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a, b, c are positive real numbers formin...

a, b, c are positive real numbers forming a A.P. If `ax^(2) + bx +c = 0` has real roots then

A

`|sqrt((a)/(c )) + sqrt((c )/(a))| ge 2 sqrt3`

B

`|sqrt((a)/(c )) + sqrt((c )/(a))| le 2 sqrt3`

C

`|sqrt((a)/(c ))- sqrt((c )/(b))| ge 2 sqrt3`

D

`|sqrt((a)/(c ))- sqrt((c )/(a))| le 2 sqrt3`

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The correct Answer is:
C
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