If ax+by+cz=d intersects the coordinate axis at A, B, C and the area o – InterviewSolution

1.	If ax+by+cz=d intersects the coordinate axis at A, B, C and the area of the triangle ABC is (a2+b2)√2(a2+c2+b2)a2b2(a2+b2). If a2, c2, b2 are in A.P. then find the perpendicular distance of the plane from the origin.
Answer» If $a x + b y + c z = d$ intersects the coordinate axis at $A, B, C$ and the area of the triangle $A B C$ is $(a^{2} + b^{2}) \sqrt{\frac{2 (a^{2} + c^{2} + b^{2})}{a^{2} b^{2} (a^{2} + b^{2})}}$ . If $a^{2}, c^{2}, b^{2}$ are in A.P. then find the perpendicular distance of the plane from the origin.

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