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 a point that moves so that its distance from a fixed point is always equal to its distance from a fixed straight line.
Original Khojo Papers practice question — not from a past board paper.
Answer
The locus is a parabola with the fixed point as its focus and the fixed line as its directrix.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
The condition is precisely the focus–directrix definition of a parabola.
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.
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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
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
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