The area between the latusne latus rectum and tangents drawn at the end points of the ellipse `x^2/a^2+y^2/b^2=1` is

The area (in sq. units) of the triangle formed by the latus rectum and the tangents at the end points of the latus rectum of (x^(2))/(16)-(y^(2))/(9)=1 is equal to

The area (in sq. units) of the triangle formed by the latus rectum and the tangents at the end points of the latus rectum of (x^(2))/(16)-(y^(2))/(9)=1 is equal to

The locus of mid point of tangent intercepted between area of ellipse x^2/a^2 +y^2/b^2 = 1 is

The area of the quadrilateral formed by the tangents at the end points of latus rectum of the ellipse 5x^(2) +9y^(2)=45 is

The angle between the tangents drawn from the point (1,2) to the ellipse 3x^(2) + 2y^(2) - 5 is

The area of the quadrilateral formed by the tangents at the end points of latus rectum to the ellipse (x^(2))/(9)+(y^(2))/(5)=1 is

Find the length of Latus rectum of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 .

Find the equation of the tangents at the ends of the latus rectum of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and also show that they pass through the points of intersection of the major axis and directrices.