Co-ordinate of extremities of major axis

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Ellipse has a focus (3,4), a directrix x+y−1=0 and an eccentricity of 1/2.

Using this information I find the equation of ellipse, but I can't find the co-ordinate of the extremities of major axis. Plz Help me.

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The line perpendicular to the directrix and passing through the focus, intersects the ellipse at the points you are looking for.