[" 30.If eccentricity of ellipse "(x^(2))/(a^(2)+1)+(y^(2))/(a^(2)+2)=1" is "(1)/(sqrt(6))," then "],[" latus rectum of ellipse is "],[qquad [5,10]]

If the eccentricity of the ellipse,(x^(2))/(a^(2)+1)+(y^(2))/(a^(2)+2)=1 is (1)/(sqrt(6)) then latus rectum of ellipse is

Suppose the eccentricity of the ellipse (x^(2))/(a^(2)+3)+(y^(2))/(a^(2)+4)=1 is , (1)/(sqrt(8)) .Let l be the latus rectum of the ellipse, then 4l is

Suppose the eccentricity of the ellipse (x^(2))/(a^(2)+3)+(y^(2))/(a^(2)+4)=1 is (1)/(sqrt(8)) .Let l be the latus rectum of the ellipse,then 4l 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

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

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

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

The eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 whose latus rectum is half of its minor axis is