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+1 vote
9.3k views
in Trigonometry by (41.5k points)

The determinant Δ = |(a, b, aα + b), (b, c, bα + c), (aα + b, bα + c, 0)| is equal to zero if

(A) a, b, c are in AP

(B) a, b, c are in GP

(C) a, b, c are in HP

(D) None of these

1 Answer

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by (41.3k points)
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Best answer

Answer is (B) a, b, c are in GP

By applying R3 → R3 αR1 - R2, we get

(b2 - ac) (aα2 + 2ba + c) = 0

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