AIME trapezoid!

Geometry Level pending

Given a trapezoid \(ABCD\) such that bases \(AB\) and \(CD\) are parallel and that \(BC\) is perpendicular to the 2 bases. Also the diagonals are perpendicular as well. Given \(AB=\sqrt{11}\) and \(AD=\sqrt{1001}\), compute \(BC^2\).

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