If a - 2b + c = 1, then the value of ∣∣
∣∣x+1x+2x+ax+2x+3x+bx+3x+4x+c∣∣
∣∣is
A
x
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B
- x
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C
-1
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D
1
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Solution
The correct option is C -1 ∣∣
∣∣x+1x+2x+ax+2x+3x+bx+3x+4x+c∣∣
∣∣Applytheoperation,R1→R1−2R2+R3R3→R3−R2,thedeterminantreducesto∣∣
∣∣001x+2x+3x+b11c−b∣∣
∣∣=−1