The area (in sq. units) of the quadrilateral formed by the tangent at the end points of the latera recta to the ellipse x²/9 + y²/5 = 1, is

For the given ellipsee=√1−5/9=2/3
The endpoint of one of the latus rectum will be(2,5/3)
The tangents drawn at the end of the latera recta to the ellipse will intersect at the x and y axis because of symmetry. The area of the quadrilateral thus formed will be 4 times the area of the triangle formed by the tangent and the coordinate axis.