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A variable plane passes through a fixed point `(alpha,beta,gamma)` and meets the axes at `A ,B ,a n dCdot` show that the locus of the point of intersection of the planes through `A ,Ba n dC` parallel to the coordinate planes is `alphax^(-1)+betay^(-1)+gammaz^(-1)=1.`

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CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
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