NDA 2021 Mathematics question
If is the value of the determinant
then what is the value of the following determinant?
\begin{vmatrix} pa_1 & b_1 & qc_1 \\ pa_2 & b_2 & qc_2 \\ pa_3 & b_3 & qc_3 \end{vmatrix}
Answer: (D)
Solution
A common factor of all the elements of one column can be taken outside the determinant. The first column has the common factor and the third column has the common factor . Taking them out, the determinant becomes
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