Question

A line with slope m touches the parabola y ² = 4ax.

Q: Answer-A line with slope m touches the parabola y ² = 4ax. The equation of the tangent is:

We are given the parabola and asked to find the equation of a tangent with slope m . For the parabola y 4ax the equation of the tangent with slope m is This result comes from ensuring the line ymxctouches the parabola, i.e., intersects at only one point discriminant 0.