Q 2440201113.     If the sum of the squares of the distances of the
point `(x, y, z)` from the points `(a, 0, 0)` and `(-a, 0, 0)`
is `2c^2` , then which one of the following is correct?

NDA 2007 Paper 1 April
A

`x^2 + a^2 = 2c^2 - y^2- z^2`

B

`x^2 + a^2 = c^2 - y^2 - z^2`

C

` x^2 - a^2 = c^2 - y^2 - z^2`

D

`x^2 + a^2 = c^2 + y^2 + z^2`

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