If , , and are the roots of , and , , and are the roots of , and if , , , and are in…

MATHEMATICS · Multi correct · CBSE · Mathematics · Polynomials · Polynomials

Problem

If α\alpha, β\beta, and γ\gamma are the roots of x3−x2+ax+b=0x^3-x^2+ax+b=0, and β\beta, γ\gamma, and δ\delta are the roots of x3−4x2+mx+n=0x^3-4x^2+mx+n=0, and if α\alpha, β\beta, γ\gamma, and δ\delta are in AP with common difference dd, then (1) a=ma=m (2) a=m−5a=m-5 (3) n=b−a−2n=b-a-2 (4) b=m+n−3b=m+n-3

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