A. k(x3-y3-a3-b2)=2xy
B. k(x2-y2-a2+b2)=4xy
C. k(x2-y2-a2-b2)=2xy
D. k(x2+y2+a2-b2)=2xy
The area (in square units) of the equilateral triangle formed by the tangent at (√3, 0) to the hyperbola x2-3y2=3 with the pair of a asymptotes of the hyperbola is
The equation of the hyperbola with its transverse axis is parallel to y-axis, and its centre is (2,-3), the length of transverse axis is 12 and eccentricity 7/6 is
Tangents are drawn from the Point (-2, -1) to the hyperbola 2x2-3y2=6. Their equations are
If the axes are rotated through an angle of 450 in the anticlockwise direction then the equation of rectangular hyperbola x2-y2=a2 changes to
The equation of the hyperbola whose centre is (1,2), one focus is (6,2) and transverse axis 6 is
The equation of the director circle of x2/12-y2/8=1 is
x2-y2+5x+8y-4=0 represents
The centre of the hyperbola 9x2-16y2+72x-32y-16=0 is
The locus of the midpoint its of chords of the hyperbola x2/a2-y2/b2=1 which pass through the positive end of the transverse axis is