If are the roots of and ,

MATHEMATICS · Single correct · CBSE · Mathematics · Polynomials · Polynomials

Problem

If α,β\alpha,\beta are the roots of ax2+bx+c=0ax^2+bx+c=0 and α+β\alpha+\beta, α2+β2\alpha^2+\beta^2, and α3+β3\alpha^3+\beta^3 are in GP, where Δ=b2−4ac\Delta=b^2-4ac, then (1) Δ≠0\Delta\ne0 (2) bΔ=0b\Delta=0 (3) cb≠0cb\ne0 (4) cΔ=0c\Delta=0

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