Three Dimensional Geometry Question 28

Question: Let (3, 4, ?1) and (?1, 2, 3) are the end points of a diameter of sphere. Then the radius of the sphere is equal to

[Orissa JEE 2003]

Options:

A) 1

B) 2

C) 3

D) 9

Show Answer

Answer:

Correct Answer: C

Solution:

$ d=\sqrt{{{(-1-3)}^{2}}+{{(2-4)}^{2}}+{{(3+1)}^{2}}} $ = $ \sqrt{16+4+16} $ $ =\sqrt{36}=6 $
So, radius $ r=\frac{d}{2}=\frac{6}{2}=3. $