Co-ordinate of extremities of major axis 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.

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