Mathematics Parabola, Ellipse and Hyperbola Ellipse

For k > 0, the shortest distance from a point P (1, k) on the ellipse 9x2 + 4y2 - 18x +16y - 11 = 0 to one of its directrix is

1

3-\(\sqrt5\)

2

3+\(\sqrt5\)

3

\(\frac{9}{\sqrt5}-3\)

4

\(\frac{9}{\sqrt5}-2\)

5

Not Attempted

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