The curve $C$ has the equation ${{x}^{2}}+{{y}^{2}}-2xy+3x=4$. Find \(\frac{\mathrm{d}y}{\mathrm

Question

The curve $C$ has the equation ${{x}^{2}}+{{y}^{2}}-2xy+3x=4$. Find $\frac{\mathrm{d}y}{\mathrm{d}x}$ in terms of $x$ and $y$. [2] Find the equation of the tangent to $C$ which is parallel to the $y$-axis. [3]

Accepted Answer

(i) $\dfrac{dy}{dx}=\dfrac{2y-2x-3}{2y-2x}$ (ii) $x=\dfrac43$

2023 JPJC Promo Q3

2023 JPJC Promo Q3

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