A. (x4+y4)=a6
B. (a4+4y4) x2=a6
C. (a4+4x4) y2=a6
D. none
The equation to one asymptote of the hyperbola 14x2+38xy+20y2+x-7y-91=0 is 7x+5y-3=0, then the other asymptote is
The equation of the transverse and conjugate axes of a hyperbola are respectively. X+2y-3=0, 2x-y+4=0 and their respective lengths are √2 and 2/√3. The equation of the hyperbola is
Tangents to the hyperbola x2/a2+y2/b2=1 make an angles θ1, θ2 with the traverse axis . The equation of the locus of their intersection when tan (θ1+θ2)=k is
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