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IPMAT Indore 2020 (SA) PYQs

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IPMAT Indore 2020

Modern Math
>
Matrices & Determinants

Hard

Suppose ∣aa2a3−1bb2b3−1cc2c3−1∣=0\left|\begin{array}{lll}a & a^{2} & a^{3}-1 \\ b & b^{2} & b^{3}-1 \\ c & c^{2} & c^{3}-1\end{array}\right|=0, where a,b\mathrm{a}, \mathrm{b} and c\mathrm{c} are distinct real numbers. If a=3{a}=3, then the value of abcabc is:

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✅ Correct Answer: 1

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