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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_e c)/(log_e a)`

B

1 and `(log_e c)/(log_e a)`

C

1 and `(log_e c)`

D

-1 and `(log_e a)`

Text Solution

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The correct Answer is:
C
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