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
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.
Original Khojo Papers practice question — not from a past board paper.
Answer
Draw the bisector of the angle at that corner and mark the point on it 5 m from the corner; that is where the treasure lies.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
Equidistance from the two sides gives the angle bisector, and the fixed distance from the corner gives a circle; they meet at one point inside the field.
Related questions
From the same topic and chapter, at a similar level.
Same chapter3 marksDifficulty: Medium
Describe the locus of the midpoints of all chords of a given length in a circle of radius r.
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.
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Same chapter3 marksDifficulty: Medium
Describe the locus of the centres of all circles of radius 3 cm that touch a given straight line.
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Same chapter3 marksDifficulty: Medium
State the locus of a point that is at a constant distance of 3 cm from a given straight line.
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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