Question

1. Let A = {2,3,4} and B = {3, 4, 5, 6, 7). Assume a relation R from A to B such that (x,y)R when
a divides 6. Determine R, its domain and range.
2. If A be the set of all triangles in a plane and R=(a h​

Answer 1

Answer:

A relation R from the set A={2,3,4,5} to B={3,6,7,10} is defined as, (x,y)∈R⇒x is relatively prime to y.

Now, it is seen that 2 is relatively prime to 3, [HCF of 2 and 3 is 1]

So, (2,3)∈R

Similarly, 2 is relatively prime to 7 so that (2,7)∈R etc.

So, we get R={(2,3),(2,7),(3,7),(3,10),(4,3),(4,7),(5,3),(5,6),(5,7)}

Thus, domain ={2,3,4,5} and range ={3,6,7,10}.