[" For "(x^(2))/(a^(2))-(y^(2))/(b^(2))=1" the length of "],[" latusrectum is "]

If e=(3)^(1/2)/2 , its length of latusrectum is

If C is centre of the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 and the normal at an end of a latusrectum cuts the major axis in G, then CG =

If C is centre of the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 and the normal at an end of a latusrectum cuts the major axis in G, then CG =

If the ecentricity of the ellipse (x^(2))/( a^(2) +1) +(y^(2))/(a^(2)+2) =1 be (1)/(sqrt6) then length of the latusrectum of the ellipse is

The length of the latusrectum of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=-1 , is

The length of the latusrectum of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=-1 , is

If the normal at one end of latusrectum of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 passes through one end of minor axis then

The hyperbola (x^(2))/(a^(2)) -(y^(2))/(b^(2)) = 1 passes through the point (sqrt(6), 3) and the length of the latusrectum is (18)/(5) . Then, the length of the transverse axis is equal to a)5 b)4 c)3 d)2

If for the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , y-axis is the minor axis and the length of the latusrectum is one half of the length of its minor axis, then its eccentricity is

if the line x- 2y = 12 is tangent to the ellipse (x^(2))/(b^(2))+(y^(2))/(b^(2))=1 at the point (3,(-9)/(2)) then the length of the latusrectum of the ellipse is