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lf a quadrilateral is formed by four tan...

lf a quadrilateral is formed by four tangents to the ellipse `x^2/9+y^2/4=1` then the area of the square is equal to

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The correct Answer is:
26. sq. units
When the quadrilateral is square, all the four vartices of square would line on the director circle of the ellipse.
So, square is inscribed in the cirlce `x^(2)+y^(2)=a^(2)+b^(2)`.
`:.` Area of square `=2(a^(2)+b^(2))=2(9+4)=26` sq. unit
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