Home
Class 11
MATHS
Prove that when lambda varies, the point...

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.

Promotional Banner

Similar Questions

Explore conceptually related problems

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 point of intersection of the line (x-1)/3=(y+2)/4=(z-3)/-2 and the plane 2x-y+3z-1=0 , is

The plane 2lambdax-(1+lambda)y+3z=0 passes through the intersection of the planes

Equation of the hyperbola with eccentricity 3/2 and foci at (±2,0) is

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

Find the equation of the line passing through the point of intersection of the lines x+2y-5=0 and 3x+7y-17=0 and is perpendicular to the line 3x+4y-10=0

Find the eccentricity of the hyperbola wich is conjugate to the hyperbola x^2-3y^2=3 .

If the latus rectum of an hyperbola be 8 and eccentricity be (3)/( sqrt5) the the equation of the hyperbola is

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