Hyperbola

Given : equation of line, (1)
and hyperbola (2)
putting in equation (2), we get


y = 0 or y =
x = 1 for y = 0 & x = 1 -
for y = -6/5 the line (1) cuts the hyperbola (2) in at most two point.
co-ordinates of points are P(1,0) &


length of straight line units.

On solving the equation of line and curve, we get,






and

So, point of contact is .

We have and
Hence, the equation of the hyperbola is