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 a value of `alpha` is

lf the eccentricity of the hyperbola x^2-y^2(sec)alpha=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

The eccentricity of the hyperbola (y^(2))/(9)-(x^(2))/(25)=1 is …………………

The eccentricity of the ellipse 16x^(2)+25y^(2)=400 is ……………… .

The eccentricity of the ellipse 16x^2 + 25y^2 = 400 is

The eccentricity of the ellipse 9x^(2)+5y^(2)-54x-40y+116=0 is:

The eccentricity of ellipse (x^(2))/(25)+(y^(2))/(9)=1 is ……………. .

If the eccentricity of the ellipse, x^2/(a^2+1)+y^2/(a^2+2)=1 is 1/sqrt6 then latus rectum of ellipse is

Find the eccentricity of the conic 4(2y-x-3)^2-9(2x+y-1)^2=80