Search any question & find its solution
Question:
Answered & Verified by Expert
Consider the following relations from $A$ to $B$ where $A=\{u, v, w, x, y, z\}$ and $B=\{p, q, r, s\}$
1.$\{(u, p),(v, p),(w, p),(x, q),(y, q),(z, q)\}$
2.\{(u, p),(v, q),(w, r),(z, s)\}
3.\{(u, s),(v, r),(w, q),(u, p),(v, q),(z, q)
4.$\{(u, q),(v, p),(w, s),(x, r),(y, q),(z, s)$
Which of the above relations are not functions ?
Options:
1.$\{(u, p),(v, p),(w, p),(x, q),(y, q),(z, q)\}$
2.\{(u, p),(v, q),(w, r),(z, s)\}
3.\{(u, s),(v, r),(w, q),(u, p),(v, q),(z, q)
4.$\{(u, q),(v, p),(w, s),(x, r),(y, q),(z, s)$
Which of the above relations are not functions ?
Solution:
1891 Upvotes
Verified Answer
The correct answer is:
2 and 3
Given that, $A=\{u, v, x, y, z\} ; B=\{p, q, r, s\}$ As we know, a mapping $\mathrm{f}: \mathrm{x} \rightarrow \mathrm{y}$ is said to be a function if each element in the set $\mathrm{x}$ has its image in set $\mathrm{y} .$ It $\mathrm{k}$
also possible that these are few elements in set y which are not the image of any element in set $\mathrm{x}$. Every element
in set $x$ should have one and only one image.
(i)
(ii)
(iii)
(iv)
(ii) and (iii) are not function
also possible that these are few elements in set y which are not the image of any element in set $\mathrm{x}$. Every element
in set $x$ should have one and only one image.
(i)
(ii)
(iii)
(iv)
(ii) and (iii) are not function
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.