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Tan2Mid (Posted on 2020-03-11) Difficulty: 3 of 5
Let P be a point outside a circle with center O.
Let A and B be the two points on the circle such that
lines PA and PB are tangent to the circle.
Let N be an arbitrary point on line AB.
Let the line through N and perpendicular to ON
intersect lines PA and PB at points C and D respectively.

Prove that N is the midpoint of CD.

  Submitted by Bractals    
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Solution: (Hide)
See Jer's solution.

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  Subject Author Date
SolutionJer2020-03-14 22:48:23
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