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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