}+{{y}^{2}}-4=0\]