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Syllabus

Constructions

ICSE · Class 10 · Mathematics

Complete topic list for Constructions in ICSE Class 10 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

45 questions20 flashcards4 concepts

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A step-by-step labeled diagram illustrating the construction of two tangents to a circle from an external point using a compass and ruler.
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4 Topics · ICSE Class 10 Mathematics

Topics in Constructions

1

Tangents to a Circle from an External Point

  • Two tangents can be drawn from any external point to a circle
  • Only one tangent can be drawn if the point lies on the circle
  • No tangent can be drawn if the point lies inside the circle
2

Circumscribing a Circle (Circumcircle)

  • Circumcircle passes through all three vertices of the triangle
  • Center of circumcircle is the circumcenter - intersection of perpendicular bisectors
  • All three perpendicular bisectors of sides meet at one point (circumcenter)
3

Inscribing a Circle (Incircle)

  • Incircle touches all three sides of the triangle internally
  • Center of incircle is the incenter - intersection of angle bisectors
  • All three angle bisectors meet at one point (incenter)
4

Constructions with Regular Hexagon

  • Regular hexagon has 6 equal sides and 6 equal angles (each 120°)
  • Can be divided into 6 equilateral triangles
  • Circumradius equals the side length

Key Concepts

From any external pointTo construct tangents from external pointA circumscribed circle (circumcircle) passes throughAn inscribed circle (incircle) touches all

Frequently Asked Questions

What are the important topics in Constructions for ICSE Class 10 Mathematics?
Constructions 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 Constructions — 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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All 22 chapters — ICSE Class 10 Mathematics Syllabus

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