defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Parabola, Ellipse and Hyperbola Eccentricity of a conic
For 0 < θ < π/2, if the eccentricity of the hyperbola x2 – y2cosec2θ = 5 is \(\sqrt7\) times eccentricity of the ellipse x2 cosec2θ + y2 = 5, then the value of θ is :
1
\(\rm \frac{\pi}{6}\)
2
\(\rm \frac{5\pi}{12}\)
3
\(\rm \frac{\pi}{3}\)
4
\(\rm \frac{\pi}{4}\)