Maharashtra State Board 10th Standard Geometry Maths 2 Syllabus - Free PDF Download
Maharashtra State Board Syllabus 2026-27 10th Standard: The Maharashtra State Board 10th Standard Geometry Maths 2 Syllabus for the examination year 2026-27 has been released by the MSBSHSE, Maharashtra State Board. The board will hold the final examination at the end of the year following the annual assessment scheme, which has led to the release of the syllabus. The 2026-27 Maharashtra State Board 10th Standard Geometry Maths 2 Board Exam will entirely be based on the most recent syllabus. Therefore, students must thoroughly understand the new Maharashtra State Board syllabus to prepare for their annual exam properly.
The detailed Maharashtra State Board 10th Standard Geometry Maths 2 Syllabus for 2026-27 is below.
Academic year:
Maharashtra State Board 10th Standard Geometry Mathematics 2 Revised Syllabus
Maharashtra State Board 10th Standard Geometry Mathematics 2 Course Structure 2026-27 With Marking Scheme
| # | Unit/Topic | Marks | Marks with options |
|---|---|---|---|
| 1 | Similarity | 10 | |
| 2 | Pythagoras Theorem | 7 | |
| 3 | Circle | 12 | |
| 4 | Geometric Constructions | 7 | |
| 5 | Co-ordinate Geometry | 7 | |
| 6 | Trigonometry | 7 | |
| 7 | Mensuration | 10 | |
| Total | - | - |
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Syllabus
1 Similarity [Revision]
- Ratios of Areas of Two Triangles
- Basic Proportionality Theorem
- Theorem
- Property of an Angle Bisector of a Triangle
- Theorem: The bisector of an angle of a triangle divides the side opposite to the angle in the ratio of the remaining sides.
- Property of Three Parallel Lines and Their Transversals
- Theorem: The ratio of the intercepts made on a transversal by three parallel lines is equal to the ratio of the corresponding intercepts made on any other transversal by the same parallel lines.
- Similarity of Triangles (Corresponding Sides & Angles)
- Corresponding Sides
- Corresponding Angles
- Theorem of Areas of Similar Triangles
- Overview of Similarity
2 Pythagoras Theorem [Revision]
- Pythagorean Triplet
- Property of 30°- 60°- 90° Triangle Theorem
- Property of 45°- 45°- 90° Triangle Theorem
- Theorem of Similarity in Right Angled Triangle
- Theorem of Geometric Mean
- Pythagoras Theorem
- Application of Pythagoras Theorem
- Apollonius Theorem
- Overview of Pythagoras Theorem
3 Circle [Revision]
- Properties of Chords of a Circle
- Circles Passing Through One, Two, Three Points
- Infinite circles pass through one point.
- Infinite circles pass through two distinct points.
- There is a unique circle passing through three non-collinear points.
- No circle can pass through 3 collinear points.
- Secant and Tangent
- Introduction
- Definition: Secant
- Definition: Tangent
- Key Points Summary
- Tangent Theorem
- Tangent Segment Theorem
- Theorem: Tangent segments drawn from an external point to a circle are congruent.
- Touching Circles
- Arc of the Circle
- Introduction
- Formation of Arcs
- Minor Arc
- Major Arc
- Key Points Summary
- Central Angle and the Measure of an Arc
- Congruence of Arcs
- Two arcs are congruent if their measures and radii are equal.
- Property of Sum of Measures of Arcs
- Theorem: The chords corresponding to congruent arcs of a circle (or congruent circles) are congruent.
- Theorem: Corresponding arcs of congruent chords of a circle (or congruent circles) are congruent.
- Inscribed Angle & Intercepted Arc
- Cyclic Quadrilateral
- Overview of Circle
- Theorem of Angle between Tangent and Secant
- Theorem of Internal Division of Chords
- Theorem of External Division of Chords
- Tangent Secant Segments Theorem
4 Geometric Constructions [Revision]
- Construction of Similar Triangle
- To construct a triangle, similar to the given triangle, bearing the given ratio with the sides of the given triangle.
(i) When vertices are distinct
(ii) When one vertex is common
- To construct a triangle, similar to the given triangle, bearing the given ratio with the sides of the given triangle.
- Construction of a Tangent to a Circle at a Point on the Circle
- Construction of a Tangent to a Circle from a Point Outside the Circle
- Overview of Geometric Constructions
5 Co-ordinate Geometry [Revision]
- Distance Formula
- Division of a Line Segment
- Division of Line Segment in a Given Ratio
- Construction of a Triangle Similar to a Given Triangle
- To divide a line segment in a given ratio
- To construct a triangle similar to a given triangle as per given scale factor
- Section Formula in Coordinate Geometry
- Formula
- Division of Line Segment
- Proof
- Examples
- Mid-Point Formula
- Formula
- Examples
- Formula for the Centroid of a Triangle
- Formula
- Example
- Concept of Slope (or, gradient)
- Overview of Co-ordinate Geometry
6 Trigonometry [Revision]
- Trigonometric Ratios
- Trigonometric Table
- Trigonometric Identities (Square Relations)
- Angles of Elevation and Depression
- Definition: Line of Sight
- Definition: Angles of Elevation
- Definition: Angle of Depression
7 Mensuration [Revision]
- Problems on Mensuration
- Important Terms(law)
- Examples
- Frustum of a Cone
- Sector of a Circle
- Introduction
- Types of Sectors
- The Quadrant
- Key Points Summary
- Area of a Sector
- Length of an Arc
- Segment of a Circle
- Introduction
- Types of Segments
- Key Points Summary
- Area of a Segment
- Overview of Mensuration
