A curve $C$ has equation $x^2-3xy+2y^2=6$. Find the equations of the tangents to the curve at th

Question

A curve $C$ has equation $x^2-3xy+2y^2=6$. Find the equations of the tangents to the curve at the points where $x=1$.[5] Find the acute angle between these tangents.[2] Determine if curve $C$ has any stationary points.[3]

Accepted Answer

(a) $14y=11x+24$, $7y=5x-12$ (b) $\tan^{-1}\left(\dfrac7{153}\right)\approx2.62^\circ$ (c) No stationary points.

2026 HCI Promo Q8

2026 HCI Promo Q8

Solution:

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