The locus of the point of intersection on the line \sqrt{3} x-y-4 \sqrt{3} k=0 and \sqrt{3} k x+k y-4 \sqrt{3}=0 for different real values of k is a hyperbola {H}. If {e} is the eccentricity of {H} then 4 {e}^{2}=

AP EAPCET 07-Jul-2022 Shift 2 Paper

Section: Mathematics

Question : 55 of 160

Marks: +1, -0

The locus of the point of intersection on the line √3x−y−4√3k=0 and √3kx+ky−4√3=0 for different real values of k is a hyperbola H. If e is the eccentricity of H then 4e2=

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