Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

The value of $\begin{vmatrix}2^x&1&6^x\\4^x&1&3^x\\2^x&1&6^x\end{vmatrix}$, where $x≠0$; is:

Options:

0

$2^x+3^x$

$3^x+4^x$

$4^x+6^x$

Correct Answer:

0

Explanation:

The correct answer is Option (1) → 0

$\Delta = \begin{vmatrix} 2^x & 1 & 6^x \\ 4^x & 1 & 3^x \\ 2^x & 1 & 6^x \end{vmatrix}$

Since Row 1 = Row 3, determinant = 0.

$ \Delta = 0$