Question

If $\left| \begin{matrix} 1 + ax & 1 + bx & 1 + cx \\ 1 + a_{1}x & 1 + b_{1}x & 1 + c_{1}x \\ 1 + a_{2}x & 1 + b_{2}x & 1 + c_{2}x \end{matrix} \right|$

= A₀+A₁x+A₂x² + A₃x³, then A₀ is equal to-

• A. abc
• B. 1
• C. 0
• D. None of these

Answer 1

Answer: (C)

0

Answer 2

On putting x = 0 both sides we get

$\left| \begin{matrix} 1 & 1 & 1 \\ 1 & 1 & 1 \\ 1 & 1 & 1 \end{matrix} \right|$ = A₀ ⇒ A₀ = 0