Class 10 · ICSE · Mathematics

Loci

The locus of a point satisfying a given condition, and constructions based on standard loci.

Questions: 14
PYQs: 0
Topics: 0

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14 questions in this chapter.

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Class 10 · Mathematics · Loci
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.
4 marksHardApplication based
Answer available
Class 10 · Mathematics · Loci
Define the locus of a point.
2 marksEasyShort answer
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Class 10 · Mathematics · Loci
The locus of a point equidistant from the arms of an angle is:
1 markEasyMCQ
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Class 10 · Mathematics · Loci
State the locus of a point that is at a constant distance of 3 cm from a given straight line.
3 marksMediumShort answer
Answer available
Class 10 · Mathematics · Loci
Describe the locus of the centres of all circles that pass through two fixed points A and B.
3 marksMediumShort answer
Answer available
Class 10 · Mathematics · Loci
Describe the locus of the midpoints of all chords of a given length in a circle of radius r.
3 marksMediumShort answer
Answer available
Class 10 · Mathematics · Loci
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.
4 marksHardDiagram based
Answer available
Class 10 · Mathematics · Loci
Describe the locus of the centres of all circles of radius 3 cm that touch a given straight line.
3 marksMediumShort answer
Answer available
Class 10 · Mathematics · Loci
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.
4 marksMediumDiagram based
Answer available
Class 10 · Mathematics · Loci
State the locus of a point that is at a constant distance of 5 cm from a fixed point O.
2 marksEasyShort answer
Answer available
Class 10 · Mathematics · Loci
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.
3 marksMediumShort answer
Answer available
Class 10 · Mathematics · Loci
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.
3 marksMediumApplication based

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