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

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

Secondary 3

Find the range of values of \(k\) for which the line \(y=2x+k\) does not intersect the curve \({{x}^{2}}+{{y}^{2}}=12\).

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Answer:\(k<-2\sqrt{15}\) or \(k>2\sqrt{15}\)

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