AIEEE 2005

JEE Main 2005 Mathematics question on Sequences and Series

Let f(x)=ax2+bx+cf(x) = ax^2 + bx + c, a≠0a \neq 0 and Δ=b2−4ac\Delta = b^2 - 4ac. If α+β\alpha + \beta, α2+β2\alpha^2 + \beta^2 and α3+β3\alpha^3 + \beta^3 are in GP, then
  1. A.
    Δ≠0\Delta \neq 0
  2. B.
    bΔ=0b\Delta = 0
  3. C.
    cΔ=0c\Delta = 0
  4. D.
    bc≠0bc \neq 0
Show answer

Correct option: C

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