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The centre of a circle C is at the centre of the ellipse E : 2 2 2 2 x y a b  = 1, a > b. Let C pass through the foci F 1 and F 2 of E such that the circle C and the ellipse E intersect at four points. Let P be one of these four points. If the ar ea of the triangle PF 1 F 2 is 30 and the length of the major axis of E is 17, then the distance between the foci of E is:

1. 13
2. 12
3. 13 2
4. 26

Correct answer: 13

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