A curve $C$ has equation $3{{y}^{2}}-2xy+3{{x}^{2}}-96=0$ . Find the exact $x$-coordinates of the st

Question

A curve $C$ has equation $3{{y}^{2}}-2xy+3{{x}^{2}}-96=0$ . Find the exact $x$-coordinates of the stationary points of $C$. [4] For the stationary point with $x [3] Find the equation(s) of the tangent(s) to $C$ which are parallel to the $y$-axis. [3]

Accepted Answer

(i) $x = 2$ or $x = -2$ (ii) minimum point (iii) $x = 6$ or $x = -6$

2018 PJC P1 Q6

2018 PJC P1 Q6

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