A curve $C$ has equation ${{x}^{2}}-xy+{{y}^{2}}=12$. Show that $\frac{\mathrm{d}y}{\mathrm{d}x}=\fr

Question

A curve $C$ has equation ${{x}^{2}}-xy+{{y}^{2}}=12$. Show that $\frac{\mathrm{d}y}{\mathrm{d}x}=\frac{y-2x}{2y-x}$. Find the equation of the tangents to the curve that are parallel to $y-$axis.

Accepted Answer

(a) $\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y-2x}{2y-x}$ (b) $x=4$ and $x=-4$

Worked Example 2

Worked Example 2

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