Arithmetic Progression

• Introduction to Sequence
• Arithmetic & Geometric Progression
• Sum of the first ‘n’ terms of an A.P. and G.P

Quadratic Equations

• Solutions of quadratic equations,
• Nature of roots based on discriminant,
• The relation between roots of the equation and the coefficient of the terms in the equation
• Equations reducible to a quadratic form

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,
• The determinant of order two.

Probability

• Introduction to probability and related terms
• Types of events,
• Equally likely outcomes,
• Probability of an event,
• Properties of Probability

Statistics

• A 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 the determination of the median
• The relation between measures of central tendency

Geometry

• Triangle
• Circles
• The slope of a line, Intercepts made by a line, Standard forms of the equation of a line, General equation of a line.
• Construction of tangent to the circle from the point on the circle and outside 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
• 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.
• Angles in standard position
• Trigonometric ratios in terms of coordinates of a point
• Trigonometric Identities (with proof)
• Use of basic identities and their applications
• Problems on height and distance