[" For the ellipse "4quad 3" the "],[" ends of the two latus-recta "],[" are the four points "]

For the ellipse (x^(2))/(4) + (y^(2))/(3) = 1 , the ends of the two latus rectum are the four points

For the ellipse (x^(2))/(4) + (y^(2))/(3) = 1 , the ends of the two latus rectum are the four points

Tangents are drawn to the ellipse 5x^(2)+ 9y^(2)=45 at the four ends of two latera recta. The area (in square unit) of the quadrilateral so formed is-

Tangents are drawn to the ellipse x^(2)/9+y^(2)/5=1 at the ends of latus rectum. The area of the quadrilateral formed, is

Show that for an ellipse the straight line joining the upper end of one latus rectum and the lower end of the other latus rectum passes through the centre of the ellipse .

The equation of the normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at the end of the latus rectum in the first quadrant is

In an ellipse,the ratio of the area of the rectangle formed by the end points of its each latus rectum to that of the ellipse is (1)/(pi) .The eccentricity of the ellipse is

Find the normals at the ends of the latus-rectum (in first quadrant) of the ellipse 9x^(2)+16y^(2)=144