Multiple Choice Question (MCQ)

If point A(3,5) is located on a circle in the coordinate plane, and the center of the circle is the origin, which of the following points lie outside this circle?

  1. (1.0,6.0)

  2. ×

    (1.5,5.5)

  3. ×

    (2.5,4.5)

  4. ×

    (4.0,4.0)

  5. ×

    (5.0,3.0)

Collected in the board: Coordinate geometry

Steven Zheng posted 2 months ago


Answer

  1. The radius of the circle is


    \sqrt{3^2+5^2}=\sqrt{34}


    If any point is located on the circle, its coordinate meets the following equation,

    x^2+y^2=37


    Only A(1.0,6.0) meets the condition

Steven Zheng posted 2 months ago

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