Identify the standard Cartesian equation of a sphere with centre and radius .

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

Problem

Identify the standard Cartesian equation of a sphere with centre (a,b,c)(a,b,c) and radius rr. (a) (x+a)2+(y+b)2+(z+c)2=r2(x+a)^2+(y+b)^2+(z+c)^2=r^2 (b) (x−a)2+(y−b)2+(z−c)2=r2(x-a)^2+(y-b)^2+(z-c)^2=r^2 (c) (x−a)2+(y−b)2+(z−c)2=r(x-a)^2+(y-b)^2+(z-c)^2=r (d) x2+y2+z2=r2x^2+y^2+z^2=r^2

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