In a hyperbola `e=(9)/4` and the distance between the directrices is 3. Then the length of transverse axis is

e = 3/2 and distance between directrices = 8/3

In an ellipse the distance between the foci is 8 and the distance between the directrices is 25. The length of major axis, is

In an ellipse the distance between the foci is 8 and the distance between the directrices is 25. The length of major axis is : (A) 5sqrt(2) (B) 10sqrt(2) (C) 20sqrt(2) (D) none of these

In an ellipse the distance between the foci is 8 and the distance between the directrices is 25, then the ratio of the length of major and minor axis is

Distance between foci of a hyperbola is double the distance between its vertices . If the length of its conjugate axis is 6, then equation is

Statement- 1 : If the foci of a hyperbola are at (4,1) and (-6,1) and eccentricity is (5)/(4) , then the length of its transverse axis is 4 . Statement- 2 : Distance between the foci of a hyperbola is equal to the product of its eccentricity and length of the transverse axis.

The foci of a hyperbola are (-5,18) and (10,20) and it touches the y -axis . The length of its transverse axis, is

If the distance between foci of a hyperbola is twice the distance between its directrices, then the eccentricity of conjugate hyperbola is :