WBJEE · Maths · Determinants
If \(a_i, b_i, c_i \in \mathbb{R}(i=1,2,3)\) and \(x \in \mathbb{R}\) and \(\left|\begin{array}{lll}a_1+b_1 x & a_1 x+b_1 & c_1 \\ a_2+b_2 x & a_2 x+b_2 & c_2 \\ a_3+b_3 x & a_3 x+b_3 & c_3\end{array}\right|=0\), then
- A x = 1
- B x = -1
- C \(\left|\begin{array}{lll}a_1 & b_1 & c_1 \\ a_2 & b_2 & c_2 \\ a_3 & b_3 & c_3\end{array}\right|=0\)
- D x = 2
Answer & Solution
Correct Answer
(C) \(\left|\begin{array}{lll}a_1 & b_1 & c_1 \\ a_2 & b_2 & c_2 \\ a_3 & b_3 & c_3\end{array}\right|=0\)
Step-by-step Solution
Detailed explanation
Hint: \(\left(1-x^2\right)\left|\begin{array}{lll}a_1 & b_1 & c_1 \\ a_2 & b_2 & c_2 \\ a_3 & b_3 & c_3\end{array}\right|=0\)
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