Conic Sections: Challenge #8

Geometry Level 3

Sub-unit: Ellipse

Let tangents drawn at A and B points on the ellipse \[4x^{2} + 9y^{2} = 36\] meet at point P(1 , 3). If 'C' is the centre of ellipse and the area of quadrilateral PACB is L square units , then value of [L] , where [.] represents the greatest integer function , is equal to

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