If the latus rectum subtends a right angle at the center of the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1` , then find its eccentricity.

If the latus rectum of the hyperbola (x^(2))/(16)-(y^(2))/(b^(2))=1 is (9)/(2) , then its eccentricity, is

If the latus rectum through one focus subtends a right angle at the farther vertex of the hyperbola then its eccentricity is

The locus of the poles of the chords of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 which subtend a right angle at its centre is

If a latus rectum of an ellipse subtends a right angle at the centre of the ellipse,then write the eccentricity of the ellipse.

If the latus rectum of a hyperbola forms an equilateral triangle with the vertex at the center of the hyperbola,then find the eccentricity of the hyperbola.

The length of the latus rectum of the hyperbola 3x ^(2) -y ^(2) =4 is

If the normal at an end of latus rectum of the hyperbola x^(2)/a^(2) - y^(2)/b^(2) = 1 passes through the point (0, 2b) then

Length of latus -rectum of the hyperbola (x^(2))/(a^(2)) - (y^(2))/(b^(2)) = 1 is ................. .