1.

A plane cutting the axes in P, Q, R passes through (alpha-beta, beta-gamma, gamma-alpha). If O is the origin, then locus of centre of sphere OPQR is

Answer»

`alphax+betay+gammaz=4`
`(alpha-beta)X+(beta-gamma)y+(gamma-alpha)z=0`
`(alpha-beta)yz+(beta-gamma)zx+(gamma-alpha)xy=2xyz`
`((1)/(alpha^2)+(1)/(beta^2)+(1)/(gamma^2))(x^2+y^2+z^2)=xyz`

Answer :(C)


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