Mathematics

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

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