Class 11Mathematics4-2.Quadratic Equations and InequationsQuadratic expressions and Position of roots
MediumStatement-$I$: If the roots $\alpha, \beta$ of the equation $x^2 + 2(a - 3)x + 9 = 0$,$a \in R$ satisfy $\alpha < 6 < \beta$,then $a < -3/4$.
Statement-$II$: If $f(x) = x^2 + 2(a - 3)x + 9$,then $f(6) < 0 \implies a < -3/4$.
Statement-$II$: If $f(x) = x^2 + 2(a - 3)x + 9$,then $f(6) < 0 \implies a < -3/4$.
- AStatement-$I$ is true,Statement-$II$ is true,Statement-$II$ is a correct explanation for Statement-$I$.
- BStatement-$I$ is true,Statement-$II$ is true,Statement-$II$ is not a correct explanation for Statement-$I$.
- CStatement-$I$ is true,Statement-$II$ is false.
- DStatement-$I$ is false,Statement-$II$ is true.
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