| DIRECTION: Each of these questions contains two statements: Statement-1 (Assertion) and Statement-2 (Reason). Choose the correct answer (ONLY ONE option is correct) from the following- |
| Statements-1: Period of \[f(x)=\sin 4\pi \{x\}\]\[+\tan \pi [x]\], where,\[[x]\And \{x\}\] denote the \[G.I.F.\] & fractional part respectively is \[1\]. |
| Statements-2: A function is said to be periodic if there exist a positive number \[T\] independent of \[x\] such that \[f(T+x)=f(x)\]. The smallest such positive value of \[T\] is called the period or fundamental period. |
A) Statement-1 is false, Statement-2 is true.
B) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
C) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
D) Statement-1 is true, Statement-2 is false.
Correct Answer: B
Solution :
Clearly,\[\tan \pi [x]=0\]for all\[x\in R\]and period of\[\sin 4\pi \{x\}=1\].
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