Home
Class 12
MATHS
Find all the points of discontinuity, wh...

Find all the points of discontinuity, where f is defined by
`f(x) = {{:(x/(|x|)"," , " if " x ge 1),(-1",", "if " x ge 0):}`

A

`{:(A,B,C,D),(r,p,s,q):}`

B

`{:(A,B,C,D),(p,r,s,q):}`

C

`{:(A,B,C,D),(r,p,q,s):}`

D

`{:(A,B,C,D),(p,r,q,s):}`

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|24 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise FUNCTION EXERCISE 7: Subjective Type Questions|1 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos
  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

Find all the points of discontinuity, where f is defined by f(x) = {{:(x + 1"," , " if " x ge 1),(x^2 + 1 ",", "if " x lt 1 ):}

Find all the points of discontinuity, where f is defined by f(x) = {{:(x^3 -3 "," , " if " x le 2),(x^2 + 1 ",", "if " x gt 2 ):}

Find all points of discontinuity of f, where f is defined by f(x) = {{:(x/(|x|), "if" x lt 0),(-1, "if" x ge 0):}

Find all the points of discontinuity of f, where f is defined by f(x) = {{:(2x + 3"," ,"if "x le 2),(2x - 3",", "if "x gt 2):}

Find all the points of discontinuity of f defined by f(x) = |x|-|x+1|

Find all the points of discontinuity of s defined by f(x) = |x| - |x + 1|

Find all points of discontinuity of f, where f is defined by f(x) = {{:((|x|)/(x), "if" x != 0),(0,"if" x = 0):}

Find all points of discontinuity of f, where f is defined by : f(x)={(|x|+3,,,,if x =3):}

Find the points of discontinuity of f where f is defined by f(x) = {{:(2x + 3, "if" x le 2),(2x - 3, "if" x gt 2):}

Find all point of discontinuity of f were f is defined by f(x) = {{:(x + 1, "if" x ge1),(x^2 + 1, "if" x lt 1):}