Centroid of Δ = (2, 2) line passing through intersection of x + 3y - 1 = 0 and 3x - y + 1 = 0, be given by (x + 3y - 1) + A,(3x - y + 1) = 0 ∵ It passes through (2, 2) ⇒7+5λ=0⇒λ=−
7
5
∴ Required line is 8 x - 11 y + 6 = 0 ∵ (-9, -6) satisfies this equation.