The endpoints of a diameter of a sphere are and

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

Problem

The endpoints of a diameter of a sphere are A(−1,2,3)A(-1,2,3) and B(5,−4,1)B(5,-4,1). Which one of the following is the correct equation of the sphere? (a) (x+2)2+(y−1)2+(z+2)2=19(x+2)^2 + (y-1)^2 + (z+2)^2 = 19 (b) (x−2)2+(y+1)2+(z−2)2=76(x-2)^2 + (y+1)^2 + (z-2)^2 = 76 (c) (x−2)2+(y+1)2+(z−2)2=19(x-2)^2 + (y+1)^2 + (z-2)^2 = 19 (d) (x−2)2+(y−1)2+(z−2)2=19(x-2)^2 + (y-1)^2 + (z-2)^2 = 19

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