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What is the locus or the mid-point of all the chords of length 6cm with circle of ...

What is the locus or the mid-point of all the chords of length 6cm with circle of radius 5cm and with center 0?
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
  • 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
Correct Answer: Option A
Explanation:

x2 + 33 = 52

x2 + 9 = 25

x2 = 25 – 9

x2 = 16

x = √ 16

= 4 cm

∴ The locus is a circle of radius 4 cm with the center 0

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