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Math Help - Closest Point

  1. #1
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    Closest Point

    I have to find the closest point on the curve x2 + y2 = 1 to the point (2,0).

    Note: the two 2's in the given equation are superscripts so x2 is x squared and y2 is y squared
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  2. #2
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    Quote Originally Posted by deltaX View Post
    I have to find the closest point on the curve x2 + y2 = 1 to the point (2,0).

    Note: the two 2's in the given equation are superscripts so x2 is x squared and y2 is y squared
    Hi deltax,

    in this example, it's important that you can recognise x^2+y^2=1

    as a circle of radius 1, centred at the origin.

    this circle crosses the x-axis closest to (2,0) at the point (1,0).

    x^2+y^2=1 is the set of all points a distance=1 from the origin.
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  3. #3
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    Quote Originally Posted by deltaX View Post
    I have to find the closest point on the curve x2 + y2 = 1 to the point (2,0).
    Come on will you.
    Look at the graph.
    Attached Thumbnails Attached Thumbnails Closest Point-untitled.gif  
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