The value of \(\begin{vmatrix}2^x&1&6^x\\4^x&1&3^x\\2^x&1&6^x\end{vmatrix}\), where \(x \ne 0\); is:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 0
Row 1 and Row 3 are the same: \((2^x,\ 1,\ 6^x)\).
A determinant with two identical rows is 0, so the value is 0 for every x.