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If b gt a, then the equation (x-a)(x-b)-...

If `b gt a`, then the equation `(x-a)(x-b)-1=0`, has

A

both roots in `[a, b]`

B

both roots in `(-oo, 0)`

C

both roots in `(b, +oo)`

D

one root in `(-oo, a)` and other root in `(b, oo)`

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The correct Answer is:
D
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