Question

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

• A. x2 - 14x + 48 = 0
• B. x2 - 10x + 25 = 0
• C. x2 - 7x + 12 = 0
• D. x2 - 13x + 42 = 0

Answer 1

Answer: (D)

x2 - 13x + 42 = 0

Answer 2

The correct answer is (D) : x2 - 13x + 42 = 0