Engineering Board Exam Reviewer · Circles · medium

Find the length of the common chord of the circles x2+y2=25 and (x-6)2+y2=25.

  1. 8
  2. 4
  3. 6
  4. 10

Answer

A. 8

Solution

Subtracting the equations gives 12x-36=0, so x=3. Then y2=25-9=16, y= 4, and the chord length is 8.

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