chapter 1

Tanya was reading a novel, which had 10 chapters. She spent 1 hour(s) reading the first chapter and took the same amount of time to read all the other chapters of the novel. She completed reading the novel in 19 hours. Solve the equation 1 + 9 h = 1..

There is one-one correspondence between the elements of the set A and the set B..

For each element of B there is one corresponding element of ..

Every one element of A corresponds to one element of B. Every first element has a corresponding second element. One-one relations in examples 1 and 2 are called one-one functions. Every element of set A has one image in set B. {(1h..

For an element of B there is more than one element of A..

For one element of A there is more than one corresponding element of B..

A function f : A g B is called a 1-1 mapping, if every element of f(A) does not have more than one pre-image. ..

Every one element of A corresponds to more than one element of B. In example 3, one image has three pre-images. In example 4, one image has four pre-images. Therefore, many-one relations in examples 3 and 4 are many-one functions. Conside..

We have discussed earlier about right hand limit and left hand limit. Both these limits are called one sided limits. x approaches a from the right side and through values greater than a. For a function f(x), we say as left hand Limit, as x approaches a from the left and through the v..

Linear Equations in One Variable - An equation of one variable and of first order (i.e., its highest power is one) is called a Linear equation. Such an equation has only one solution. A solution is also called the 'root' of the given equation.An equation of h..