Quadratic Functions, Equations and Inequalities - Intersection of a Line and a Curve

Quadratic Functions, Equations and Inequalities - Intersection of a Line and a Curve

TGM Original Questions

Find the range of values of \(p\) for which the line \(y=px+7\) intersects the curve \({{x}^{2}}+{{y}^{2}}=3x+2\) at two distinct points.

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Answer:\(p<(21-\sqrt{799})/4\) or \(p>(21+\sqrt{799})/4\).

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