Curve $C$ has equation ${{\left( x+y \right)}^{2}}+2{{\left( x-y \right)}^{2}}=24$. Find the equatio

Question

Curve $C$ has equation ${{\left( x+y \right)}^{2}}+2{{\left( x-y \right)}^{2}}=24$. Find the equation of a tangent to $C$ such that this tangent crosses the positive $x$- and positive $y$-axes and makes an angle of $45{}^\circ $ to the horizontal. [4]

Accepted Answer

$y=-x+2\sqrt{6}$

2019 ACJC Promo Q6 (b)

2019 ACJC Promo Q6 (b)

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