Engineering Board Exam Reviewer · Circles · easy

Find the equation of the circle with center at the origin that passes through (-3,4).

  1. x2 + y2 - 5 = 0
  2. x2 + y2 - 7 = 0
  3. x2 + y2 - 49 = 0
  4. x2 + y2 - 25 = 0

Answer

D. x2 + y2 - 25 = 0

Solution

r2=(-3)2+42=25, so x2+y2=25.

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