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Quadratic Functions, Equations and Inequalities - Nature of Roots of Quadratic Equations

Quadratic Functions, Equations and Inequalities - Nature of Roots of Quadratic Equations

IP 3

Find the range of values of \(m\) for which the straight line\(y\ =\ mx\ +\ 2\) does not intersect with the curve \({{y}^{2}}\ =\ 3x.\) Hence, state the value of \(m\) for which the straight line is a tangent to the curve.

Solution:

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Answer:No intersection for \(m>\frac38\); tangent when \(m=\frac38\).

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