Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

If \(\left|\begin{array}{ll}2x & 5\\ 8& x\end{array}\right|=\left|\begin{array}{ll}6 & -2\\ 7&3\end{array}\right|\) then the value of \(x\) is

Options:

\(3\)

\(\pm 3\)

\(\pm 6\)

\(6\)

Correct Answer:

\(\pm 6\)

Explanation:

2x2 - 40 = 18 + 14

2x2 - 40 = 32

2x2 = 32 + 40

2x2 = 72

x2 = 36

x = ±6