Home
Class 12
MATHS
The set points of discontinuity of the f...

The set points of discontinuity of the function `f(x)=(|sin x|)/(sin x)` is

A

{0}

B

`{n pi : n in I}`

C

`phi`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B

The function `(|sin x|)/(sin x) ` is not defined for `x = n pi , n in I.`
Hence, the set of points of discontinuity is `(n pi : n in I).`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 2 (MISCELLANEOUS PROBLEMS)|60 Videos
  • CONTINUITY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|16 Videos
  • CIRCLE AND CONICS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise All Questions|74 Videos
  • DEFINITE INTEGRALS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|22 Videos

Similar Questions

Explore conceptually related problems

The set of points of discontinuity of the function f(x)=|sin x| is

The set of points of discontinuity of the function f(x)=log|x| is

The set of points of discontinuity of the function f(x)=(1)/(log|x|),is

Find the points of discontinuity of the function: f(x)=(1)/(2sin x-1)

The function f(x)=e^(-|sin x|) is

The points of discontinuity of the function f(x)=lim_(x rarr pi)((sin x)^(2n),n in I are

Q 31 ) The set ofpoints of discontinuities of the function f(x)=sqrt(x)-[sqrt(x)]

The function, f(x) =sin^(-1) (sin x) , is

The function f(x) = sin|x| is

The point of discontinuity of the function f(x)={{:(2x+3, if xle2),(2x-3, if x gt 2):} is