Pure Mathematics
Statistics

Worked Example 2

A curve [latex]C[/latex] has equation [latex]{{x}^{2}}-xy+{{y}^{2}}=12[/latex].

(a)

Show that [latex]\frac{\text{d}y}{\text{d}x}=\frac{y-2x}{2y-x}[/latex].

(b)

Find the equation of the tangents to the curve that are parallel to [latex]y-[/latex]axis.

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