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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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Answer» 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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