JEE Math Practice Question
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 :
- A.$$x^{2}-7 x+12=0$$
- B.$$x^{2}-13 x+42=0$$
- C.$$x^{2}-14 x+48=0$$
- D.$$x^{2}-10 x+25=0$$
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