Assertion : Feet of perpendiculars drawn from foci of an ellipse 4x 2 + y 2 = 16 on the…

Mathematics · JEE Advanced · NTA ExamsCo-ordinate Geometry

Assertion : Feet of perpendiculars drawn from foci of an ellipse 4x2 + y2 = 16 on the line \(2 \sqrt{3}\)x + y = 8 lie on the circle x2 + y2 = 16 .
Reason : If perpendicular are drawn from foci of an ellipse to its any tangent then feet of these perpendiculars lie on director circle of the ellipse.
  1. If Assertion is true, Reason is true, Reason is a correct explanation for Assertion.
  2. If Assertion is true, Reason is true, Reason is not a correct explanation for Assertion.
  3. If Assertion is true, Reason is false.
  4. If Assertion is false, Reason is true.

Answer

(C) If Assertion is true, Reason is false.

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