Same chapter3 marksDifficulty: Medium
Describe the locus of the midpoints of all chords of a given length in a circle of radius r.
Loci
4 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.
Original Khojo Papers practice question — not from a past board paper.
Answer
The first locus is the perpendicular bisector of AB and the second is the bisector of angle A; P is the point where they cross.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
The construction needs a pair of compasses only: equal arcs from A and B for the perpendicular bisector, and equal arcs on AB and AC from A for the angle bisector.
Related questions
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Same chapter3 marksDifficulty: Medium
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Same chapter3 marksDifficulty: Medium
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Loci