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

The latus rectum of the hyperbola 3x^(2)-2y^(2)=6 is

Find the latus-rectum of the hyperbola x^2−4y^2=4

If the normal at the end of latus rectum of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 passes through (0,b) then e^(4)+e^(2) (where e is eccentricity) equals

If the normal at one end of the latus rectum of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 passes through one end of the minor axis,then prove that eccentricity is constant.

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

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

The normal at an end of a latus rectum of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 passes through an end of the minor axis if

The normal at an end of a latus rectum of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 passes through an end of the minor axis if