http://img184.imageshack.us/img184/6506/hmmyh4.jpg The question ebfore had me find the equation of the tangent for any parametizaton values of (x(t),y(t)). Which is y = -x/t^2 + x(t)/t^2 + y(t) I'm pretty sure the case that a tangent to the hyperbola cant pass through the point is because the point lies inside the curve. So basically all i have to do is show that for x = 4 in the original equation has a y value less than 4, and for y = 4 in the equation has a x value less than 4? By the way I sketched the graph. Did I do this right?