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If b(1)b(2)=2(c(1)+c(2)) and b(1), b(2),...

If `b_(1)b_(2)=2(c_(1)+c_(2)) and b_(1), b_(2), c_(1), c_(2)` are all real numbers, then at least one of the equations `x^(2)+b_(1)x+c_(1)=0` and `x^(2)+b_(2)x+c_(2)=0` has

A

real roots

B

purely imaginary roots

C

roots of the form `a +ib (a, b in R, ab ne 0)`

D

rational roots

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The correct Answer is:
a
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