# Question Paper - Geometry 2009 - 2010 - S.S.C - Board Exam - Maharashtra State Board (MSBSHSE)

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UnitBoard Exam
SubjectGeometry
Year2009 - 2010 (March)

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#### Topics

1 Similarity
1.01 Properties of ratios of areas of two triangles
1.02 Basic proportionality theorem
1.03 Introduction to similarity
1.04 Similar triangles
1.05 Areas of two similar triangles
1.06 Similarity in right angled triangles
1.07 Pythagoras Theorem and Its Converse
1.08 30o-60o-90o theorem and 45 o-45 o- 90 o theorem
1.09 Application of Pythagoras theorem in acute and obtuse angle
1.10 Appolonius theorem
2 Circle
2.01 Tangents and its properties
2.02 Theorem - Tangent at any point to the circle is perpendicular to the radius and its converse
2.03 Number of tangents from a point to a circle
2.04 Theorem- The length of two tangent segments drawn from a point outside the circle are equal
2.05 Touching circles
2.06 Introduction to an arc
2.07 Angle subtended by the arc to the centre and to the point on the circle
2.09 Tangent - Secant theorem
3 Co-ordinate Geometry
3.01 Slope of a line
3.02 Intercepts made by a line
3.03 Standard forms of equation of a line
3.04 General equation of a line.
4 Geometric Constructions
4.01 Division of line segment in a given ratio
4.02 Basic geometric constructions
4.03 Construction of tangent to the circle from the point on the circle and out side the circle
4.04 Construction of tangent without using centre
4.05 Construction of Triangle If the Base, Angle Opposite to It and Either Median Altitude is Given
4.06 Construction of a triangle similar to a given triangle
5 Trigonometry
5.01 Angles in standard position
5.02 Trigonometric ratios in terms of coordinates of point
5.03 Trigonometric Identities (with proof)
5.04 Use of basic identities and their applications
5.05 Problems on height and distance
6 Mensuration
6.01 Length of an arc
6.02 Area of the sector
6.03 Area of a Circular Segment
6.04 Euler's formula
6.05 Surface area and volume of cuboids Spheres, hemispheres, right circular cylinders cones, frustum of a cone
6.06 Problems based on areas and perimeter or circumference of circle, sector and segment of a circle
6.07 Problems on finding surface areas and volumes of combinations of any two of the following : cuboids, spheres, hemispheres and right circular cylinders or cones
6.08 Problems Involving Converting One Type of Metallic Solid into Another

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Question paper for Geometry 2009 - 2010 Board Exam by Maharashtra State Board (MSBSHSE) for the course 10th SSC (English Medium).
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