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

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.

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

Prove that the locus of the point of intersection of the lines sqrt3 x -y -4 sqrt3 k =0 and sqrt3 k x+ ky - 4 sqrt3 =0, for different values of k, is a hyperbola whose eccentricity is 2.

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.

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.

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.

Prove that the locus of the point of iter section of the lines sqrt3x-y-4sqrt3k=0 and sqrt3kx+ky=4sqrt3 for different values of'k is hyperbola whose eccentricity is 2

Find the locus of the point of intersection of the lines sqrt(3x)-y-4sqrt(3 lambda)=0 and sqrt(3)lambda x+lambda y-4sqrt(3)=0 for different values of lambda.

The locus of the point of intersection of the lines sqrt(3)x-y-4sqrt( 3) k =0 and kxsqrt(3) +ky -4sqrt(3) =0 is a hyperbola of eccentricity