Let any tangent plane to the sphere (x−a)2+(y−b)2+(z−c)2=r2 make – InterviewSolution

1.	Let any tangent plane to the sphere (x−a)2+(y−b)2+(z−c)2=r2 makes intercepts a,b,c with the coordinate axes at A,B,C respectively. If P is the centre of the sphere, then (ar. and vol. denote the area and volume respectively)
Answer» Let any tangent plane to the sphere $(x - a)^{2} + (y - b)^{2} + (z - c)^{2} = r^{2}$ makes intercepts $a, b, c$ with the coordinate axes at $A, B, C$ respectively. If $P$ is the centre of the sphere, then $($ $a r .$ and $v o l .$ denote the area and volume respectively $)$

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