1.1  

Linear equations in two variables, Simultaneous linear equations

  1.2  

Graph of a linear equation in two variables, Graphical method

  1.3  

Determinant, Determinant method (Cramer’s Rule)

  1.4  

Equations reducible to a pair of linear equations in two variables

  1.5  

Application of simultaneous equations

  1.0  

Problem set 1

  2.1  

Standard form of quadratic equation, Root of a quadratic equation

  2.2  

Solution of a quadratic equation by factorization

  2.3  

Solution of a quadratic equation by completing the square

  2.4  

Formula for solving a quadratic equation

  2.5  

Nature of roots of a quadratic equation, The relation between roots of the quadratic equation and coefficients, To obtain a quadratic equations having given roots

  2.6  

Application of quadratic equation

  2.0  

Problem set 2

  3.1  

Sequence, Terms in a sequence, Arithmetic Progression

  3.2  

nth term of an A.P.

  3.3  

Sum of first n terms of an A.P.

  3.4  

Application of A.P.

  3.0  

Problem set 3

  4.1  

Tax Invoice

  4.2  

GST in trading chain

  4.3  

Shares, Comparison of FV and MV, Rate of Return - RoR

  4.4  

Brokerage and taxes on share trading, GST on Brokerage Services, Mutual Fund – MF, Systematic Investment Plan

  4.0(A)  

Problem set 4A

  4.0(B)  

Problem set 4B

  5.1  

Random Experiment, Outcome, Equally Likely Outcomes

  5.2  

Sample Space

  5.3  

Event

  5.4  

Probability of an event

  5.0  

Problem set 5

  6.1  

Mean from classified frequency distribution, Direct method, Assumed mean method, Step deviation method

  6.2  

Median for grouped frequency distribution

  6.3  

Mode for grouped frequency distribution

  6.4  

Pictorial representation of statistical data, Presentation of data, Histogram

  6.5  

Frequency polygon

  6.6  

Pie diagram, Reading of pie diagram, To draw a Pie diagram

  6.0  

Miscellaneous Problem 6

  1.1  

Ratio of areas of two triangles

  1.2  

Basic proportionality theorem, Converse of basic proportionality theorem, Property of an angle bisector of a triangle, Property of three parallel lines and their transversals

  1.3  

Tests of similarity of triangles

  1.4  

Theorem of areas of similar triangles

  1.0  

Problem set 1

  2.1  

Similarity and right angled triangle, Theorem of geometric mean, Pythagoras theorem, Converse of Pythagoras theorem

  2.2  

Application of Pythagoras theorem, Apollonius theorem

  2.0  

Problem set 2

  3.1  

Circles passing through one, two, three points, Secant and tangent, Tangent theorem, Converse of tangent theorem, Tangent segment theorem

  3.2  

Touching circles, Theorem of touching circles

  3.3  

Congruence of arcs, Property of sum of measure of arc

  3.4  

Inscribed angle, Intercepted arc, Inscribed angle theorem, Corollaries of inscribed angle theorem, Cyclic quadrilateral, Theorem of cyclic quadrilateral, Corollary of cyclic quadrilateral theorem, Converse of cyclic quadrilateral theorem

  3.5  

Theorem of angle between tangent and secant, Converse of theorem of the angle between tangent and secant, Theorem of internal division of chords, Theorem of external division of chords, Tangent secant segment theorem

  3.0  

Problem set 3

  4.1  

Construction of Similar Triangle

  4.2  

Construction of a tangent to a circle at a point on the circle, To construct tangents to a circle from a point outside the circle

  4.0  

Problem set 4

  5.1  

Distance formula

  5.2  

Division of a line segment, Section formula, Co-ordinates of the midpoint of a segment, Centroid formula

  5.3  

Slope of a line

  5.0  

Problem set 5

  6.1  

Cosec, sec and cot ratios, Trigonometric identities

  6.2  

Application of trigonometry

  6.0  

Problem set 6

  7.1  

  7.2  

Frustum of a cone

  7.3  

Sector of a circle, Area of a sector, Length of an arc

  7.4  

Segment of a circle, Area of a segment

  7.0  

Problem set 7