A variable plane is at a constant distance ' \( p \) ' from the ori...

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A variable plane is at a constant distance ' \( p \) ' from the origin cuts the co-ordinate axes in A, B, C. Through A, B, C planes are drawn parallel to the co-ordinate planes. Show that the locus of their point of intersection is :
\[
x^{-2}+y^{-2}+z^{-2}=p^{-2} \text {. }
\]
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