Locus of foot of perpendicular drawn fro...

Locus of foot of perpendicular drawn from the centre `(0,0)` to any tangent on the ellipse `kx^(2)+3y^(2)=2` is `3kx^(2)+4y^(2)-6(x^(2)+y^(2))^(2)=0` then the value of `(1)/(e^(2))`( where `e` is eccentricity of the ellipse) is ......

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