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Math Help - Normal on a curve

  1. #1
    Junior Member
    Joined
    Dec 2010
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    26

    Smile Normal on a curve

    I would be gratefull if anybody can help me on this problem.

    Plot the curve y = 1/2X ^ 2 and decide the equation for the
    normal lines which can be drawn to the curve from the point (0,9).
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  2. #2
    Senior Member
    Joined
    Dec 2010
    Posts
    470
    Consider a line l from (0,9) to a point on the curve (a, \frac{1}{2}a^2).
    Find the slope.of the tangent line l' to the curve at x=a.
    Check when l is perpendicular to l' using slope.
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