Class 11th Mathematics
SETS
SETS : A set is a well-defined collection of objects. Sets can be represented in two ways—Roster or tabular form and Set builder form.
RELATIONS AND FUNCTIONS
RELATIONS AND FUNCTIONS : et A and B be any two non-empty sets. The Cartesian product A × B is the set of all ordered pairs of elements of sets from A and B
TRIGONOMETRIC FUNCTION
TRIGONOMETRIC FUNCTION : An angle is a measure of rotation of a given ray about its initial point. The original position of the ray before rotation
PRINCIPLE OF MATHEMATICAL INDUCTION
PRINCIPLE OF MATHEMATICAL INDUCTION : In deduction, given a statement to be proven which is often called a conjecture or a theorem, valid deductive steps
COMPLEX NUMBERS & QUADRATIC EQUATIONS
COMPLEX NUMBERS & QUADRATIC EQUATIONS : In complex number z = a + ib, a is the real part, denoted by Re z and b is the imaginary part denoted by Im z
LINEAR INEQUALITIES
LINEAR INEQUALITIES : Two real numbers or two algebraic expressions related by the symbol ‘’, ‘≤’ or ‘≥’ form an inequality.
PERMUTATION AND COMBINATION
PERMUTATION AND COMBINATION : Multiplication principle: If an event can occur in M different ways following which another event can occur in N different ways
BINOMIAL THEOREM
"BINOMIAL THEOREM : A binomial expression is an algebraic expression having two terms. Examples: (a+b), (a − b) etc."
SEQUENCE AND SERIES
SEQUENCE AND SERIES : A Sequence is an ordered list of numbers and has the same meaning as conversational english. A sequence is denoted by
- Mock Test
- Sectional Test
- Advance Test
- Previous Year Test
STRAIGHT LINES
STRAIGHT LINES : Let A(x1, y1), B(x2,y2) and C(x3, y3) be the coordinates of the vertices of the triangle ABC. Then, the area of the triangle ABC is given
CONIC SECTIONS
CONIC SECTIONS : Let λ be a fixed vertical line and m be another line intersecting it at a fixed point V and inclined to it at an angle .
THREE DIMENSIONAL GEOMETRY
THREE DIMENSIONAL GEOMETRY : A three-dimensional system is an extension of the two-dimensional system. A third axis z is added to the XY plane.
LIMITS AND DERIVATIVES
LIMITS AND DERIVATIVES : The expected value of the function as dictated by the points to the left of a point defines the left-hand limit of the function.
MATHEMATICAL REASONING
MATHEMATICAL REASONING : There are two types of reasoning—deductive and inductive. Deductive reasoning was developed by Aristotle, Thales and Pythagoras
STATISTICS
STATISTICS : Statistics deals with the collection presentation, analysis and interpretation of data. Data can be either ungrouped or grouped.
PROBABILITY
PROBABILITY : The theory of probability is the branch of mathematics that deals with uncertain or unpredictable events.