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Question

Question: Equation \[ax^{2} + by^{2} + cz^{2} + 2fyz + 2gxz + 2hxy + 2ux + 2vy + 2wz + d = 0\] represents a ...

Equation

ax2+by2+cz2+2fyz+2gxz+2hxy+2ux+2vy+2wz+d=0ax^{2} + by^{2} + cz^{2} + 2fyz + 2gxz + 2hxy + 2ux + 2vy + 2wz + d = 0

represents a sphere, if

A

a=b=ca = b = c

B

f=g=h=0f = g = h = 0

C

v=u=wv = u = w

D

a=b=ca = b = c and f=g=h=0f = g = h = 0

Answer

a=b=ca = b = c and f=g=h=0f = g = h = 0

Explanation

Solution

It is obvious.