The equations of straight line and hyperbola are respectively
x - 3y = 1.........(i)
and x - 4y2 = 1........(ii)
On solving Eqs. (i) and (ii), we get
A(1, 0) and B(-13/5, -6/5)
which are the points of intersection of straight line and hyperbola.
Length of straight line intercepted by the hyperbola