2026 RVHS P1 Q3

Junior College 2

6 marks

A curve $C$ has equation $y-2\sqrt3x+3e^{-y}=0$, for $x>0$. The normal to $C$ at a point $P$ has positive gradient and makes an angle of $30^\circ$ with the $x$-axis. Find the exact equation of this normal.[6]

Solution:

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Answer:$y=\frac{x}{\sqrt3}-\frac12$

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