If f(x)=|x-1|.([x]=[-x]), then (where [....

If `f(x)=|x-1|.([x]=[-x]),` then (where [.] represents greatest integer function)

A

11

B

12

C

13

D

Infinitely many

Verified by Experts

The correct Answer is:

B

TEST PAPERS
ALLEN|Exercise PHYSICS|17 Videos
TEST PAPER 4
ALLEN|Exercise PHYSICS|44 Videos
UNIT & DIMENSIONS, BASIC MATHS AND VECTOR
ALLEN|Exercise Exercise (J-A)|7 Videos

Similar Questions

Explore conceptually related problems

If f(x) = (e^([x] + |x|) -3)/([x] + |x|+ 1) , then: (where [.] represents greatest integer function)

If f(x)=x((e^(|x|+[x])-2)/(|x|+[x])) then (where [.] represent the greatest integer function)

Find the domain and range of f(x)="sin"^(-1)(x-[x]), where [.] represents the greatest integer function.

Consider the function f(x)=cos^(-1)([2^(x)])+sin^(-1)([2^(x)]-1) , then (where [.] represents the greatest integer part function)

Find the domain of the function f(x)=(1)/([x]^(2)-7[x]-8) , where [.] represents the greatest integer function.

Let f(x) = [sin ^(4)x] then ( where [.] represents the greatest integer function ).

If f(x)={{:((e^([2x]+2x+1)-1)/([2x]+2x+1),:,x ne 0),(1,":", x =0):} , then (where [.] represents the greatest integer function)

Draw the graph of f(x)=(2^(x))/(2^([x])) where [.] represents greatest integer function and find the domain and range.

Number of points of discontinuity of f(x) =[x^(3)+3x^(2)+7x+2], where [.] represents the greatest integer function in [0,1] is ___________.

The domain of the function f(x)=(1)/(sqrt([x]^(2)-[x]-20)) is (where, [.] represents the greatest integer function)