Home
Class 12
MATHS
The area between the curve 2{y} =[x] +1,...

The area between the curve `2{y} =[x] +1,0 leq y lt 1`, where `{.} and [.]` are the fractional part and greatest integer functions, respectively and the X-axis is

A

`1/2`

B

1

C

0

D

`3/2`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|25 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 12|4 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

The value of int({[x]})dx where {.} and [.] denotes the fractional part of x and greatest integer function equals

Find the area between the curves y=x and y=x^(2) .

Find the area between the curves y=x and y=x^(2) .

The area between the curve y=x^2 , x-axis and the lines x=0 and x=2 is :

The solution set for [x]{x}=1 (where {x} and [x] are respectively, fractional part function and greatest integer function) is (a) R^+-(0,1) (b) r^+-{1} (c) {m+1/m m in I-{0}} (d) {m+1/m m in N-{1}}

The area between the curve y=2x^4-x^2, the axis, and the ordinates of the two minima of the curve is

The value of lim_(xtoa)[sqrt(2-x)] , where a in[0,1/2] and [.] denotes the greatest integer function is:

Find the number of solutions of the equation e^(2x) + e^x-2=[{x^2 + 10x + 11}] is(where, {x} denotes fractional part of x and [x] denotes greatest integer function) (a)0 (b)1 (c)2 (d)3

Prove that [x]+[y] le [x+y] , where x=[x]+{x} and y=[y]+{y} [*] represents greatest integer function and {*} represents fractional part of x.

Sketch the curves y=sqrt(x-[x]) (where [.] denotes the greatest integer function).

Home
Profile