Problem: Let a, b, c > 0 with a > b, c2 = a2 - 62. Consider an ellipse with an equation + = 1 with foci Fi (-c, 0), F2(c, 0). Let P be any point on the ellipse and let Q1, Q2 be points on the tangent line to the ellipse at P such that P is between Q1 and Q2. Prove that the angles a = ZQ1 PF, and B = ZQ2PE, satisfy a = B. b P ( 71 , ) ) 2 2 (3 Tangent line of P - a F. ( - C , 0 ) F2 ( C, 0 ) a - 6