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Q. If $b > a,$ then the equation $(x - a) (x - b) - 1 = 0$ has

IIT JEEIIT JEE 2000Complex Numbers and Quadratic Equations

Solution:

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From graph, it is clear that one of the roots of $(x-a)(x-b)-1=0$ lies in $(-\infty, a)$ and other lies in $(b, \infty)$