For 0< \theta< \pi \/ 2, if the eccentricity of the hyperbola x^2-y^2 {\cosec}^2 \theta=5 is \sqrt{7} times eccentricity of the ellipse x^2 {\cosec}^2 \theta+y^2=5, then the value of \theta is : [1-Feb-2024 Shift 1]

Hyperbola

Section: Mathematics

Question : 22 of 92

Marks: +1, -0

For 0<θ<π∕2, if the eccentricity of the hyperbola x2−y2cosec2θ=5 is √7 times eccentricity of the ellipse x2cosec2θ+y2=5, then the value of θ is :

[1-Feb-2024 Shift 1]

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