Go Back
Mathematics 11 Mathematics 11
CHAPTER II: RELATIONS & FUNCTIONS
- Ordered pairs.Cartesian product of sets
- Number of elements in the Cartesian product of two finite sets
- Cartesian product of the set of reals with itself (upto R x R x R)
- Definition of relation
- Pictorial diagrams
- Domain
- Co-domain and range of a relation
- Pictorial representation of a function, domain, co-domain and range of a function
- Real valued functions, domain and range of these functions
- Constant
- Identity
- Polynomial
- Rational
- Modulus
- Signum
- Exponential
- Logarithmic and greatest integer functions with their graphs
- Sum, difference, product and quotients of functions
CHAPTER III: TRIGONOMETRIC FUNCTIONS
- Positive and negative angles
- Measuring angles in radians and in degrees and conversion from one measure to another
- Definition of trigonometric functions with the help of unit circle
- Truth of the identity sin 2x + cos 2x = 1 , for all x
- Signs of trigonometric functions
- Domain and range of trigonometric functions and their graphs
- Expressing sin (x±y) and cos (x±y) in terms of sin x , sin y ,cos x & cos y and their simple applications
- Deducing identities like the following: tan(x ± y) = tan x ± tan y / 1 ± tan x tan y , cot(x ± y) = cot x cot y ± 1 / cot y ± cot x sin α ± sin β = 2sin(½(α ± β))cos(½(α ∓ β)) cos α + cos β = 2cos(½(α + β))cos(½(α − β)) cos α − cos β = −2sin(½(α + β))sin(½(α − β)) Identities related to sin 2x , cos 2x ,tan 2x ,sin 3x ,cos 3x and tan 3x
- General solution of trigonometric equations of the type sin y = sin a , cos y = cos a and tan y = tan a
CHAPTER IV: COMPLEX NUMBERS AND QUADRATIC EQUATIONS
CHAPTER V: LINEAR INEQUALITIES
- Linear inequalities
- Algebraic solutions of linear inequalities in one variable and their representation on the number line
- Graphical solution of linear inequalities in two variables
- Graphical method of finding a solution of system of linear inequalities in two variables
CHAPTER VI: PERMUTATIONS AND COMBINATIONS
CHAPTER VII: BINOMIAL THEOREM
CHAPTER IX: STRAIGHT LINES
- Intersection of lines
- Co-ordinate of the centroid
CHAPTER X: CONIC SECTIONS
CHAPTER XI: INTRODUCTION TO THREE-DIMENSIONAL GEOMETRY
CHAPTER XII: LIMITS AND DERIVATIVES
- Algebra of functions
- Rational
CHAPTER XIII: STATISTICS
- Analysis of frequency distributions with equal means but different variances
BETA
