A chord is drawn passing through P(2, 2) on the ellipse x225+y216=1 such that it intersects the ellipse at A - Maths - Conic Sections

Question

A chord is drawn passing through P(2, 2) on the ellipse x
2 25 + y 2 16 = 1 such that it intersects the ellipse at A and B
Then maximum value of PA PB is
(A) 61 4 (B) 59 4 (C) 71 4 (D) 63 4

Rambaboo Khatana · Accepted Answer

A chord is drawn passing through P(2, 2) on the ellipse x 2 25 + y 2 16 = 1 such that it intersects the ellipse at A and B. Then maximum value of PA. PB is (A) 61 4 (B) 59 4 (C) 71 4 (D) 63 4

A chord is drawn passing through P(2, 2) on the ellipse $\frac{x^{2}}{25} + \frac{y^{2}}{16} = 1$ such that it intersects the ellipse at A and B. Then maximum value of PA. PB is
(A) $\frac{61}{4}$ (B) $\frac{59}{4}$ (C) $\frac{71}{4}$ (D) $\frac{63}{4}$