Home
Class 11
MATHS
The locust of the point of intersection ...

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.

A

circle

B

parabola

C

hyperbola

D

ellipse

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Prove that when lambda varies, the point of intersection of the lines xsqrt3-y-4sqrt3lambda=0 and sqrt3lambdax+lambday-4sqrt3=0 describes a hyperbola. Show that the eccentricity of this hyperbola is 2.

Solve: 4sqrt(3)x^(2)+5x-2sqrt(3)=0.

The equation of the line passing through the point of intersection of the lines 2x+y-4=0, x-3y+5 =0 and lying at a distance of sqrt5 units from the origin, is

If the straight lines 2x+ 3y -3=0 and x+ky +7 =0 are perpendicular, then the value of k is

Find the angle between the lines y=(2-sqrt3)(x+5) and y=(2+sqrt3)(x-7) .

The equation of a line passing through the point if intersection of the lines 4x-3y -1 =0 and 5x -2y -3 =0 and parallel to the line 2y -3x + 2 = 0 is

Select the correct option from the given alternatives.The angle between the line sqrt3x-y-2=0 and x-sqrt3y+1=0 is

(sqrt 3 + sqrt 2)^6 + (sqrt 3 - sqrt 2)^6 =

The lines represented by the equation x^(2)+2sqrt(3)xy+3y^(2)-3x-3sqrt(3)y-4=0 are