Notes For All Chapters Maths Class 11 Statements A statement is a sentence which is either true or false, but not both simultaneously. Note: No sentence can be called a statement if It is an exclamation. It is an order or request. It is a question. Simple Statements A statement is called simple if it […]
Notes For All Chapters Maths Class 11 CBSE Inequation A statement involving variables and the sign of inequality viz. >, <, ≥ or ≤ is called an inequation or an inequality. Numerical Inequalities Inequalities which do not contain any variable is called numerical inequalities, e.g. 3 < 7, 2 ≥ -1, etc. Literal Inequalities Inequalities […]
Notes For All Chapters Maths Class 11 Principle of Mathematical Induction Mathematical induction is one of the techniques, which can be used to prove a variety of mathematical statements which are formulated in terms of n, where n is a positive integer. Let P(n) be given statement involving the natural number n such that (i) […]
Notes For All Chapters Maths Class 11 CBSE Set A set is a well-defined collection of objects. Representation of Sets There are two methods of representing a set Roster or Tabular form In the roster form, we list all the members of the set within braces { } and separate by commas. Set-builder form In […]
Notes For All Chapters Maths Class 12 CBSE Linear Programming Problem: A linear programming problem is one in which we have to find optimal value (maximum or minimum) of a linear function of several variables (called objective function) subject to certain conditions that the variables are non-negative and satisfying by a set of linear inequalities with […]
Notes For All Chapters Maths Class 12 CBSE Relation: A relation R from set X to a set Y is defined as a subset of the cartesian product X × Y. We can also write it as R ⊆ {(x, y) ∈ X × Y : xRy}. Note: If n(A) = p and n(B) = q […]