Three Dimensional Geometry Question 24
Question: Under what condition does the equation $ x^{2}+y^{2}+z^{2}+2uc+2uy+2wz+d=0 $ represent a real sphere?
Options:
A) $ u^{2}+v^{2}+w^{2}=d^{2} $
B) $ u^{2}+v^{2}+w^{2}>d $
C) $ u^{2}+v^{2}+w^{2}<d $
D) $ u^{2}+v^{2}+w^{2}<d^{2} $
Show Answer
Answer:
Correct Answer: B
Solution:
[b] Equation $ x^{2}+y^{2}+z^{2}+2ux+2vy+2wz+d=0 $ Represent a real sphere if $ u^{2}+v^{2}+w^{2}>d $