Harmonic Progression (H.P.)
A sequence of numbers is said to form a harmonic progression if their reciprocals form an arithmetic progressio..
Harmonic Mean (H.M.)
If three quantities are in harmonic progression, then the middle quantity is called the harmonic mean between the other two. Example: 1/3, 1/7, 1/11 are in H.P., then 1/7 is the middle term. Hence 1/7 is the harmonic mean between 1/3 and 1/1..
Harmonic Mean (H.M.)
If three quantities are in harmonic progression, then the middle quantity is called the harmonic mean between the other tw..
Question 2
Question: Define an odd number. Answer: A number when divided by 2 gives remainder 1 is called an odd number..
Step 2:
Assume the validity of the result for n equal to some arbitrary but fixed natural number, say, ..
Question 2
Question: List the elements of the following sets and specify whether they are finite or infinite: Answer: (i) Since there is no natural number lying between 2 and 3, the set is a null set i.e. f . This is a finite set. (i) Since there are infinite numb..
Question: List the elements of the following sets and specify whether they are finite or infinite: Answer: (i) Since there is no natural number lying between 2 and 3, the set is a null set i.e. f . This is a finite set. (i) Since there are infinite numb..Example 2:
Factorise 5x 2 - 9x - 1..
Example 2:
Using matrix method, solve the following system of linear equations x + y + z = 6 (1) x + 2y + 3z = 14 (2) x + 4y + 7z = 30 ..
Example 2:
If x:y=3:4 find value of (4x+3y) : (2x+5y..
Step 2:
Divide x 2 + 3x -4 by (x-1), ..
Divide x 2 + 3x -4 by (x-1), .. Result
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