Points and are the endpoints of a diameter of a sphere

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

Problem

Points A(1,2,3)A(1,2,3) and B(5,−2,3)B(5,-2,3) are the endpoints of a diameter of a sphere. Which of the following is the equation of this sphere? (a) (x+3)2+y2+(z+3)2=8(x+3)^2+y^2+(z+3)^2=8 (b) (x−3)2+y2+(z−3)2=8(x-3)^2+y^2+(z-3)^2=8 (c) (x−3)2+y2+(z−3)2=32(x-3)^2+y^2+(z-3)^2=32 (d) (x−6)2+y2+(z−6)2=8(x-6)^2+y^2+(z-6)^2=8

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