Home
Class 12
MATHS
Let the diameter of a subset S of the p...

Let the diameter of a subset S of the plane be defined as the maximum of the distance between arbitrary pairs of points of S.
Q. Let `S={(x,y):(y-x) le 0, x+y ge 0, x^(2)+y^(2) le 2}` then the diameter of S is :

A

2

B

4

C

`sqrt(2)`

D

`2sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise - 5 : Subjective Type Problems|13 Videos
  • CIRCLE

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise - 2 : One or More than One Answer is/are Correct|10 Videos
  • BIONMIAL THEOREM

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-4 : Subjective Type Problems|15 Videos
  • COMPLEX NUMBERS

    VIKAS GUPTA (BLACK BOOK)|Exercise EXERCISE-5 : SUBJECTIVE TYPE PROBLEMS|8 Videos

Similar Questions

Explore conceptually related problems

Let the diameter of a subset S of the plane be defined as the maximum of the distance between arbitrary pairs of points of S. Q. Let S={(x,y):(sqrt(5)-1)x-sqrt(10+2sqrt(5))y ge 0, (sqrt(5)-1)x+sqrt(10+12sqrt(5)) y ge 0, x^(2)+y^(2) le 9} then the diameter of S is :

y - 2x le 1, x + y le 2, x ge 0, y ge 0

Let A={(x, y):y^(2) le 4x, y-2x ge -2, y ge 0} . The area of the region A is

x-y le 2, x + y le 4 , x ge 0, y ge

x + 2y le 40, 2x + y le 40, x ge 0, y ge 0

If Z=2x + y subject to x le 4, y le 6, x+y ge 6, x ge 0, y ge 0 , then the maximum value of Z is

Z = 2x + 3y x ge 0, y ge 0, 1 le x + 2y le10

S={3x^2 le 4y le 6x+2y} find the area

3x + 4y le 60, x ge 2y , x ge1 , y ge 0

x + 2y le 10, x + y ge 1, x-y le 0, x ge 0, yge 0