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 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