Table of Contents
Chapter 9 Continuity Ex 9.1
Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10(i)
Solution 10(i)
Question 10(ii)
Solution 10(ii)
Question 10(iii)
Solution 10(iii)
Question 10(iv)
Solution 10(iv)
Question 10(v)
Solution 10(v)
Question 10(vi)
Solution 10(vi)
Question 10(vii)
Solution 10(vii)
Question 10(viii)
Discuss the continuity of the following functions at the indicated points:
Solution 10(viii)
Question 11
Solution 11
Question 12
Solution 12
Question 13
Solution 13
Question 14
Also sketch the graph of this function.Solution 14
Question 15
Solution 15
Question 16
Solution 16
Question 17
Solution 17
Question 18
Solution 18
Question 19
Solution 19
Question 20
Solution 20
Question 21
Solution 21
Question 22
Solution 22
Question 23
Solution 23
Question 24
Solution 24
Question 25
Solution 25
Question 26
Determine the values of a, b, c for which the function
Solution 26
Question 27
Solution 27
Question 28
Solution 28
Question 29
Solution 29
Question 30
Solution 30
Question 31
Solution 31
Question 32
Solution 32
Question 33
Solution 33
Question 34
Solution 34
Question 35
Solution 35
Question 36(i)
Solution 36(i)
Question 36(ii)
Solution 36(ii)
Question 36(iii)
Solution 36(iii)
Question 36(iv)
Solution 36(iv)
Question 36(v)
Solution 36(v)
Question 36(vi)
Solution 36(vi)
Question 36(vii)
Solution 36(vii)
Question 36(viii)
Solution 36(viii)
Question 36(ix)
In each of the following, find the value of the constant k so that the given function is continuous at the indicated point:
Solution 36(ix)
Question 37
Solution 37
Question 38
Solution 38
Question 39(i)
Solution 39(i)
Question 39(ii)
Solution 39(ii)
Question 40
Solution 40
Question 41
Solution 41
Question 43
Solution 43
Question 44
Solution 44
Question 45
Solution 45
Question 46
is continuous at x = 3.Solution 46
Question 42
For what of is the function continuous at x = 0? What about continuity at x = ±1?Solution 42
Given:
At x = 0, we have
∴ LHL ≠ RHL
So, f(x) is discontinuous at x = 0.
Thus, there is no value of for which f(x) is continuous at x = 0.
At x = 1, we have
∴ LHL = RHL
So, f(x) is continuous at x = 1.
At x = -1, we have
∴ LHL = RHL
So, f(x) is continuous at x = -1.
Chapter 9 Continuity Ex 9.2
Question 1
Solution 1
Question 2
Solution 2
Question 3(i)
Solution 3(i)
Question 3(ii)
Solution 3(ii)
Question 3(iii)
Solution 3(iii)
Question 3(iv)
Solution 3(iv)
Question 3(v)
Solution 3(v)
Question 3(vi)
Solution 3(vi)
Question 3(vii)
Solution 3(vii)
Question 3(viii)
Solution 3(viii)
Question 3(ix)
Solution 3(ix)
Question 3(x)
Solution 3(x)
Question 3(xi)
Solution 3(xi)
Question 3(xii)
Solution 3(xii)
Question 3(xiii)
Solution 3(xiii)
Question 4(i)
Solution 4(i)
Question 4(ii)
Solution 4(ii)
Question 4(iii)
Solution 4(iii)
Question 4(iv)
Solution 4(iv)
Question 4(v)
Solution 4(v)
Question 4(vi)
Solution 4(vi)
Question 4(vii)
Solution 4(vii)
Question 4(viii)
Solution 4(viii)
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10
Solution 10
Question 11
Solution 11
Question 12
Solution 12
Question 13
Solution 13
Question 14
Solution 14
Question 15
Solution 15
Question 16
Solution 16
Question 17
Solution 17
Question 18
Given the function
Find the points of discontinuity of the functions f(f(x)).Solution 18
Question 19
Find all point of discontinuity of the function
Solution 19
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