The equation to the ellipse, whose focus is the point (–1, 1), whose directrix is the…

Mathematics · JEE Main · NTA ExamsCo-ordinate Geometry

The equation to the ellipse, whose focus is the point
(–1, 1), whose directrix is the straight line x – y + 3 = 0, and whose eccentricity is \(\frac{1}{2}\) is
  1. 7x2 + 2xy + 7y2 + 10x – 10y + 7 = 0
  2. x2 + 2xy + 10x – 10y + 3 = 0
  3. 3x2 + xy + 10x – 10y + 3 = 0
  4. None of these

Answer

(A) 7x 2 + 2xy + 7y 2 + 10x – 10y + 7 = 0

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