Question

Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R):
Assertion (A): cos(x2), is a periodic function.
Reasons (R): If f(x) is periodic function with periods T and if a,b ∈ R such that a>0 then (ax+b) is periodic with period T/a.
In the light of the above Statements, choose the correct answer from the options given below:

• A. Both (A) and (R) are true and (R) is the correct explanation of (A)
• B. Both (A) and (R) are true but (R) is NOT the correct explanation of (A)
• C. (A) is true but (R) is false
• D. (A) is false but (R) is true

Answer 1

Answer: (D)

(A) is false but (R) is true

Answer 2

The correct answer is(D): (A) is false but (R) is true