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]

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 $m$.

Applications of Differentiation

H2 Math

International Baccalaureate Higher Level Mathematics

2014 VJC P1 Q1

2014 VJC P1 Q1

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