Find The Equation Of An Ellipse Whose Focus Is (–1, 1), Eccentricity Is  and The Directrix Is x – y + 3 = 0.

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Find the equation of an ellipse whose focus is (–1, 1), eccentricity is  and the directrix is x – y + 3 = 0.


Correct option is


Let P(xy) be any point on the ellipse whose focus is S(–1, 1) and the directrix is x – y + 3 = 0. Draw PM perpendicular fromP(xy) on the directrix x – y + 3 = 0. Then by definition  

         SP = ePM            




This is the required equation of the ellipse.




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