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Lesson

Equidistant Loci

All points that remain at a constant distance from a given straight line form two parallel lines. One lies on each side of the original line, equidistant from it. This results from the fact that the shortest distance from a point to a line is measured along a perpendicular.

45min lesson

Objectives3 goals Lesson12 blocks Review7 assets Practice32 items

Learning objectives

What to understand

3 goals

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Understand equidistant loci in the Loci chapter.
Connect the idea with formulas, examples, and exam-style questions.
Use flashcards, notes, MCQs, and LAQs to check readiness.

Lesson

Step-by-step lesson

12 sections

Concept

Locus of Points Equidistant from Two Fixed Points

This locus is the perpendicular bisector of the segment joining the points. 💡 Exam Tip: Translate each condition into a geometric rule before drawing. When two conditions are given, look for the intersection of the two loci. ⚠️ Common Mistake: Students often draw only part of the locus or forget that the answer may be a pair of lines, not just one. 📌 Trigger: Condition → shape

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12 lesson sections2 cards / 5 notes18 MCQs / 14 written questions

Lesson Notes Flashcards Revision MCQs Written answers Topic test

Notes

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5 notes

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1
Locus of Points at a Fixed Distance from a Line
2
Locus of Points Equidistant from Two Fixed Points
3
Locus of Points Equidistant from Two Intersecting Lines
4
Geometric Constructions Involving Loci

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Practice

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32 prompts

18 MCQs14 LAQsMixed test

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In this chapter

Loci

Topic 5 of 7

Now on Equidistant Loci. Next up: Combining Loci.

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Fixed Distance from a Line
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Equidistant Loci

What to understand

Step-by-step lesson

Locus of Points Equidistant from Two Fixed Points

Locus of Points Equidistant from Two Fixed Points example

Locus of Points Equidistant from Two Intersecting Lines

Locus of Points Equidistant from Two Intersecting Lines example

Equidistant from Two Points

Locus of Points at a Fixed Distance from a Line

Locus of Points Equidistant from Two Fixed Points

Locus of Points Equidistant from Two Intersecting Lines

Geometric Constructions Involving Loci

Locus in Coordinate Geometry

Locus of points equidistant from two fixed points

Locus of points equidistant from two intersecting lines

Locus of Points Equidistant from Two Fixed Points

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Note highlights

Locus of Points at a Fixed Distance from a Line

Locus of Points Equidistant from Two Fixed Points

Locus of Points Equidistant from Two Intersecting Lines

Geometric Constructions Involving Loci

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Loci

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Around this topic

Equidistant Loci

What to understand

Step-by-step lesson

Locus of Points Equidistant from Two Fixed Points

Locus of Points Equidistant from Two Fixed Points example

Locus of Points Equidistant from Two Intersecting Lines

Locus of Points Equidistant from Two Intersecting Lines example

Equidistant from Two Points

Locus of Points at a Fixed Distance from a Line

Locus of Points Equidistant from Two Fixed Points

Locus of Points Equidistant from Two Intersecting Lines

Geometric Constructions Involving Loci

Locus in Coordinate Geometry

Locus of points equidistant from two fixed points

Locus of points equidistant from two intersecting lines

Locus of Points Equidistant from Two Fixed Points

Choose your next activity

Note highlights

Locus of Points at a Fixed Distance from a Line

Locus of Points Equidistant from Two Fixed Points

Locus of Points Equidistant from Two Intersecting Lines

Geometric Constructions Involving Loci

Check this topic

Loci

Mark this topic complete

Around this topic