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Math Help - Tangents & Circles

  1. #1
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    Question Tangents & Circles

    Write an equation for the circle:

    1. center (3,6), tangent to the axis

    2. center (-4,-7), tangent x=2


    Anyone who could explain the steps to solve these problems in the most simplest way possible would be greatly appreciated!

    Thanks in advance.
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by trancefanatic View Post
    Write an equation for the circle:

    1. center (3,6), tangent to the axis

    2. center (-4,-7), tangent x=2


    Anyone who could explain the steps to solve these problems in the most simplest way possible would be greatly appreciated!

    Thanks in advance.
    since the first circle is tangent to the x-axis the radius would be half of the y co-ordinate which is 3
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  3. #3
    o_O
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    2. You need a radius larger enough so that one end of the circle touches the line x = 2. How large of a radius would you need if your centre is at (-4, -7)? Perhaps making a quick sketch will make it easier to visualize.
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