14. If the original axes are rectangular, prove that the substitutions
(G.N.D.U. 2013)
XYZ + 2X Z x= 2= XY Z + give a transformation x + y + z = 0 is transformed
to another set of rectangular axes in which the plane to Z = 0, and hence prove that the section of the surface xy+yz+zx+1=0 by the plane x + y + z = 0 is a circle of radius √2.
(G.N.D.U. 2014)
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