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If one root of the equation (a-b) x^(2)+...

If one root of the equation `(a-b) x^(2)+a x+1=0` is double the other and if a is real, then the greatest value of b is

A

1)`(7)/(6)`

B

2) `(8)/(7)`

C

3)`(9)/(8)`

D

4)`(10)/(9)`

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The correct Answer is:
C
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