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Coordinate Geometryhard
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Let L1L_1L1​ be the line xcos⁡α+ysin⁡α=p1x \cos \alpha + y \sin \alpha = p_1xcosα+ysinα=p1​ and L2L_2L2​ be the line xcos⁡β+ysin⁡β=p2x \cos \beta + y \sin \beta = p_2xcosβ+ysinβ=p2​. If L1L_1L1​ and L2L_2L2​ are perpendicular, the distance between the point of intersection of these two lines and the origin is given by which expression?