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Class 12 Determinants · Mcq Single Correct1 Marksdeterminant_equations

Class 12 Maths · Determinants · Mcq Single Correct #5

If x=−4 is a root of \(\begin{vmatrix}x & 2 & 3\\1 & x & 1\\3 & 2 & x\end{vmatrix}\)=0, find the sum of the other two roots.

✅ Step-by-Step Solution

Final Answer: Option (A): 4
  1. Expansion gives x³−13x+12=(x+4)(x²−4x+3). The other roots have sum 4.

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CBSE Class 12 Mathematics 2026 Main Paper 65/1/1 · Q4
If Δ₁ = | 1 0 0; 0 2 0; 0 0 3 | and Δ₂ = | 0 2 0; 1 0 0; 0 0 6 |, then