N2017 P1 Q3
N2017 P1 Q3
Junior College 2
7 marks
Do not use a calculator in answering this question.
A curve \(C\) has equation \(y^2-2xy+5x^2-10=0\).
- Find the exact \(x\)-coordinates of the stationary points of \(C\).[4]
- For the stationary point with \(x>0\), determine whether it is a maximum or minimum.[3]
Solution:
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Answer:(i) \(x=\pm1/\sqrt2\); (ii) maximum.
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