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# Syllabus for Std-X Maths SSC : mahahsscboard.maharashtra.gov.in

** Organisation **: Maharashtra State Board of Secondary & Higher Secondary Education

**: Std-X Maths SSC Syllabus**

__Announcement__** Download Syllabus **: http://www.syllabus.gen.in/uploads/235-s71.pdf

**: http://mahahsscboard.org/**

__Home Page__** Std. X **: Mathematics

Algebra

**:**

__1. Arithmetic Progression__** Introduction to Sequence

** Arithmetic Progression (A.P.) and Geometric Progression (G.P.)

** General term of an A.P. and G.P.

** Sum of the first ‘n’ terms of an A.P. and G.P.

** Arithmetic Mean and Geometric Mean.

2. Quadratic Equations

** Introduction to quadratic equations

** Solutions of quadratic equations

** Nature of roots based on discriminant

** Relation between roots of the equation and coefficient of the terms in the equation Equations reducible to quadratic form

3. Linear equations in two variables

** System of linear equations in two variables

** Algebraic methods of solving linear equations in two variables

** Graphical representation of different possibilities of solutions/Inconsistency

** Graphical method of solving a system of linear equations

** Determinantof order two

** Cramer’s rule

** Consistency of pair of linear equations

** 4. Probability **:

** Introduction to probability and related terms

** Classical definition of probability

** Types of events

** Equally likely outcomes

** Probability of an event

** Properties of Probability

** Addition theorem (without proof)

** 5. Statistics **:

** Brief revision of Tabulation of data, inclusive and exclusive type of tables

** Mean, median and mode of grouped data

** Histograms, frequency polygon, frequency curve, pie diagram

** Ogives (Cumulative frequency graphs)

** Applications of ogives in determination of median

** Relation between measures of central tendency

** Introduction to normal distribution

** Properties of normal distribution

** Geometry **:

**:**

__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 45 o-45 o- 90 o theorem

** Application of Pythagoras theorem in acute and obtuse angle.

** Appolonius theorem

** 2. 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

** 3. Co-ordinate Geometry **:

** Slope of a line

** Intercepts made by a line

** Standard forms of equation of a line

** General equation of a line.

** 4. 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

** 5. 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

** 6. Menstruation **:

** 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.