Home
Class 11
MATHS
Let f(x)=2/pi(sin^(-1)[x]+tan^(-1)[x]+co...

Let `f(x)=2/pi(sin^(-1)[x]+tan^(-1)[x]+cot^(-1)[x])` where [x] denotes greatest less than or equal to x. If A and B denote the domain and range of f(x) respectively, then the number of integers in `(A cup B)`, is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II LECTURE SHEET (ADVANCED) MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|8 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II LECTURE SHEET (ADVANCED) STATEMENT TYPE QUESTIONS)|3 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - I (MAIN) STRAIGHT OBJECTIVE TYPE QUESTIONS)|31 Videos

  • HYPERBOLIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET EXERCISE-II (STRAIGHT OBJECTIVE TYPE QUESTIONS)|18 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

The domain and range of f(x) = cot h(x) are respectively

The domain and range of f(x) = cot h(x) are respectively

int_(0)^(pi) [cot x] dx , where [*] denotes the greatest integer function, is equal to

The function f(x)=(sec^(-1)x)/(sqrt(x-[x])) , where [x] denotes the greatest integer less or equal to x, is defined for all x in

Domain , Range of f(x) =|x| + |x+1| are respectively:

If f(x)=(sin ([x]pi))/(x^(2)+x+1) , where [.] denotes the greast integer function, then

Lt_(x to oo) ([x])/(x) (where[.] denotes greatest integer function )=

If the period of the function f(x)= sin (sqrt([n])x) where [n] denotes the greatest integer less than or equal to n is 2pi , then