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Syllabus

Circle — Syllabus

Maharashtra Board · Class 10 · Mathematics

What Circle covers in Maharashtra Board Class 10 Mathematics: 4 topics, for the 2026-27 session. Topics include Circles through given points and basic.

44 questions31 flashcards5 concepts

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4 Topics · Maharashtra Board Class 10 Mathematics · 2026-27

Topics in Circle

1

1. Circles through given points and basic line positions

  • Infinite circles pass through one point.
  • Infinite circles pass through two distinct points.
  • There is a unique circle through three non-collinear points.
2

2. Tangent properties and touching circles

  • A tangent at any point of a circle is perpendicular to the radius at the point of contact.
  • A line perpendicular to a radius at its point on the circle is a tangent to the circle.
  • Two tangents can be drawn to a circle from a point outside the circle.
3

3. Arcs, central angle, and arc measure

  • A secant divides a circle into two arcs.
  • The arc on the same side as the centre is the major arc.
  • The arc on the other side is the minor arc.
4

4. Inscribed angle theorem and its corollaries

  • An inscribed angle has its vertex on the circle and its arms cut the circle at two other points.
  • The measure of an inscribed angle is half the measure of the intercepted arc.
  • Angles inscribed in the same arc are congruent.

Key Concepts

Central concept: Circle geometry and its angle, arc, tangent, secant, and chord relationships

Circles through given pointsTangent and secantTouching circlesArc of a circleCentral angleCongruence of arcsInscribed angle and intercepted arcCyclic quadrilateral

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Frequently Asked Questions

What are the important topics in Circle for Maharashtra Board Class 10 Mathematics?
Key topics in Circle include Circles through given points and basic line positions, Tangent properties and touching circles, Arcs, central angle, and arc measure, Inscribed angle theorem and its corollaries. Study these first, then practise questions on each for the Maharashtra Board Class 10 board exam.
How should I revise Circle for the Maharashtra Board Class 10 board exam?
Learn the core ideas first, then work through the 44 practice questions on Circle. Revise 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.

More resources for Circle

All Maharashtra Board Class 10 Mathematics Syllabus

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