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Chapter 12 of 26
Revision Notes

Concurrent Lines

NIOS · Class 10 · Maths

Quick revision notes for Concurrent Lines — NIOS Class 10 Maths. Key concepts, formulas, and definitions for last-minute revision.

45 questions20 flashcards4 concepts

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A diagram illustrating different ways two or more distinct lines can interact in a plane: intersecting lines, parallel lines, and concurrent lines.
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Key Topics to Revise

1

Basic Concepts and Definitions

  • Three lines can intersect in 0, 1, 2, or 3 points maximum
  • Concurrent lines pass through exactly one common point
  • The common point is called the point of concurrency
2

Angle Bisectors and Incentre

  • Three angle bisectors of any triangle are concurrent
  • Point of concurrency is called the Incentre (I)
  • Incentre is equidistant from all three sides of the triangle
3

Perpendicular Bisectors and Circumcentre

  • Three perpendicular bisectors of triangle sides are concurrent
  • Point of concurrency is called Circumcentre (O)
  • Circumcentre is equidistant from all three vertices
4

Altitudes and Orthocentre

  • Three altitudes of any triangle are concurrent
  • Point of concurrency is called Orthocentre (H)
  • Position depends on triangle type

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Full Notes

Key Concepts

The three angle bisectors ofThe three perpendicular bisectors ofThe three altitudes of a triangleThe three medians of a triangle

Frequently Asked Questions

What are the important topics in Concurrent Lines for NIOS Class 10 Maths?
Concurrent Lines covers several key topics that are frequently asked in NIOS 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 Concurrent Lines — NIOS Class 10 Maths?
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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