Question
A line with slope m touches the parabola y ² = 4ax.
The equation of the tangent is:Solution
We are given the parabola and asked to find the equation of a tangent with slope m . For the parabola y ² = 4ax the equation of the tangent with slope m is: 
This result comes from ensuring the line y=mx+ctouches the parabola, i.e., intersects at only one point (discriminant = 0).
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