The set describes which region in space?

MATHEMATICS · Single correct · CBSE · Mathematics · Introduction to Three-Dimensional Geometry · Introduction to Three-Dimensional Geometry

Problem

The set T={(x,y,z)∣(x−1)2+(y+2)2+z2≥49}T=\{(x,y,z)\mid (x-1)^2+(y+2)^2+z^2\ge 49\} describes which region in space? (a) Only the spherical surface of radius 77 centred at (1,−2,0)(1,-2,0) (b) The exterior (including surface) of a sphere of radius 77 centred at (1,−2,0)(1,-2,0) (c) The interior (including surface) of a sphere of radius 77 centred at (1,−2,0)(1,-2,0) (d) The exterior (including surface) of a sphere of radius 77 centred at (0,0,0)(0,0,0)

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