Cool JEEometry

Geometry Level 4

Let \( A \), \( B \) are two points in first quadrant on the line \( 4x+3y=c \) and \( C \), \( D \) are points on positive \(x\)-axis and positive \(y\)-axis respectively, such that \( ABCD \) is a square of side \( 5 \) units. Let the circumcircle of \( ABCD \) be \( S \) with centre \( M(a,b) \). The find the value of \( 2a+6b \).

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