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

Mathematics
JAMB 2009

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
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Correct Answer: Option A
Explanation

x\(^2\) + 3\(^3\) = 5\(^2\)
x\(^2\) + 9 = 25
x\(^2\) = 25 – 9
x\(^2\) = 16

x = √ 16 

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

There is an explanation video available below.


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Explanation Video

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