Describe the locus of the midpoints of all chords of a given length in a circle of radius r.
Loci
Original Khojo Papers practice question — not from a past board paper.
The locus is a pair of straight lines parallel to the given line, one on each side of it, each at a distance of 3 cm from it.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Students often give only one of the two lines; both sides satisfy the condition.
From the same topic and chapter, at a similar level.
Describe the locus of the midpoints of all chords of a given length in a circle of radius r.
Loci
A treasure is buried in a rectangular field so that it is 5 m from one corner and equidistant from two adjacent sides that meet at that corner. Describe how to locate it.
Loci
Describe the locus of the centres of all circles of radius 3 cm that touch a given straight line.
Loci
Describe the locus of the centres of all circles that pass through two fixed points A and B.
Loci
Construct a triangle ABC with AB = 6 cm, BC = 5 cm and AC = 4 cm. Then construct the locus of points equidistant from A and B, and the locus of points equidistant from AB and AC. Mark the point P where the two loci meet.
Loci
Describe the locus of a point that moves so that its distance from a fixed point is always equal to its distance from a fixed straight line.
Loci