The line $y=mx+\frac{3}{m}$ is a tangent to the parabola ${{y}^{2}}=kx$ for all values of $m$ where

Question

The line $y=mx+\frac{3}{m}$ is a tangent to the parabola ${{y}^{2}}=kx$ for all values of $m$ where $m
e 0$. Find the constant $k$ and the coordinates of the point of contact between the two graphs, giving your answer in terms of $m$. [4]

Accepted Answer

$\left( \frac{3}{{{m}^{2}}},\frac{6}{m} \right)$

2014 VJC P1 Q1

2014 VJC P1 Q1

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