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Chapter Summary

Locus — Chapter Summary

ICSE · Class 10 · Mathematics

Summary of Locus for ICSE Class 10 Mathematics. Key concepts: The locus of a moving point, A point at a fixed distance and The locus of a point.

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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Overview

Locus is the path traced by a moving point under a given condition. It can be a line or a curve. A point on a locus always satisfies the given condition, and every point satisfying the condition lies on the locus. The chapter builds this idea through basic definitions, standard cases, and two main t

Key Concepts

The locus of a moving point

The locus of a moving point is the path traced under the given condition. It is found by identifying all points that satisfy the condition and joining

A point at a fixed distance

A point at a fixed distance from a fixed point traces a circle with the fixed point as centre and the fixed distance as radius.

The locus of a point equidistant

The locus of a point equidistant from two given points is the perpendicular bisector of the line segment joining the two points. In the proof, triangl

The locus of a point equidistant

The locus of a point equidistant from two intersecting lines is the pair of lines bisecting the angles between the lines. In the proof, triangles OPM

The locus of a point at

The locus of a point at a given distance from a given straight line is a pair of straight lines parallel to the given line and at the given distance f

Learning Objectives

  • Understand the meaning of locus and loci
  • Recognize that a locus may be a line or a curve
  • Use the idea of locus to solve standard geometry cases
  • Apply the theorem for points equidistant from two fixed points
  • Apply the theorem for points equidistant from two intersecting lines

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

All ICSE Class 10 Mathematics Chapter Summary

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