Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Find the period of $f(x) = \sin πx + \{x/3\}$, where {.} represents the fractional part.

Options:

6

5

7

4

Correct Answer:

6

Explanation:

$f(x) = \sin πx + \{x/3\}$, where {.} represents the fractional part

Period of sin $πx$ is $\frac{2π}{π}=2$

Period of $\{x/3\}$ is $\frac{1}{1/3}=3$

Therefore, period of f(x) is L.C.M. of (2, 3) = 6