Functions Question 353
Question: The relation R defined on the set $ A={1,2,3,4,5} $ by $ R={(x,y):| x^{2}-y^{2} |<16} $ is given by
Options:
A) $ {(1,1),(2,1),(3,1),(4,1),(2,3)} $
B) $ {(2,2),(3,2),(4,2),(2,4)} $
C) $ {(3,3),(3,4),(5,4),(4,3),(3,1)} $
D) None of these
Show Answer
Answer:
Correct Answer: D
Solution:
[d] Here $ R={(x,y):| x^{2}-y^{2} |<16} $ and given $ A={1,2,3,4,5} $
$ \therefore R={(1,2)(1,3)(1,4);(2,1)(2,2)(2,3)(2,4); $ $ (3,1);(3,2)(3,3)(3,4); $ $ (4,1)(4,2)(4,3); $ $ (4,4),(4,5),(5,4),(5,5)} $
BETA
