Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Determinants

Question:

$\begin{vmatrix}109&102&95\\6&13&20\\1&-6&-13\end{vmatrix}$ is equal to

Options:

constant other than zero

zero

100

-1997

Correct Answer:

zero

Explanation:

Since elements of the rows are in  A.P. with common difference 7, the given determinant is zero (Operations C1 - C3 and C2 - C3 make the elements in C1 and C2 proportional).

Hence (B) is the correct answer.