In an ellipse, the distance from one of the foci to its corresponding end of the major axis is 4−7 and the distance from same focus to one end of the minor axis is 4 . Then the cosine of the angle subtended by the line segment joining its foci at one end of its minor axis is

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In an ellipse, the distance from one of the foci to its corresponding end of the major axis is $4 - \sqrt{7}$ and the distance from same focus to one end of the minor axis is 4 . Then the cosine of the angle subtended by the line segment joining its foci at one end of its minor axis is

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$\frac{1}{8}$

$\frac{3}{4}$

$\frac{\sqrt{7}}{3}$

$\frac{1}{3 \sqrt{7}}$

answer is A.

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