If the chord through the points whose eccentric angles are θ & φ on the ellipse, x^ 2 a^…
Mathematics · JEE Advanced · NTA Exams — Co-ordinate Geometry
If the chord through the points whose eccentric angles are θ & φ on the ellipse, \(\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1\) passes through a focus, then the value of tan (θ/2) tan (φ/2) is :
- \(\frac{e+1}{e-1}\)
- \(\frac{e-1}{e+1}\)
- \(\frac{1+e}{1-e}\)
- \(\frac{1-e}{1+e}\)
Answer
(B) e-1 e+1, (C) 1+e 1-e
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