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Revision Notes

Locus

ICSE · Class 10 · Mathematics

Quick revision notes for Locus — ICSE Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

45 questions21 flashcards4 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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Key Topics to Revise

1

Basic Concept of Locus

  • Locus is the path traced by a moving point under given conditions
  • Every point satisfying the given conditions lies on the locus
  • Every point on the locus satisfies the given conditions
2

Theorem 1: Locus of Point Equidistant from Two Fixed Points

  • The locus is the perpendicular bisector of the line segment joining the two points
  • Every point on this perpendicular bisector is equidistant from the two fixed points
  • The converse is also true - if a point is equidistant from two points, it lies on their perpendicular bisector
3

Theorem 2: Locus of Point Equidistant from Two Intersecting Lines

  • The locus consists of pair of lines bisecting the angles between the given lines
  • There are four angles formed by two intersecting lines
  • The angle bisectors are perpendicular to each other
4

Standard Locus Cases

  • Circle: Locus of points at fixed distance from fixed point
  • Parallel line: Locus of points equidistant from two parallel lines
  • Pair of parallel lines: Locus at given distance from a line

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Full Notes

Key Concepts

The locus of a moving pointThe locus of a point equidistantThe locus of a point equidistantThe locus of a point at

Frequently Asked Questions

What are the important topics in Locus for ICSE Class 10 Mathematics?
Locus covers several key topics that are frequently asked in ICSE Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Locus — ICSE Class 10 Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.

Sources & Official References

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

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