If e 1 and e 2 are the eccentricities of the ellipse, x^ 2 18 + y^ 2 4 =1 and the hyperbola, x^ 2 9 - y^ 2 4 =1 respectively and (e 1 , e 2 ) is a point on ellipse, 15x 2 + 3y 2 = k, then k is equal to :

If e 1 and e 2 are the eccentricities of the ellipse, x^ 2 18 + y^ 2 4 =1 and the…

Mathematics · JEE Main · NTA Exams — Co-ordinate Geometry

If e₁ and e₂ are the eccentricities of the ellipse, \(\frac{x^{2}}{18}+\frac{y^{2}}{4}=1\) and the hyperbola, \(\frac{x^{2}}{9}-\frac{y^{2}}{4}=1\) respectively and (e₁, e₂) is a point on ellipse, 15x² + 3y² = k, then k is equal to :

Answer

(C) 16

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