Same chapter4 marksDifficulty: Hard
A point moves so that it is always 4 cm from a fixed point O and equidistant from two perpendicular lines through O. Describe the locus and state how many such points there are.
Loci
4 marksDifficulty: Hard
Construct a triangle PQR with PQ = 7 cm, QR = 6 cm and PR = 5 cm. Construct the locus of points inside the triangle that are equidistant from PQ and PR, and the locus of points 3 cm from Q. Mark the points where they meet.
Original Khojo Papers practice question — not from a past board paper.
Answer
The first locus is the bisector of angle P and the second is an arc of a circle of radius 3 cm centred at Q; the required points are where the arc crosses the bisector.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
Each condition gives a locus, and the points satisfying both conditions are the intersections of the two loci.
Related questions
From the same topic and chapter, at a similar level.
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 chapter2 marksDifficulty: Easy
State the locus of a point that is equidistant from two intersecting straight lines.
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Same chapter2 marksDifficulty: Easy
Define the locus of a point.
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Same chapter2 marksDifficulty: Easy
State the locus of a point that is at a constant distance of 5 cm from a fixed point O.
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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