Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Let A = {1, 2, 3, 4, 6}. Let R be the relation on A defined by {(a, b): a, b ∈ A, a is exactly divisible by b}. Write R in roster form. Find its domain and range.

Options:

R = {1, 2, 3, 4, 6}

R = {1, 2, 3, 4, 5}

Range is same as codomain

None of these

Correct Answer:

Range is same as codomain

Explanation:

We have A = {1, 2, 3, 4, 6},

R= {(a, b): a, b ∈ A, a is exactly divisible by b}

∴ R = {(1, 1), (2, 1), (3, 1), (4, 1), (6, 1), (2, 2), (4, 2), (6, 2), (3, 3), (6, 3), (4, 4), (6, 6)}

Domain of R is {1, 2, 3, 4, 6}. 

Range is of R = {1, 2, 3, 4, 6}.

Here Range is same as codomain.