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

The locus of the point of intersection of the lines sqrt(3)x-y-4sqrt(3)lambda=0 and sqrt(3)lambda x+lambda y-4sqrt(3)=0 is a hyperbola of eccentricity 1 b.2 c.3 d.4

The locus of the point of intersection of the lines sqrt(3)x-y-4sqrt(3)lambda=0\ a n d\ sqrt(3)lambdax+lambday-4sqrt(3)=0 is a hyperbola of eccentricity a. 1 b. 2 c. 3 d. 4

The locus of the point of intersection of the lines (sqrt(3))kx+ky-4sqrt(3)=0 and sqrt(3)x-y-4(sqrt(3))k=0 is a conic, whose eccentricity is ____________.

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.

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.

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.

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