# 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) $\frac{63}{4}$

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