H2 Math Question Bank Access Applications of Differentiation
2014 VJC P1 Q1
The line $y=mx+\frac{3}{m}$ is a tangent to the parabola ${{y}^{2}}=kx$ for all values of $m$ where $m\ne 0$.
Find the constant $k$ and the coordinates of the point of contact between the two graphs, giving your answer in terms of $m$.
[4]
Answer Key
$\left( \frac{3}{{{m}^{2}}},\frac{6}{m} \right)$
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