Same chapter3 marksDifficulty: Medium
Describe the locus of the centres of all circles that pass through two fixed points A and B.
Loci
3 marksDifficulty: Medium
Describe the locus of the midpoints of all chords of a given length in a circle of radius r.
Original Khojo Papers practice question — not from a past board paper.
Answer
It is a circle concentric with the given circle, whose radius is the perpendicular distance from the centre to a chord of that length.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
All chords of equal length in a circle are equidistant from the centre, and the perpendicular from the centre bisects each of them.
Related questions
From the same topic and chapter, at a similar level.
Same chapter3 marksDifficulty: Medium
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
Same chapter4 marksDifficulty: Medium
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
Same chapter3 marksDifficulty: Medium
Describe the locus of the centres of all circles of radius 3 cm that touch a given straight line.
Loci
Same chapter3 marksDifficulty: Medium
State the locus of a point that is at a constant distance of 3 cm from a given straight line.
Loci
Same chapter3 marksDifficulty: Medium
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