Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

The graph of y = f(x) is symmetrical about the line x = 1, then

Options:

$f (−x) = f (x)$

$f (1 + x) = f (1 − x)$

$f (x + 1) = f (x − 1)$

none of these

Correct Answer:

$f (1 + x) = f (1 − x)$

Explanation:

Graph of y = f(x) is symmetric about the line x = 0 if f(−x) = f(x) i.e. if f(0 − x) = f(0 + x)

∴ Graph of y = f(x) is symmetric about x = 1 if f(1 − x) = f(1 + x).