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Locus of a point through which three normals of parabola y2=4ax are passing, two of which are making angles α and β with positive x− axis and tanα⋅tanβ=2 is

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Locus of a point through which three normals of parabola y2=4ax are passing, two of which are making angles α and β with positive x axis and tanαtanβ=2 is



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