If a2+b2+c2=−2, and f(x)=∣∣
∣
∣∣1+a2x(1+b2)x(1+c2)x(1+a2)x1+b2x(1+c2)x(1+a2)x(1+b2)x1+c2x∣∣
∣
∣∣ then f(x) is a polynomial of degree
A
0
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B
1
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C
2
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D
3
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Solution
The correct option is C2 f(x)=∣∣
∣
∣∣1+a2x(1+b2)x(1+c2)x(1+a2)x1+b2x(1+c2)x(1+a2)x(1+b2)x1+c2x∣∣
∣
∣∣