Basic number theory question and answers
Question 1 - Question: List the elements of the following sets. Answer: i) Omit o and u from the vowels a, e, i, o, u to get {a,e,i} ii) There are exactly two such names {Karnataka, Keral..
Question 1 - Question: List the elements of the following sets. Answer: i) Omit o and u from the vowels a, e, i, o, u to get {a,e,i} ii) There are exactly two such names {Karnataka, Keral..Exponential form of a Complex number
If z = x + iy then e z = e (x + iy) = e x e iy ? e z = e x {cos y + i sin y} is called the Exponential form of the Complex numbe..
Composite number
It has factors other than one and itself, e.g., 21 is a composite numb..
Prime numbers
It can only be divided by one or itself i.e., a prime number has no factors other than 1 and itself. e.g., 2, 3, 5, 7, 11, 13, 17, 19, 23, are examples of prime numbe..
Remainder theorem
If f(x) is a polynomial in x and is divided by x-a; then the remainder is is the value of f(x) at x = a i.e., remainder = f(..
Example:
The compounded ratio of 2:3 and 4:5 is 2 x 4:3 x 5 i.e. 8:..
Factor
A factor of a number divides it exactly without leaving any remainder, e.g., Factors of 18 are 1, 2, 3, 6, 9, ..
Prime factors
They are prime numbers which are factors of a given number. e.g., Prime factors of 42 = 2 x 3 x..
Equal Sets
Two sets A and B are said to be equal if and only if they contain the same elements i.e. if every element of A is in B and every element of B is in A. We denote the equality by A = ..
Equality of Matrices
Two matrices are said to be equal if they have the same order and their corresponding elements are equal. e.g., then a = 1, b = 2, c = 3, d = 4, e = 5 and f = 6...
Two matrices are said to be equal if they have the same order and their corresponding elements are equal. e.g., then a = 1, b = 2, c = 3, d = 4, e = 5 and f = 6...See what our Users say :
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