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Quadratics

Review question

Can we find the midpoint of a chord of this parabola?
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Ref: R8045

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Suggestion

Find the values of \(m\) for which the line \(y = mx\) is a tangent to the curve \(y^2 = 3x - 1\).

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The red curve here is \(y^2 = 3x-1\), while the blue line is \(y = mx\).