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A point P moves on the plane (x)/(a)+(y)...

A point P moves on the plane `(x)/(a)+(y)/(b)+(z)/(c)=1`. The plane, drawn through prependicular to OP meets the axes in L,M,N. the palnes through L,M,N, parallel to the coordinate plane meet in a point Q, then show that the locus of Q is given by the equation : `x^(-2)+y^(-2)z^(-2)=(1)/(ax)+(1)/(by)+(1)/(cz)`.

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