If tangents are drawn to the ellipse x^ 2 +2 y^ 2 =2 at all points on the ellipse other…

Mathematics · JEE Main · NTA ExamsCo-ordinate Geometry

If tangents are drawn to the ellipse \(x^{2}+2 y^{2}=2\) at all points on the ellipse other than its four vertices then the mid points of the tangents intercepted between the coordinate axes lie on the curve:
  1. \(\frac{x^{2}}{2}+\frac{y^{2}}{4}=1\)
  2. \(\frac{1}{2 x^{2}}+\frac{1}{4 y^{2}}=1\)
  3. \(\frac{1}{4 x^{2}}+\frac{1}{2 y^{2}}=1\)
  4. \(\frac{x^{2}}{4}+\frac{y^{2}}{2}=1\)

Answer

(C) 1 4 x^ 2 + 1 2 y^ 2 =1

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.

Related practice questions

More Co-ordinate Geometry questions · Browse all practice questions