Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Determinants

Question:

The value of the determinant $\left|\begin{array}{lll}a^2 & a & 1 \\ b^2 & b & 1 \\ c^2 & c & 1\end{array}\right|$ is:

Options:

zero

$a+b+c-3 a b c$

$(a-b)(b-c)(a-c)$

$a^2+b^2+c^2-a b c$

Correct Answer:

$(a-b)(b-c)(a-c)$

Explanation:

The correct answer is Option (3) → $(a-b)(b-c)(a-c)$