Teaching UGC NET Mock Test Series 2025 (Paper 1 & 2) Engineering Mathematics Set Theory & Algebra Relations
Take the function f: R→ {0,1} such that \(\mathrm{F}(\mathrm{x})=\left\{\begin{array}{c} 1, \text {if x rational number } \\ 0, \text { irrational number } \end{array}\right.\)Which of the following is true?
1
The function is one-one and ontp
2
The function is many-one , into
3
The function is one-one and into
4
The function is many-one and onto