Let P, Q be two points on the ellipse x225+y216=1 whose eccentric angles differ by a right angle. Tangents are drawn at P and Q to meet at R. If the chord PQ divides the joint of C and R in the ratio m: n (C being the centre of the ellipse), then find m+n(m:n is in simplified form).

Let P, Q be two points on the ellipse x225+y216=1 whose eccentric angl

1.	Let P, Q be two points on the ellipse x225+y216=1 whose eccentric angles differ by a right angle. Tangents are drawn at P and Q to meet at R. If the chord PQ divides the joint of C and R in the ratio m: n (C being the centre of the ellipse), then find m+n(m:n is in simplified form).
Answer» Let P, Q be two points on the ellipse $\frac{x^{2}}{25} + \frac{y^{2}}{16} = 1$ whose eccentric angles differ by a right angle. Tangents are drawn at P and Q to meet at R. If the chord PQ divides the joint of C and R in the ratio m: n (C being the centre of the ellipse), then find m+n(m:n is in simplified form).