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If a, b and c are positive numbers in a G.P., then the roots of the quadratic equation `(log_ea)x^2-(2log_eb)x.+(log_ec)=0` are

A

`-1 and (log_ec)/(log_ea)`

B

`1 and- (log_ec)/(log_ea)`

C

`1 and log_ac`

D

`-1 and log_ca`

Text Solution

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The correct Answer is:
C
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