What is the locus or the mid-point of all the c... - JAMB Mathematics 2009 Question
What is the locus or the mid-point of all the chords of length 6cm with circle of radius 5cm and with center 0?
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 option: a
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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