If the ratio of the roots of x^2+ x+ =0 is equal to the ratio of the roots of x^2+x+1=0 then , , are in

JEE Advanced Mathematics question

If the ratio of the roots of is equal to the ratio of the roots of then are in

Answer: (B)

Roots of are ; their ratio is (or ). For any quadratic with roots and :

==r+2+1r.

For : ${(α+β)^

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Question ID VK-107951