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Let f(x)=x^(2)+ax+b, where a, b in R. If...

Let `f(x)=x^(2)+ax+b`, where `a, b in R`. If `f(x)=0` has all its roots imaginary, then the roots of `f(x)+f'(x)+f''(x)=0` are

A

real and distinct

B

imaginary

C

equal

D

rational and equal

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The correct Answer is:
D
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