Conics - Locus Question
Hey, im new here, got a quick conics question. Im not sure if it really belongs here but it still is high school maths. Anyway..
The line y = mx + c is a tangent to the hyperbola x^2/25 - y^2/16 = 1. Show that c^2 = 25m^2 - 16. Done this bit
The tangents from P(x1, y1) to this hyperbola meet at right angles. Prove that the locus of P is the circle x^2 + y^2 = 9
Originally Posted by GaDaMIt
unfortunately I cann't offer you a (algebraic) solution. But I've done a rather exact construction (with a little help from my PC of course). I send you an image to show you that the statement is true. And maybe it helps to find a way to do the problem.