Geometry 10th Standard Board Exam SSC (English Medium) Maharashtra State Board Topics and Syllabus

Maharashtra State Board Syllabus For 10th Standard Board Exam Geometry: Knowing the Syllabus is very important for the students of 10th Standard Board Exam. Shaalaa has also provided a list of topics that every student needs to understand.

The Maharashtra State Board 10th Standard Board Exam Geometry syllabus for the academic year 2021-2022 is based on the Board's guidelines. Students should read the 10th Standard Board Exam Geometry Syllabus to learn about the subject's subjects and subtopics.

Students will discover the unit names, chapters under each unit, and subtopics under each chapter in the Maharashtra State Board 10th Standard Board Exam Geometry Syllabus pdf 2021-2022. They will also receive a complete practical syllabus for 10th Standard Board Exam Geometry in addition to this.

Maharashtra State Board 10th Standard Board Exam Geometry Revised Syllabus

Maharashtra State Board 10th Standard Board Exam Geometry and their Unit wise marks distribution

Syllabus

1 Similarity
• Properties of ratios of areas of two triangles
• Basic proportionality theorem
• Introduction to similarity
• Similar triangles
• Areas of two similar triangles
• Similarity in right angled triangles
• Pythagoras theorem and its converse
• 30o-60o-90o theorem and 45o-45o-90o theorem
• Application of Pythagoras theorem in acute and obtuse angle.
• Appolonius theorem
3 Circle
• Tangents and its properties
• Theorem - Tangent at any point to the circle is perpendicular to the radius and its converse
• Number of tangents from a point to a circle
• Theorem- The length of two tangent segments drawn from a point outside the circle are equal
• Touching circles
• Introduction to an arc
• Angle subtended by the arc to the centre and to the point on the circle
• Tangent - Secant theorem
4 Co-ordinate Geometry
• Slope of a line
• Intercepts made by a line
• Standard forms of equation of a line
• General equation of a line
5 Geometric Constructions
• Division of line segment in a given ratio
• Basic geometric constructions
• Construction of tangent to the circle from the point on the circle and out side the circle.
• Construction of tangent without using centre
• Construction of triangle If the base, angle apposite to it and either median altitude is given
• Construction of a triangle similar to a given triangle
6 Trigonometry
• Angles in standard position
• Trigonometric ratios in terms of coordinates of point
• Trigonometric Identities (with proof)
• Use of basic identities and their applications
• Problems on height and distance
7 Mensuration
• Length of an arc
• Area of the sector
• Area of a Circular Segment
• Euler's formula
• Surface area and volume of cuboids Spheres, hemispheres, right circular cylinders cones, frustum of a cone
• Problems based on areas and perimeter/circumference of circle, sector and segment of a circle
• Problems on finding surface areas and volumes of combinations of any two of the following :- cuboids, spheres, hemispheres and right circular cylinders/ cones
• Problems involving converting one type of metallic solid into another.