What is the locus of the mid-point of all the chords of length 6cm with circle of radius 5cm and with center O?

  • A A circle of radius 4 cm and the center 0
  • B The perpendicular bisector of the chords
  • C A straight line passing through 0
  • D A circle of radius 6 cm and with center 0

The correct answer is A. A circle of radius 4 cm and the center 0

Here is the

The locus of the mid-point of all the chords of length 6cm with a circle of radius 5cm and with center O is a circle with center O and radius \(\sqrt{5^2 - \left(\frac{6}{2}\right)^2} = \sqrt{25 - 9} = \sqrt{16} = 4 \text{ cm}\).

Therefore, the correct answer is A circle of radius 4 cm and the center O

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