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+1 vote
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in Trigonometry by (41.5k points)

If a, b, g are the roots of the equation x3 + px + q = 0 (where p ≠ 0, q ≠ 0), then the value of the determinant |(α, β, γ), (β, γ, α), (γ, α β)| is

(A) p

(B) q

(C) p2 - 2q

(D) None of these  

1 Answer

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Best answer

Answer is (D) None of these

Use concept of polynomial roots. Sum of the roots = 0.

By applying R1 → R1 + R2 + R3 and using α + β + β, we get Δ = 0

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