SATHEE: Three Dimensional Geometry Question 25

Three Dimensional Geometry Question 25

Question: The locus of the equation $ x^{2}+y^{2}+z^{2}+1=0 $ is

Options:

A) An empty set

B) A sphere

C) A degenerate set

D) A pair of planes

Show Answer

Answer:

Correct Answer: A

Solution:

An empty set. $ (\because x^{2}+y^{2}+z^{2}+1=0 $ is not possible for any real value of x)

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Three Dimensional Geometry Question 25

Question: The locus of the equation $ x^{2}+y^{2}+z^{2}+1=0 $ is

Options:

Answer:

Solution:

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