CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Which of the following is an infinite set?

A
{x : x is an odd prime number more than 100}
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
{(x, y) : x and y are integers and a solution of the equation 2x + 3y = 12}
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
{x: x is a point common to two non-parallel lines in xy plane}
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
{(x, y) : x and y are a natural number and solution of equation 3x+4y=25}
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct options are
A {x : x is an odd prime number more than 100}
B {(x, y) : x and y are integers and a solution of the equation 2x + 3y = 12}
{x : x is an odd prime number more than 100} is an infinite set as there are infinite odd prime numbers more than 100.

{(x, y) : x and y are integers and solution of equation 2x +3y = 12} is an infinite set as
2x + 3y = 123y=122xy=423x
For every x which is a positive or negative integer multiple of 3, we get a corresponding value of y. Hence, we have infinite solutions.

{x: x is a point common to two non-parallel lines in xy plane} is a finite set as two non-parallel lines meet at only 1 point.

{(x, y) : x and y are a natural number and solution of the equation 3x + 4y = 25} is finite set as (3, 4) and (7, 1) are only two natural number solution of the given equation.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Finite and Infinite Set
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon