if a quadrilateral formed by tangents to the ellipse (x^2/9)+(y^2/4)=1 is a square then area of the quadrilateral is

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- Nov 15th 2010, 07:41 AMprasumellipse 2
if a quadrilateral formed by tangents to the ellipse (x^2/9)+(y^2/4)=1 is a square then area of the quadrilateral is

- Nov 15th 2010, 11:41 AMOpalg
Hint: draw a picture of the ellipse. It should be clear from the picture that the tangents should make angles $\displaystyle \pi/4$ with the axes, and that the vertices of the square will lie on the coordinate axes.