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A variable plane passes through a fixed ...

A variable plane passes through a fixed point (a,b,c) and meets the co-ordinate axes at A,B,C. Show that the locus of the point common to the planes drawn through A,B and C parallel to the co-ordinate planes is `a/x+b/y+c/z=1`

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USHA PUBLICATION-VECTORS THREE DIMENSIONAL GEOMETRY -EXERCISE
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