Home
Class 12
MATHS
If f(x)=sgn(cos 2x - 2 sin x + 3), where...

If `f(x)=sgn(cos 2x - 2 sin x + 3)`, where sgn () is the signum function, then f(x)

A

is continuous over its domain

B

has a missing point discontinuity

C

has isolated point discontinuity

D

has irremovable discontinuity

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise For Session 4|7 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise For Session 5|4 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise For Session 2|4 Videos
  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Complex Number Exercise 8|3 Videos
  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

Let L denotes the number of subjective functions f : A -> B , where set A contains 4 elementset B contains 3 elements. M denotes number of elements in the range of the function f(x) = sec^-1(sgmx) + cosec^-1(sgn x) where sg n x denotes signum function of x. And N denotes coefficient of t^5 in (1+t^2)^5(1+t^3)^8 . The value of (LM+N) is lambda , then the value of lambda/19 is

If f(x)=e^(sin(x-[x])cospix) , where [x] denotes the greatest integer function, then f(x) is

Let f(x)=sqrt([sin 2x] -[cos 2x]) (where I I denotes the greatest integer function) then the range of f(x) will be

If f(x)=cos[pi/x] cos(pi/2(x-1)) ; where [x] is the greatest integer function of x ,then f(x) is continuous at :

If f: R rarr R is a function defined by: f(x) = [x] cos((2x-1)/2)pi , where [x] denotes the greatest integer function, then 'f' is

If f(x) =[ sin ^(-1)(sin 2x )] (where, [] denotes the greatest integer function ), then

Let f(x) = x + cos x + 2 and g(x) be the inverse function of f(x), then g'(3) equals to ........ .

If f(x) = (cos^2 x + sin^4 x)/(cos^4x + sin^2 x) , then f(2016) is equal to

f(x)= cosec^(-1)[1+sin^(2)x] , where [*] denotes the greatest integer function. then range of f(x) is

The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greatest integer function, is discontinuous