Question
Mathematics Question on Geometric Progression
The shortest distance from the point (1, 2, -1) to the surface of the sphere x2 + y2 + z2 = 54 is
A
(A) 36
B
(B) 26
C
(C) 6
D
(D) 2
Answer
(B) 26
Explanation
Solution
Explanation:
The equation of sphere isx2+y2+z2=54The centre and radius of this sphere are (0,0,0) and 54, ie, 36Distance between (1,2,-1) and (0,0,0) is6∴ Shortest distance between point (1,2,-1) and surface of the sphere =36−6=26