If tan θ 1 tan θ 2 = – a ^ 2 ~b ^ 2 , then the chord joining two point θ 1 and θ 2 on the…

Mathematics · JEE Advanced · NTA ExamsCo-ordinate Geometry

If tan θ1 tan θ2 = – \(\frac{\mathrm{a}^{2}}{\mathrm{~b}^{2}},\) then the chord joining two point θ1 and θ2 on the ellipse \(\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1\) will subtend a right angle at
  1. Focus
  2. Centre
  3. End of the major axes
  4. End of minor axes

Answer

(B) Centre

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