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The eccentricity of an ellipse is (4)/(...

The eccentricity of an ellipse is `(4)/(5)` and the coordinates of its one focus and the corresponding vertex are (8,2) and (9,2) . Find the equation of the ellipse. Also find in the same direction the coordinates of the point of intersection of its major axis and the directrix.

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The correct Answer is:
Since the lines (4) and (5) intersect at `((41)/(4),2)` ,hence the required coordinates of the point of intersection of major axis and directrix of the ellipse (in the given direction ) are `((41)/(4),2)` .
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