Class 11Mathematics4-2.Quadratic Equations and InequationsQuadratic expressions and Position of roots
MediumIf $b > a$,then in which interval do the roots of the equation $(x - a)(x - b) - 1 = 0$ lie?
- ABoth roots in $[a, b]$
- BBoth roots in $(-\infty, a)$
- CBoth roots in $(b, +\infty)$
- DOne root in $(-\infty, a)$ and the other in $(b, +\infty)$
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View SolutionIf $\alpha$ and $\beta$ are the roots of the quadratic equation $ax^2 + bx + c = 0$ and $k$ is a real number,then the condition for $\alpha < k < \beta$ is given by:
Easy
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