# RD Sharma Solutions For Class 12 Maths Exercise 9.1 Chapter 9 Continuity

RD Sharma Solutions for Class 12 Maths Exercise 9.1 Chapter 9Â Continuity is provided here. This exercise has problems which are solved on continuity of function by the subject experts at BYJUâ€™S. Our team of faculty mainly work with the aim of making Mathematics easier for students based on their grasping power. The students can gain a grip on the concepts covered in Maths Class 12 only by regular practise, and while solving can make use of the PDF as a reference. Students can easily download the RD Sharma Solutions for Class 12 Maths Exercise 9.1 of Chapter 9 from the below provided links.

Let us have a look at some topics that are discussed in this exercise.

• The intuitive notion of continuity
• Continuity at a point
• Algebra of a continuous function
• Testing the continuity of a function at a point when the function has the same definition on both sides of the given point
• Testing continuity of a function at a point when the function has different definitions on both sides of the given point
• Finding the values of a constant given in the definition of a function when it is continuous at an indicated point
• On the continuity of a composite function

## RD Sharma Solutions For Class 12 Maths Chapter 9 – Continuity Exercise 9.1:-

### Access Another Exercise of RD Sharma Solutions For Class 12 Maths Chapter 9 – Continuity

Exercise 9.2 Solutions

### Access RD Sharma Solutions For Class 12 Maths Chapter 9 – Continuity Exercise 9.1

Exercise 9.1 Page No: 9.16

1. Test the continuity of the following function at the origin:

Solution:

Given

Consider LHL at x = 0

2. A function f(x) is defined as

Show that f(x) is continuous at x = 3.

Solution:

Given

3. A function f(x) is defined as

Show that f(x) is continuous at x = 3.

Solution:

Find whether f(x) is continuous at x = 1.

Solution:

Find whether f(x) is continuous at x = 0.

Solution:

Find whether f(x) is continuous at x = 0.

Solution:

Given

Solution:

Given

Solution:

Solution:

10. Discuss the continuity of the following functions at the indicated point(s):

Solution:

Solution:

Solution:

Solution:

Solution:

Solution:

Solution:

Solution:

Solution:

Given

Solution:

13. Find the value of a for which the function f defined by

Solution:

14. Examine the continuity of the function

Also sketch the graph of this function.

Solution:

Hence f (x) is discontinuous at x = 0

15. Discuss the continuity of the function

Solution:

16. Discuss the continuity of the function

Solution:

17. Discuss the continuity of

Solution:

18. For what value of k is the function

Solution:

19. Determine the value of the constant k so that the function

Solution:

20. For what value of k is the function

Solution:

21. Determine the value of the constant k so that the function

Solution:

22. Determine the value of the constant k so that the function

Solution:

23. Find the values of a so that the function

Solution: