Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

Find the value of x if \(\begin{vmatrix}3x^2 & 1 \\10 & x \end{vmatrix}\) = \(\begin{vmatrix}4 & 3 \\3 & 20 \end{vmatrix}\)

Options:

-3

3

Both (a) and (b)

Cannot be determined

Correct Answer:

3

Explanation:

On solving the determinants we get

\(3 { x }^{ 3 } -10=71\)

\(3 { x }^{ 3 } =81\)

\({ x }^{ 3 } =27\)

x=3