What is the locus or the mid-point of all the chords of length 6cm with circle of radius 5cm and with center 0?

What is the locus or the mid-point of all the chords of length 6cm with circle of radius 5cm and with center 0?

Answer Details

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