Michigan State University - Diagnostic Exam

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5.1

  •   Which is the equation of a circle in the first quadrant of radius 2 and tangent to the x-axis at x = 5?

    a) (x - 5)2 + (y - 2)2 = 4 b) (x - 5)2 + (y - 2)2 = 1
      
    c) x2 + (y - 5)2 = 4 d) (x + 5)2 + (y + 2)2 = 4
      
    e) (x + 2)2 + (y + 5)2 = 1

Solution:

The circle must have center (5, 2) . It follows that (x - 5)2 + (y - 2)2 = 22 .

Diagnostic:

If you miss this question please review the equation of a circle.

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July 15, 2008