Home
Class 12
MATHS
The area of the region of the plane boun...

The area of the region of the plane bounded by `(|x|,|y|) le 1 and xy le 1/2` is (a) less then `a ln 3` (b) `15/4` (c) `2+2ln2` (d) `3+ln2`

A

less than 4ln3

B

`15/4`

C

`2+2 ln 2`

D

`3+ ln 2`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • AREA UNDER THE CURVE

    MOTION|Exercise EXERCISE -3|34 Videos
  • AREA UNDER THE CURVE

    MOTION|Exercise EXERCISE - 4 LEVEL - I|11 Videos
  • AREA UNDER THE CURVE

    MOTION|Exercise EXERCISE - 2 (LEVEL-I)|25 Videos
  • BASIC MATHEMATIC & LOGARITHM

    MOTION|Exercise Exercise - 4|4 Videos

Similar Questions

Explore conceptually related problems

The area of the region of the plane bounded by (|x|,|y|)<=1 and xy<=(1)/(2) is (a) less then a ln3(b)(15)/(4)(c)2+2ln2(d)3+ln2

The area of the region bounded by x=(1)/(2),x=2,y=ln x and y=2^(x) is

Knowledge Check

  • The area of the region on place bounded by max (|x|,|y|) le 1/2 is

    A
    `1//2 + ln2`
    B
    `3 + ln 2`
    C
    `31//4`
    D
    `1+2 ln 2`
  • The area of the region described by A = {(x,y) : x^(2)+y^(2) le 1 and y^(2) le 1-x} is :

    A
    `pi/2-2/3`
    B
    `pi/2+2/3`
    C
    `pi/2+4/3`
    D
    `pi/2+4/3`
  • The aera of the region defined by ||x|-|y||le1 and x^(2)+y^(2)le1 in the xy plane is

    A
    `pi`
    B
    `2 pi`
    C
    `3 pi`
    D
    1
  • Similar Questions

    Explore conceptually related problems

    The area of the region bounded by 1-y^(2)=|x| and |x|+|y|=1 is (a)1/3(b)2/3(c)4/3(d)1

    The area of bounded by e^(ln(x+1)) ge |y|, |x| le 1 is….

    Area bounded by y=ln x and y=(ln x)^(2) IS

    The area of the region {(x,y): xy le 8,1 le y le x^(2)} is :

    Area bounded by y=log(x-2) , x - axis and x = 4 is