JAMB Mathematics 2009 Objective — Question 31
Question 31 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2009 Objective paper, with the correct answer and a full explanation.
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What is the locus of the mid-point of all chords of length 6 cm with a circle of radius 5 cm and with centre O?
- A. A circle of radius 5 cm and with centre OCorrect
- B. the perpendicular bisector of the chords
- C. A straight line passing through centre O
- D. A circle of radius 6 cm and with centre O
Explanation
The locus of the mid-points of all chords of equal length in a circle is itself a circle, concentric with the original, with a smaller radius determined by the half-chord length and original radius.
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