- a b a-b- b c b-c- a-b b-c 0 -0 - then a- b- c are

The correct option is B G. P.Let a, b, c are in G.P. and assume a=1, b=2, c=4 ∴ A = 1 amp;2 amp;3 2 amp;4 amp;6 3 amp;6 amp;0 = 0. ...

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Evaluation of a Determinant

|[ a b a+b;...

Question

If $∣ ∣ ∣ ∣ \begin{matrix} a & b & a + b b & c & b + c a + b & b + c & 0 \end{matrix} ∣ ∣ ∣ ∣ = 0;$ then a, b, c are in

A. P.

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G. P.

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H. P.

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None of these

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∣ ∣ ∣ ∣ \begin{matrix} a & b & a + b b & c & b + c a + b & b + c & 0 \end{matrix} ∣ ∣ ∣ ∣ = 0

a, b, c

|\begin{matrix} b + c & c + a & a + b \\ c + a & a + b & b + c \\ a + b & b + c & c + a \end{matrix}| = 0

a + b + c = 0 or, a = b = c

If $\frac{a + b x}{a - b x}$ = $\frac{b + c x}{b - c x}$ = $\frac{c + d x}{c - d x}$ (x ≠ 0), then a, b, c, d are in:

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Show that either a + b + c = 0 or a = b = c.

∣ ∣ ∣ ∣ \begin{matrix} a & b & a α + b b & c & b α + c a α + b & b α + c & 0 \end{matrix} ∣ ∣ ∣ ∣ = 0

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