Which of the following point lies inside the sphere x2+ y2 - 4x - 6y + 8y -7 = 0?
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a
(1, -2, 1)
b
(0, 0, 3)
c
(0, 1,2)
d
(1,2,0)
answer is D.
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Detailed Solution
Centre of the sphere is c (2, 3, 4) and radius is r=4+9+16−(−7)=6For point P(1,2,0),CP=1+1+16=18<6So, point P(1, 2,0) lies inside the sphere. For other points, we have CP > 6.