Answer is 'ab'
http://www.askiitians.com/forums/Analytical-Geometry/24/28620/ellipse.htm
The minimum are of triangle formed by any tangent to ellipse x2a+y2b=1 with the coordinate axes is :
Answer is 'ab'
http://www.askiitians.com/forums/Analytical-Geometry/24/28620/ellipse.htm
Equation of tangent to ellipse is
xcosθ/a+ysinθ/a=1
find the coordinates and ares