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. $