The eccentricity of the hyperbola whose latus rectum is half of its transverse axis is a.`1/(sqrt(2))` b. `sqrt(2/3)` c. `sqrt(3/2)` d. none of these

Find the eccentricity of the hyperbola whose latusrectum is half of its transverse axis.

The eccentricity of the hyperbola with latursrectum 12 and semi-conjugate axis is 2sqrt(3) , is

Find the eccentricity of the ellipse whose latus rectum is (i) half its major axis, (ii) half its minor axis.

the eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))=1 whose latus rectum is half of its minor axes , is

Find the eccentricity of an ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 whose latus rectum is half of its major axis.

(i) Find the eccentricity of hyperbola whose latus rectum is half of its transverse axis. (ii) Prove that the straight lines (x)/(a)-(y)/(b)=mand(x)/(a)-(y)/(b)=(1)/(m) always meet at a hyperbola, where 'm' is a constant.

The eccentricity of the hyperbola whose length of the latus rectum is equal to 8 and the length of its conjugate axis is equal to half of the distance between its foci, is : (A) 4/3 (B) 4/(sqrt(3)) (C) 2/(sqrt(3)) (D) sqrt(3)

The eccentricity of the hyperbola whose length of the latus rectum is equal to 8 and the length of its conjugate axis is equal to half of the distance between its foci, is : (1) 4/3 (2) 4/(sqrt(3)) (3) 2/(sqrt(3)) (4) sqrt(3)

A parabola is drawn with focus at one of the foci of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 . If the latus rectum of the ellipse and that of the parabola are same, then the eccentricity of the ellipse is (a) 1-1/(sqrt(2)) (b) 2sqrt(2)-2 (c) sqrt(2)-1 (d) none of these

The eccentricity of the hyperbola whose length of the latus rectum is equal to 8 and the length of its conjugate axis is equal to half of the distance between its foci, is :