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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,a)`

C

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

D

one root in ` (-oo,a )`

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The correct Answer is:
D
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