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Consider the quadratic equation az^(2)+b...

Consider the quadratic equation `az^(2)+bz+c=0` where `a,b,c` are non-zero complex numbers. Now answer the following.
The condition that the equation has both roots purely imaginary is

A

`(overlinea)/(a)=(overlineb)/(b)=(overlinec)/(c)`

B

`(overlinea)/(a)=-(overlineb)/(b)=(overlinec)/(c)`

C

`(overlinea)/(a)=(overlineb)/(b)=-(overlinec)/(c)`

D

`-(overlinea)/(a)=(overlineb)/(b)=(overlinec)/(c)`

Text Solution

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The correct Answer is:
B
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