Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

The relation R is defined on the set of natural numbers as $\{(a,b):a=2b\}$. Then $R^{-1}$ is given by:

Options:

{(2, 1), (4, 2), (6, 3). . . . }

{(1, 2), (2, 4), (3, 6). . . . }

$R^{-1}$ is not defined

None of these

Correct Answer:

{(1, 2), (2, 4), (3, 6). . . . }

Explanation:

$R=\{(2,1)(4,2)(6,3),......\}$. So $R^{-1}=\{(1, 2), (2, 4), (3, 6). . . . \}$