Let (\alpha, \beta) 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 \alpha+2 \beta and 2 \alpha-\beta are the roots of the equation [13-Apr-2023 shift 2]

Correct Answer is : x2−13x+42=0

JEE Mains 13-Apr-2023 Shift 2 Solved Paper

Section: Mathematics

Question : 20 of 90

Marks: +1, -0

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

[13-Apr-2023 shift 2]

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