Home » Past Questions » Mathematics » What is the locus or the mid-point of all the chords of length 6cm with circle o...

What is the locus or the mid-point of all the chords of length 6cm with circle o...


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?

Options

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

The correct answer is 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

More Past Questions:


Dicussion (1)