Co-ordinate Geometry problem

Geometry Level 3

Find the sum of non-negative real numbers A, B, C, I, J, K such that algebraic sum of perpendiculars drawn from the points (2, A) , (3, B), (7, C), (I, 4) , (J, 5) and (K, -3) on a variable line passing through (2, 1) is zero.

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