If the foci of a hyperbola a lie on y = x and one of the asymptotes is y = 2x, then find the equation of the hyperbola, given that it passes through (3, 4).

If the foci of a hyperbola lie on y=x and one of the asymptotes is y=2x , then the equation of the hyperbola, given that it passes through (3, 4), is x^2-y^2-5/2x y+5=0 2x^2-2y^2+5x y+5=0 2x^2+2y^2+5x y+10=0 none of these

Find the equation of the hyperbola with vertices (0,+-4) and foci (0,+-6) .

Find the equation of tangent to the hyperbola y=(x+9)/(x+5) which passes through (0, 0) origin

Find the equation of normal to the hyperbola x^2-9y^2=7 at point (4, 1).

Find the equation of normal to the hyperbola x^2-9y^2=7 at point (4, 1).

The foci a hyperbola coincides with the foci of the ellispe x^(2)/25 + y^(2)/9 = 1 . Find the equation of the hyperbola if its eccentricity is 2.

For hyperbola whose center is at (1, 2) and the asymptotes are parallel to lines 2x+3y=0 and x+2y=1 , the equation of the hyperbola passing through (2, 4) is (a) (2x+3y-5)(x+2y-8)=40 (b) (2x+3y-8)(x+2y-5)=40 (c) (2x+3y-8)(x+2y-5)=30 (d) none of these

Find the eccentricity of the hyperbola with asymptotes 3x+4y=2 and 4x-3y=2.

If the eccentricity of the standard hyperbola passing through the point (4, 6) is 2, then the equation of the tangent to the hyperbola at (4, 6) is

Find the equations of the tangents to the hyperbola x^2=9y^2=9 that are drawn from (3, 2).