Under what condition does the equation x^2+y^2+z^2+2 u x+2 v y+2 … - Vidyadip

MCQ

Under what condition does the equation $x^2+y^2+z^2+2 u x+2 v y+2 w z+d$ represent a real sphere:

A
$u^2+v^2+w^2=d^2$
✓
$u^2+v^2+w^2>d$
C
$u^2+v^2+w^2<d$
D
$u^2+v^2+w^2<d^2$

✓

Answer

Correct option: B.

$u^2+v^2+w^2>d$

$u^2+v^2+w^2>d$

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