1.

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) Both roots in (b, +oo) "" (d) One root in (-oo, a) and the other in (b, +oo)

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SOLUTION :Given equation is `(x-a)(x-b)-1=0`
Let `""F(x)= (x-a)(x-b)-1`
`""f(a)=-1`
and `""f(b)=-1`
GRAPH of `f(x)` is concave upwards, HENCE `a and b` lie between the roots.

Also `b gt a`, then one root is in `(-OO, a)` and the other is in `(b, +oo)`.


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