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The locus of the point of intersection o...

The locus of the point of intersection of lines `sqrt3x-y-4sqrt(3k)`=0 and `sqrt3kx+ky-4sqrt3=0` for different value of k is a hyperbola whose eccentricity is 2.

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The locust of the point of intersection of lines sqrt3x-y-4sqrt(3k) =0 and sqrt3kx+ky-4sqrt3=0 for different value of k is a hyperbola whose eccentricity is 2.

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Prove that the locus of the point of intersection of the lines sqrt(3)x - y - 4 sqrt(3)k = 0 and sqrt(3)kx + ky - 4sqrt(3) = 0 for differenet values of k is a hyperbola whose eccentericity is 2.

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