The locus of the foot of perpendicular drawn from the centre of the ellipse x 2 + 3y 2 =…

Mathematics · JEE Main · NTA ExamsCo-ordinate Geometry

The locus of the foot of perpendicular drawn from the centre of the ellipse x2 + 3y2 = 6 on any tangent to it is :
  1. (x2 + y2)2 = 6x2 – 2y2
  2. (x2 – y2)2 = 6x2 + 2y2
  3. (x2 – y2)2 = 6x2 – 2y2
  4. (x2 + y2)2 = 6x2 + 2y2

Answer

(D) (x 2 + y 2 ) 2 = 6x 2 + 2y 2

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