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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.

38 questions20 flashcards5 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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3 Topics · ICSE Class 10 Mathematics

Topics in Constructions

1

1. Tangents to a Circle from an External Point

  • Two tangents can be drawn from an external point to a circle.
  • If a point lies on the circle, only one tangent can be drawn.
  • If a point lies inside the circle, no tangent can be drawn.
2

2. Steps of Construction for Tangents

  • Step 1: Join the centre O of the circle to the external point and draw segment OP.
  • Step 2: Draw the right bisector of OP, intersecting OP at M.
  • Step 3: Taking M as centre and OM = PM as radius, draw a circle to intersect the given circle at A and B.
3

3. Syllabus Focus: Circle Constructions with Triangle and Regular Hexagon

  • The chapter includes circumscribing and inscribing a circle on a triangle and a regular hexagon.
  • Circumscribing means drawing a circle around a figure passing through its vertices.
  • Inscribing means drawing a circle inside a figure touching its sides.

Key Concepts

Central concept: Construction with ruler and compass

Previous construction skillsTangent to a circleNumber of tangentsConstruction of two tangents from an external pointAuxiliary circleCircumscribing a circleInscribing a circle

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?
Understand the core concepts first, then work through the 38 practice questions available for this chapter. Revise formulas and 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.

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All 22 chapters — ICSE Class 10 Mathematics Syllabus

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