Do not use a calculator in answering this question. A curve $C$ has equation ${{y}^{2}}+3xy=13+{{x}^

Question

Do not use a calculator in answering this question. A curve $C$ has equation ${{y}^{2}}+3xy=13+{{x}^{2}}$. Find the coordinates of the stationary points of $C$. [4] For the stationary point with $x>0$, determine whether it is a maximum or minimum point. [3]

Accepted Answer

$(3, 2)$ is minimum; $(-3, -2)$ is maximum

2023 ACJC Promo Q4

2023 ACJC Promo Q4

Video Solution:

Solution:

Handwritten & Typed Solutions