A parameter giving a single pair

A parameter giving a single pair

6 marks
TGM Original
The simultaneous equations are y=mx+1 and x2+y2=1, where m is real. Find the value of m for which there is exactly one solution pair. Find both pairs when m=2.

Solution:

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Answer:\(m=0\). For \(m=2\), \((0,1)\) and \(\left(-\dfrac45,-\dfrac35\right)\).

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