Do not use a calculator in answering this question. A curve $C$ is given by the equation \(x^2 + 2

Question

Do not use a calculator in answering this question. A curve $C$ is given by the equation $x^2 + 2xy + 4y^2 = 8$. By considering the intersection between $C$ and a suitable line, or otherwise, find the exact range of $y$-values attained by $C$.[4]

Accepted Answer

$-\sqrt{\dfrac83}\le y\le\sqrt{\dfrac83}$

2025 TJC Promo Q2

2025 TJC Promo Q2

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