Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Determinants

Question:

The determinant of the matrix \(\left[\begin{array}{lll}1 & a & a^{2}\\ 1 & b & b^{2}\\ 1 & c & c^{2}\end{array}\right]\) is

Options:

\(\left(a-b\right)\left(b-c\right)\left(a-c\right)\)

\(\left(a-b\right)\left(c-b\right)\left(c-a\right)\)

\(\left(a-b\right)\left(b-c\right)\left(c-a\right)\)

\(\left(b-a\right)\left(b-c\right)\left(c-a\right)\)

Correct Answer:

\(\left(a-b\right)\left(b-c\right)\left(c-a\right)\)