The equation of the hyperbola differs from the equation of the asymptotes by a constant
⇒The equation of the hyperbola with asymptotes
3x + y – 7 = 0 and 2x – y = 3 is
(3x + y – 7)(2x – y – 3) + k = 0
It passes through (1, 1)
⇒k = –6.
Hence the equation of the hyperbola is (2x – y – 3)(3x + y – 7) = 6.
