For 0 < θ < π/2, if the eccentricity of the hyperbola x^2 - y^2 ^2 = 5 is 7 times eccentricity of the ellipse x^2 ^2 + y^2 = 5, then the value of θ is:

JEE Main 2024 Mathematics question

For 0 < θ < π/2, if the eccentricity of the hyperbola is times eccentricity of the ellipse , then the value of θ is:

Answer: (C)

and ; ⇒ .

Question ID VK-011281