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 numbers..
Prime numbers and Composite numbers
A prime number is one that has only two factors namely 1 and itself. and a composite number has factors besides 1 and itsel..
2nd Method:
Ans: (i) , (i..
Ans: (i) , (i..Summary
In roster method of representing a set, all the elements are listed in the set. Two sets are said to be Equivalent sets if the elements of one set can be put in one-one correspondence with the elements of the other set. Two sets are said to be Equal s..
Example 1:
01. If P(n) is the statement n 2 -n+41 is prime, prove that P(1), P(2) are true but P(41) is not tru..
Suggested answer:
Let P(n) = n 2 - n + 41 is a prime number P(1) = (1) 2 - 1 + 41 = 41 is a prime number P(1) is true. P(2) = (2) 2 - 2 + 41 = 43 is a prime number P(2) is also true..
Let P(n) = n 2 - n + 41 is a prime number P(1) = (1) 2 - 1 + 41 = 41 is a prime number P(1) is true. P(2) = (2) 2 - 2 + 41 = 43 is a prime number P(2) is also true..Study the following examples
1. The numbers 2, 3, 5 and 8. 2. The solutions of the equation x 2 - 2x - 15 = 0. 3. The letters of the word "Chase". 4. People living in our locality. 5. The students Mary, Hillary, Catherine. 6. The workers who are absent from the factory. 7. Th..
Suggested answer:
Find the product (ac), of the coefficient of x 2 and the last term. List the factor pairs of ac. Choose a factor pair whose sum is the coefficient of the middle term. Rewrite the polynomial by splitting the middle term. Regroup and factorise..
Find the product (ac), of the coefficient of x 2 and the last term. List the factor pairs of ac. Choose a factor pair whose sum is the coefficient of the middle term. Rewrite the polynomial by splitting the middle term. Regroup and factorise..Types of fractions
A Proper fraction has its numerator less than its denominator. An Improper fraction has its numerator greater than its denominator. A Mixed fraction consists of two parts, one is an integer and the other a proper fraction. Vulgar fraction is a fraction in which the denominat..
A Proper fraction has its numerator less than its denominator. An Improper fraction has its numerator greater than its denominator. A Mixed fraction consists of two parts, one is an integer and the other a proper fraction. Vulgar fraction is a fraction in which the denominat..Properties of Complex numbers
If Z, Z 1 and Z 2 are complex numbers, th..
If Z, Z 1 and Z 2 are complex numbers, th.. Result
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