NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.1

Exercise 5.1 of class 12th Maths has 20 examples (examples 1 to 20) and 34 questions. All the problems of this exercise are important and can come in the board exam, but the most important problems of exercise 5.1 of class 12th Maths are examples 4, 5, 7, 9, 11, 14, 15, 16, 17, 18, 19, 20 and questions 3, 5, 7, 9, 15, 17, 18, 19, 22, 24, 26, 28, 30, 31, 32, 33, 34. 2 to 3 marks question can come from this exercise.

Students can do exercise 5.1 of class 12th Maths in 5 days or not depends on student’s working speed, efficiency, capability, and many other factors. But if they try to do exercise 5.1 of class 12th Maths in 5 days, they can easily do that.

In exercise 5.1 of grade 12th Maths, students will study:
1. Continuity
a. Suppose f is a real function on a subset of the real numbers and let c be a point in the domain of f. Then f is continuous at c if

b. If f is not continuous at c, we say f is discontinuous at c and c is called a point of discontinuity of f.
c. A real function f is said to be continuous if it is continuous at every point in the domain of f.

2. Algebra of continuous functions
Theorem 1: Suppose f and g be two real functions continuous at a real number c. Then:
(1) f + g is continuous at x = c.
(2) f – g is continuous at x = c.
(3) fg is continuous at x = c.
(4) (f/g) is continuous at x = c, (provided g (c) ≠ 0).

Theorem 2: Suppose f and g are real valued functions such that
(f o g) is defined at c. If g is continuous at c and if f is continuous at g (c), then (f o g) is continuous at c.

Exercise 5.1 of class 12th Maths is not easy and not tough. It lies in the mid of easy and tough because some examples and questions of this exercise are easy, and some are complex. However, the difficulty level varies from child to child. So, exercise 5.1 of class 12th Maths is easy, or tough depends on children also. Some children find it difficult, some find it easy, and some find it in the middle of easy and difficult.