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Question: Let (3, 4, –1) and (–1, 2, 3) are the end points of a diameter of sphere. Then the radius of the sph...

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

A

1

B

2

C

3

D

9

Answer

3

Explanation

Solution

d=(13)2+(24)2+(3+1)2d = \sqrt { ( - 1 - 3 ) ^ { 2 } + ( 2 - 4 ) ^ { 2 } + ( 3 + 1 ) ^ { 2 } } = 16+4+16\sqrt { 16 + 4 + 16 } =36=6= \sqrt { 36 } = 6

So, radius