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Study Plan

Locus — Study Plan

ICSE · Class 10 · Mathematics

A step-by-step study plan for Locus, ICSE Class 10 Mathematics: what to learn first, what to practise and when to revise.

37 questions24 flashcards5 formulas & key relations5 concepts

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An illustration defining locus as the path of a moving point under a given condition, with a specific example of a point at a fixed distance from a fixed point forming a circle.
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Study Plan

1
Day 1–2

Learn the Theory

Read the textbook chapter carefully. Note down definitions, formulas and key ideas. Focus on: 1. Core Idea of Locus, 2. Theorem 1: Points Equidistant from Two Fixed Points, 3. Theorem 2: Points Equidistant from Two Intersecting Lines.

2
Day 3

Practise

Solve the textbook exercises and extra practice questions. There are 37 questions available for this chapter.

3
Day 4

Revise & Test

Revise key points without looking at your notes. Take a practice quiz and mark weak areas for another pass.

4
Day 7

Spaced Revision

Come back to Locus after a week. Use flashcards for quick recall and try past exam questions on this chapter.

What to Focus On

  • Locus means path traced by a moving point.
  • Every point on the locus satisfies the condition.
  • Every point satisfying the condition lies on the locus.
  • The locus equidistant from two fixed points is the perpendicular bisector of the segment joining them.
  • SSS congruence is used in the first part of the proof.
  • The angles at M become 90 degrees, so PM is perpendicular to AB.
  • The locus equidistant from two intersecting lines is a pair of angle bisectors, not a single line.
  • Point O is the only point on both lines that is equidistant from both lines.
  • RHS congruence is used in the converse proof.

Common Mistakes to Avoid

The locus of points equidistant from two fixed points is the angle bisector of the segment joining them.

The locus of points equidistant from two intersecting lines is a single angle bisector line.

The locus of a point at a given distance from a straight line is a single line parallel to it.

Memory Tips

Definition of locus

Key property of locus

Nature of locus

Plural of locus

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Frequently Asked Questions

What are the important topics in Locus for ICSE Class 10 Mathematics?
Key topics in Locus include Core Idea of Locus, Theorem 1: Points Equidistant from Two Fixed Points, Theorem 2: Points Equidistant from Two Intersecting Lines, Standard Locus Cases. Study these first, then practise questions on each for the ICSE Class 10 board exam.
How should I revise Locus for the ICSE Class 10 board exam?
Learn the core ideas first, then work through the 37 practice questions on Locus. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Locus

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