Question

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

    The equation of the tangent is:
    A A Correct Answer Incorrect Answer
    B B Correct Answer Incorrect Answer
    C C Correct Answer Incorrect Answer
    D D Correct Answer Incorrect Answer

    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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