JEE Mathematics Online Test Ellipse Set B

Consider an ellipse x²/a² + y²/b²= 1, centred at point O and having AB and CD as its major and minor axes respectively. If S₁ be one of the foci of the ellipse, radius of incircle of triangle OCS₁, be 1 unit and OS₁ = 6 units, then

The area of ellipse is –