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Two circles intersect at points A and B. If the line segment AB is the common ch

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Question: Two circles intersect at points A and B. If the line segment AB is the common chord, what can be said about the perpendicular from the center of either circle to AB?

Options:

  1. It bisects AB
  2. It is equal to AB
  3. It is longer than AB
  4. It is shorter than AB

Correct Answer: It bisects AB

Solution:

The perpendicular from the center of a circle to a chord bisects the chord.

Two circles intersect at points A and B. If the line segment AB is the common ch

Practice Questions

Q1
Two circles intersect at points A and B. If the line segment AB is the common chord, what can be said about the perpendicular from the center of either circle to AB?
  1. It bisects AB
  2. It is equal to AB
  3. It is longer than AB
  4. It is shorter than AB

Questions & Step-by-Step Solutions

Two circles intersect at points A and B. If the line segment AB is the common chord, what can be said about the perpendicular from the center of either circle to AB?
  • Properties of Chords – The perpendicular from the center of a circle to a chord bisects the chord, which is a fundamental property in circle geometry.
  • Circle Intersection – Understanding how two circles can intersect and the implications of their common chord.
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