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CBSE Class 12 Math 2009 Solved Paper

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Question : 10 of 29
Marks: +1, -0
Write the value of the determinant ∣2345686x9x12x∣\begin{vmatrix} 2 & 3 & 4 \\ 5 & 6 & 8 \\ 6x & 9x & 12x \end{vmatrix}
Solution:  
Δ = ∣2345686x9x12x∣\begin{vmatrix} 2 & 3 & 4 \\ 5 & 6 & 8 \\ 6x & 9x & 12x \end{vmatrix}
R3R_3 → 13xR3\frac{1}{3x} R_3
Δ = 3x ∣234568234∣\begin{vmatrix} 2 & 3 & 4 \\ 5 & 6 & 8 \\ 2 & 3 & 4 \end{vmatrix}
Now , R1R_1 = R3R_3
∴ Δ = 0
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