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Geometry 10th Standard [इयत्ता १० वी] SSC (Marathi Semi-English) Maharashtra State Board Topics and Syllabus

Academic year:

Units and Topics

Syllabus

100 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
300 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
  • Cyclic quadrilateral
  • Tangent - Secant theorem
400 Co-ordinate Geometry
  • Slope of a line
  • Intercepts made by a line
  • Standard forms of equation of a line
  • General equation of a line
500 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
600 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
700 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.
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