The algebraic sum of distances of the li...

The algebraic sum of distances of the line `ax + by + 2 = 0` from `(1,2), (2,1) and (3,5)` is zero and the lines `bx - ay + 4 = 0` and `3x + 4y + 5=0` cut the coordinate axes at concyclic points. Then (a) `a+b=-2/7` (b) area of triangle formed by the line `ax+by+2=0` with coordinate axes is `14/5` (c) line `ax+by+3=0` always passes through the point `(-1,1)` (d) max `{a,b}=5/7`

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