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 \(k\) for which the line \(y=2x+k\) does not intersect the curve \({{x}^{2}}+{{y}^{2}}=7\).

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Answer:\(k < -\sqrt{35} \text{ or}\hspace{0.5em} k > \sqrt{35}\)

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