Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Determinants

Question:

Let \(A=\left[\begin{array}{lll}\left(b+c\right)^2 & a^2 & a^2 \\ b^2 & \left(c+a\right)^2 & b^2\\ c^2 & c^2 & (a+b)^2\end{array}\right]\) where \(a,b\) and \(c\) are real numbers then determinant of \(A\) is

Options:

\(2ab\left(a+b+c\right)^2\)

\(2abc\left(a+b+c\right)^3\)

\(abc\left(a+b+c\right)^2\)

\(3abc\left(a+b+c\right)^2\)

Correct Answer:

\(2abc\left(a+b+c\right)^3\)

Explanation:

Use row and column operation