A variable plane at a constant distance p from origin meets the co-ordinates axes in \[A,B,C\]. Through these points planes are drawn parallel to co-ordinate planes. Then locus of the point of intersection is

\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}={{p}^{2}}\]

\[\frac{1}{{{x}^{2}}}+\frac{1}{{{y}^{2}}}+\frac{1}{{{z}^{2}}}=\frac{1}{{{p}^{2}}}\]

\[\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=p\]

A variable plane at a constant distance p from origin meets the co-ord

1.	A variable plane at a constant distance p from origin meets the co-ordinates axes in \[A,B,C\]. Through these points planes are drawn parallel to co-ordinate planes. Then locus of the point of intersection is
A.	\[\frac{1}{{{x}^{2}}}+\frac{1}{{{y}^{2}}}+\frac{1}{{{z}^{2}}}=\frac{1}{{{p}^{2}}}\]
B.	\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}={{p}^{2}}\]
C.	\[x+y+z=p\]
D.	\[\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=p\]
Answer» B. \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}={{p}^{2}}\]

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A variable plane at a constant distance p from origin meets the co-ordinates axes in \[A,B,C\]. Through these points planes are drawn parallel to co-ordinate planes. Then locus of the point of intersection is

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