The asymptotes of a rectangular hyperbola intersect at an angle

Statement 1: Lines 3x - 4y + 7 = 0 and 4x + 3y + 8 = 0 are the asymptotes of a rectangular hyperbola. Statement 2: In a rectangular hyperbola, asymptotes intersect at a right angle.

Find all values for xy=c^(2) (assymptotes; transverse axis; conjugate axis; vertex; focii length of latus rectum; Equation of auxilliary circle; equation of directrix circle and hyperbola and rectangular hyperbola intersects at right angle.

The vertices of Delta ABC lie on a rectangular hyperbola such that the orthocenter of the triangle is (3, 2) 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). The equation of the pair of asymptotes is

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 asymptotes is

The vertices of Delta ABC lie on a rectangular hyperbola such that the orthocenter of the triangle is (3, 2) 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). The equation of the rectangular hyperbola is