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the shortest distance from the point 1 2 1 to the
Question:
The shortest distance from the point (1, 2, -1) to the surface of the sphere x
2
+ y
2
+ z
2
= 54 is
WBJEE
Updated On:
Apr 26, 2024
(A)
3
6
(B)
2
6
(C)
6
(D) 2
Show Solution
Verified By Collegedunia
The Correct Option is
B
Solution and Explanation
Explanation:
The equation of sphere is
x
2
+
y
2
+
z
2
=
54
The centre and radius of this sphere are (0,0,0) and
54
,
ie,
3
6
Distance between (1,2,-1) and (0,0,0) is
6
∴
Shortest distance between point (1,2,-1) and surface of the sphere
=
3
6
−
6
=
2
6
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