Let (α, β) be the centroid of the triangle formed by the lines 15 x-y=82,6 x-5 y=-4 and 9 x+4 y=17. Then α+2 β and 2 α-β are the roots of the equation [13-Apr-2023 shift 2]

Question

Let (α, β) be the centroid of the triangle formed by the lines 15 x-y=82,6 x-5 y=-4 and 9 x+4 y=17. Then α+2 β and 2 α-β are the roots of the equation  [13-Apr-2023 shift 2]

Examsnet · Accepted Answer

Correct Answer is :  x2−13x+42=0

JEE Mains 13-Apr-2023 Shift 2 Solved Paper