1. The problem statement, all variables and given/known data The triangle formed by the tangents to the parabola y2=4ax, at the ends of the latus rectum and the double ordinate through it's focus is: 1) equilateral 2) acute angles isosceles 3)right angled isosceles 4) dependent on value of a 2. Relevant equations 3. The attempt at a solution The double ordinate through the focus is the latus rectum. I tried to find the intersection of the two tangents by using the AM and GM of the co-ordinates of the points of contact with the parabola . the two points of contact : (a,2a) and (a,-2a) x-coordinate of intersection = GM=√a2=a y-coordinate of intersection = AM= 2a-2a/2 =0 Which gives me the intersection of the two tangents to be (a,0) which is the co-ordinates of the focus. This is clearly wrong. Where am I going wrong in my approach?