If ∆ = | array lll 1 & a & ~b 1 & ~b & a 1 & c & ~b array | = | array lll 1 & a & a ^ 2 1…
Mathematics · JEE Advanced · NTA Exams — Matrices and Determinants
If ∆ = \[\left|\begin{array}{lll}
1 & \mathrm{a} & \mathrm{~b} \\
1 & \mathrm{~b} & \mathrm{a} \\
1 & \mathrm{c} & \mathrm{~b}
\end{array}\right|\]= \[\left|\begin{array}{lll}
1 & \mathrm{a} & \mathrm{a}^{2} \\
1 & \mathrm{~b} & \mathrm{~b}^{2} \\
1 & \mathrm{c} & \mathrm{c}^{2}
\end{array}\right|\]. then
- ∆ = (a – b) (b – c) (c – a)
- a, b, c are in G.P.
- b, c, a are in G.P.
- a, c, b are in G.P.
Answer
(A) ∆ = (a – b) (b – c) (c – a)
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