Extremities of the latus rectum of the ellipses `(x^(2))/(a^(2))+(y^(2))/(b^(2)) =1 (a gt b)` having a major axis 2a lies on

Extremities of the latera recta of the ellipses (x^2)/(a^2)+(y^2)/(b^2)=1(a > b) having a given major axis 2a lies on

If e' is the eccentricity of the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) =1 (a gt b) , then

Find the length of latus rectum of the ellipse (x^(2))/(25) + (y^(2))/(36) = 1 .

Find the length of the latus rectum of the ellipse 9x^(2)+16y^(2)=144

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.

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 monor axis, then prove that eccentricity is constant.

The length of latus rectum AB of ellipse (x^(2))/4+(y^(2))/3=1 is :

Find the eccentric angles of the extremities of the latus recta of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1

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

The locus of extremities of the latus rectum of the family of ellipse b^2x^2+a^2y^2=a^2b^2 is