Find the value of x if \(\begin{vmatrix}

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

Find the value of x if \(\begin{vmatrix}2 & 4 \\3 & 1 \end{vmatrix}\) = \(\begin{vmatrix}2 & 3 \\2 & x \end{vmatrix}\)

Options:

-2

-4

-3

None of the above

Correct Answer:

-2

Explanation:

By solving the determinants we get

2-12 = 2x- 6

-10 = 2x-6

-4 = 2x

-2 = x