Three Dimensional Geometry Question 355

Question: The radius of the circle in which the sphere $ x^{2}+y^{2}+z^{2}+2x-2y-4z-19=0 $ is cut by the plane $ x+2y+2z+7=0 $ is

[AIEEE 2003]

Options:

A) 1

B) 2

C) 3

D) 4

Show Answer

Answer:

Correct Answer: C

Solution:

$ p=\frac{-1+2+4+7}{\sqrt{1+4+4}}=\frac{12}{3}=4 $
\ $ r=\sqrt{25-16}=3. $