Page 7 - Mathematics Class - XI

TOPIC - 7: Binomial Theorem

7.1 To construct a Pascal’s Triangle and to write binomial expansion for a given positive integral exponent. 51

TOPIC - 8: Sequences and Series
8.1 To obtain formula for the sum of squares of first n-natural numbers. 55

8.2 To demonstrate that the Arithmetic mean of two different positive numbers is always greater than 58
the Geometric mean.
8.3 To establish the formula for the sum of the cubes of the first n natural numbers. 61

UNIT - III : COORDINATE GEOMETRY

TOPIC - 9: Straight Lines

9.1 To verify that the equation of a line passing through the point of intersection of two lines 66
a x + b y + c = 0 and a x + b y + c = 0 is of the form (a x + b y + c ) + l(a x + b y + c ) = 0.
1 1 1 2 2 2 1 1 1 2 2 2
TOPIC - 10: Conic Sections

10.1 To construct different types of conic sections. 70
10.2 To construct a parabola. 73
10.3 To construct an ellipse using a rectangle. 76
10.4 To construct an ellipse when two fixed points are given. 79

TOPIC - 11: Introduction to 3-Dimensional Geometry

11.1 To explain the concept of octants by three mutually perpendicular planes in space. 83

UNIT - IV : CALCULUS

TOPIC - 12: Limits and Derivatives

x c 2
2
12.1 To find analytically lim( )fx . 87

x c xc
12.2 Verification of the geometrical significance of derivative. 90
UNIT - V : STATISTICS AND PROBABILITY

TOPIC - 13: Probability

13.1 To write the sample space, when a die is rolled once, twice, ................ 95
13.2 To write the sample space, when a coin is tossed once, two times, three time, four times. 98

PROJECTS

1. Contributions of famous Indian Mathematicians in the field of mathematics like Aryabhatta, 103
Brahmagupta, Ramanujan etc.

2. To represent intersection of two sets using Art. 104
3. Draw a fibonacci spiral, using fibonacci series. 106