If the eccentricity of the hyperbola `x^(2)-y^(2)sec^(2)alpha=5` is `sqrt3` times the eccentricity of the ellipse `x^(2)sec^(2)alpha+y^(2)=25`, then `tan^(2)alpha` is equal to

It the eccentricity of the hyerbola x^(2)-y^(2)cos ce^(2) alpha = 25 is sqrt5 time the eccentricity of the ellipse x^(2)cos ce^(2) alpha + y^(2) = 5 , then alpha is equal to :

Suppose 0lt thetalt(pi)/(2) if the eccentricity of the hyperbola x^(2)-y^(2) cosec^(2) theta=5 is sqrt(7) times the eccentricity of the ellipse x^(2) cosec^(2) theta+y^(2)=5 then theta is equal to ________

lf the eccentricity of the hyperbola x^2-y^2(sec)^2alpha=5 is sqrt3 times the eccentricity of the ellipse x^2(sec)^2alpha+y^2=25, then a value of alpha is :

If the eccentricity of the hyperbola x^(2)-y^(2)(sec)alpha=5 is sqrt(3) xx the eccentricity of the ellipse x^(2)(sec)^(2)alpha+y^(2)=25, then a value of alpha is : (a) (pi)/(6) (b) (pi)/(4) (c) (pi)/(3) (d) (pi)/(2)

If the eccentricity of the hyperbola x^(2)-y^(2)sec^(2)theta=4 is sqrt3 times the eccentricity of the ellipse x^(2)sec^(2)theta+y^(2)=16 , then the value of theta equals

If the eccentricity of the hyperbola x^(2) - y^(2) sec^(2)theta = 4 is sqrt3 time the eccentricity of the ellipse x^(2)sec^(2)theta+y^(2) = 16 , then the volue of theta equal

The eccentricity of the hyperbola x ^(2) - y^(2) =25 is

The eccentricity of the hyperbola x ^(2) - y^(2) =25 is

lf the eccentricity of the hyperbola x^2-y^2(sec)^2alpha=5 is sqrt3 times the eccentricity of the ellipse x^2(sec)^2alpha+y^2=25, then a value of alpha is : (a) pi/6 (b) pi/4 (c) pi/3 (d) pi/2