Three Dimensional Geometry Question 20

Question: Equation $ ax^{2}+by^{2}+cz^{2}+2fyz+2gxz+2hxy $ $ +2ux+2vy+2wz+d=0 $ represents a sphere, if

[MP PET 1990]

Options:

A) $ a=b=c $

B) $ f=g=h=0 $

C) $ v=u=w $

D) $ a=b=c $ and $ f=g=h=0 $

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Answer:

Correct Answer: D

Solution:

It is obvious.