Differentiation - Tangents and Normals at a Point
Differentiation - Tangents and Normals at a Point
TGM Original Questions
The diagram shows the curve \(y = \frac{2x + 4}{x - 1}\), which crosses the \(x\)-axis at \(P\) and the \(y\)-axis at \(S\).
The normal to the curve at \(P\) meets the \(y\)-axis at \(Q\). \(R\) is the point where the normal meets the curve again.
- Find the length of \(QS\).
- Find the coordinates of \(R\).
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Answer:(i) \(7\) units (ii) \(R=\left(\dfrac73,\dfrac{13}{2}\right)\)
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