Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Determinants

Question:

Options:

a

b

c

d

Correct Answer:

d

Explanation:

$Δ=\begin{vmatrix}1+a&1&1\\1&1+b&1\\1&1&1+c\end{vmatrix}$

$R_1→R_1-R_2$

$Δ=\begin{vmatrix}a&-b&0\\1&1+b&1\\1&1&1+c\end{vmatrix}$

$Δ=a((1+b+c+bc)-1)+b(1-1+b)$

$=ab+bc+ca+abc$