2012 · Q34
The locus of the mid points of all equal chords in a circle is:
Elementary MathematicsGeometry
- Athe circumference of the circle concentric with the given circle and having radius equal to the length of the chords
- Bthe circumference of the circle concentric with the given circle and having radius equal to the distance of the chords from the centre
- Cthe circumference of the circle concentric with the given circle and having radius equal to half of the radius of the given circle
- Dthe circumference of the circle concentric with the given circle and having radius equal to half of the distance of the chords from the centre
Explanation
Equal chords are equidistant from the centre, so their mid-points lie on a concentric circle of radius equal to that common distance.