The transverse axes of a rectangular hyperbola is 2c and the asymptotes are the axes of coordinates, show that the equation of the chord which is bisected at the point `(2c , 3c) " is " 3x + 2y = 12c`.

Find the equation of that chord of the circle x^2 + y^2 = 15, which is bisected at the point (3,2)

Find the equation of the chord of the hyperbola 25 x^2-16 y^2=400 which is bisected at the point (5, 3).

Find the equation of the chord of the hyperbola 25 x^2-16 y^2=400 which is bisected at the point (5, 3).

The equation of chord of the hyperbola 25x^2- 16y^2 =400 which is bisected at the point (6, 2) is

The focus of rectangular hyperbola (x-a)*(y-b)=c^2 is

Find the asymptotes and axes of hyperbola having equation xy-3y-4x+7=0 .

The tangent at the point P of a rectangular hyperbola meets the asymptotes at L and M and C is the centre of the hyperbola. Prove that PL=PM=PC .

The differential equation of rectangular hyperbolas whose axes are asymptotes of the hyperbola x^2 - y^2= a^2 , is :

The length of the transverse axis of the rectangular hyperbola x y=18 is (a) 6 (b) 12 (c) 18 (d) 9

The vertices of triangleABC lie on a rectangular hyperbola such that the orhtocentre of the triangle is (2,3) and the asymptotes of the rectangular hyperbola are parallel to the coordinate axes. The two perpendicular tangents of the hyperbola intersect at the point (1, 1). Q. The equation of the rectangular hyperbola is