RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 9. Continuity

Subject: Maths - Class 12th

Q. No. 17 of MCQ

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17

Mark the correct alternative in the following:

The function


(i) A function f(x) is said to be continuous at a point x=a of its domain, iff



Given:-



Using R.H.L



Using L.H.L




Therefore f(x) is discontinuous only at and x = 0

Chapter Exercises

Exercise 9.1
Exercise 9.2
Very short answer
MCQ

More Exercise Questions

1

Mark the correct alternative in the following:

The function


2

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If f(x) = |x – a| ϕ(x), where ϕ(x) is continuous function, then
3

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If f(x) = |log10 x|, then at x = 1
4

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If is continuous at x = 0, then k equals
5

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6

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If is continuous at x = π/2, then k =
7

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If f(x) = (x + 1)cotx be continuous at x = 0, then f(0) is equal to
8

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If and f(x) is continuous at x = 0, then the value of k is
9

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The function


10

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Let Then f(x) is continuous at x = 4 when
11

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If the function is continuous at x = 0, then the value of k is
12

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Let f(x) = |x| + |x – 1|, then
13

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Let Then, f(x) is continuous on the set
14

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If is continuous at x = 0, then
15

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If is continuous at then
16

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The value of f(0), so that the function becomes continuous for all x, given by
17

Mark the correct alternative in the following:

The function
18

Mark the correct alternative in the following:

The value of f(0), so that the function is continuous, is given by
19

Mark the correct alternative in the following:

The value f(0) so that the function is continuous everywhere, is given by
20

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is continuous in the interval [–1, 1], then p is equal to
21

Mark the correct alternative in the following:

The function is continuous for 0 ≤ x < ∞, then the most suitable values of a and b are
22

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If when then f(x) will be continuous function at x = π/2, where λ =
23

Mark the correct alternative in the following:

The value of a for which the function may be continuous at x = 0 is
24

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The function f(x) = tan x is discontinuous on the set
25

Mark the correct alternative in the following:

The function is continuous at x = 0, then k =
26

Mark the correct alternative in the following:

If the function is continuous at each point of its domain, then the value of f(0) is
27

Mark the correct alternative in the following:

The value of b for which the function is continuous at every point of its domain, is
28

Mark the correct alternative in the following:

If then the set of points discontinuity of the function f(f(f(x))) is
29

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Let The value which should be assigned to f(x) at so that it is continuous everywhere is
30

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The function is not defined for x = 2. In order to make f(x) continuous at x = 2, f(2) should be defined as
31

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If is continuous at x = 0, then a equals
32

Mark the correct alternative in the following:

If then the value of (a, b) for which f(x) cannot be continuous at x = 1, is
33

Mark the correct alternative in the following:

If the function f(x) defined by is continuous at x = 0, then k =
34

Mark the correct alternative in the following:

If then the value of a so that f(x) may be continuous at x = 0, is
35

Mark the correct alternative in the following:

If f(x) = then the value of the function at x = 0, so that the function is continuous at x = 0, is
36

Mark the correct alternative in the following:

The value of k which makes continuous at x = 0, is
37

Mark the correct alternative in the following:

The values of the constants a, b, and c for which the function



May be continuous at x = 0, are
38

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The points of discontinuity of the function is (are)
39

Mark the correct alternative in the following:

If ..Then, f(x) is continuous at if
40

Mark the correct alternative in the following:

The points of discontinuity of the


function is (are)
41

Mark the correct alternative in the following:

The value of a for which the function is continuous at every point of its domain, is
42

Mark the correct alternative in the following:

If is


Continuous at then k is equal to

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