Equivalent Sets
Two finite sets A and B are said to be equivalent sets if cardinality of both sets are equal i.e. n (A) = n (B..
Polynomials Introduction
Introduction - You are familiar with factors and products in the case of numbers. For example, 8 is the product of 4 and 2. 4 and 2 are called the products of 8 . Similarly, the algebraic expression a x b x c = abc can be written as 1.a.b.c or 1.ab.c or 1.bc.a or 1.ac.b or 1.abc. 1, a, b,..
Introduction - You are familiar with factors and products in the case of numbers. For example, 8 is the product of 4 and 2. 4 and 2 are called the products of 8 . Similarly, the algebraic expression a x b x c = abc can be written as 1.a.b.c or 1.ab.c or 1.bc.a or 1.ac.b or 1.abc. 1, a, b,..Algebraic Properties of set operations
The Algebraic Properties of set operations are: Idempotent laws, Identity laws, Commutative laws, Associative laws, Distributive laws, De Morgan's Law..
Ratio and Proportion I Introduction
Introduction - Lets say there are 6 frogs and 2 crabs in a pond. We can compare the number of frogs to the number of crabs in two different ways: How many more frogs than crabs are there? or How many fewer crabs than frogs are there? The answer to both the questions is same i.e. 6-2=4. Th..
Introduction - Lets say there are 6 frogs and 2 crabs in a pond. We can compare the number of frogs to the number of crabs in two different ways: How many more frogs than crabs are there? or How many fewer crabs than frogs are there? The answer to both the questions is same i.e. 6-2=4. Th..Mathematical Induction Introduction
Introduction - The word 'Induction' means method of reasoning from individual cases to general ones or from observed instances to unobserved ones. Many important mathematical formulae are such that a result is formed by some means which does not provide for a direct proof. Mathematical In..
Introduction - The word 'Induction' means method of reasoning from individual cases to general ones or from observed instances to unobserved ones. Many important mathematical formulae are such that a result is formed by some means which does not provide for a direct proof. Mathematical In..Set of question and answer on Number Theory
Question 1 - Question: For the given sequence, suggest possible next three terms and find the general term. 7, 11, 15,---- Answer: First term = 7, Common Difference = 11 - 7 = 15 - 11 = 4 Next three terms are 15 + 4 = 19, 19 + 4 = 23, 23 + 4 = ..
Note:
Set of real numbers is a proper subset of the set of Complex number..
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