show that the length of the axes of the section of the ellipsoid x^2/a^2+y^2/b^2+z^2/c^2=1 by the plane lx+ my+ nz=p is given by the equation l^2/1-r^2/a^2+m^2 /1- r^2/b^2+ n^2/1- r^2/ c^2=0
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