IPMAT IndoreModern Math > Hard245\frac{2}{45}452145\frac{1}{45}451415\frac{4}{15}154115\frac{1}{15}151✅ Correct Option: 1Related questions:IPMAT Indore 2020Suppose ∣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|=0abca2b2c2a3−1b3−1c3−1=0, where a,b\mathrm{a}, \mathrm{b}a,b and c\mathrm{c}c are distinct real numbers. If a=3{a}=3a=3, then the value of abcabcabc is:IPMAT Indore 2019If inverse of the matrix [2−0.5−1x]\left[\begin{array}{cc}2 & -0.5 \\ -1 & x\end{array}\right][2−1−0.5x] is [1124]\left[\begin{array}{ll}1 & 1 \\ 2 & 4 \end{array}\right][1214], then the value of xxx isIPMAT Indore 2019If a 3×33 \times 33×3 matrix is filled with +1's and -1's such that the sum of each row and column of the matrix is 1, then the absolute value of its determinant is