Find the domain and range of the followi...

Find the domain and range of the following relations R = {(x,y), x,y `in N, x^2 + y^2 le 20}`
In each of the above cases verify that `R^-1 = R`.

Similar Questions

Explore conceptually related problems

Determine the domain and range of the following relation : {(x,y): x in N , x<5, y=3} .

Determine the domain and range of the following relation : {(x,y): x in N , y in N and x + y= 10} .

Determine the domain and range of the following relation : {(x,y): y =|x-1|,x in Z and |x| le3 } .

Determine the domain and range of the relation R defined by : R = {(x+1,x+5):x in {0, 1, 2, 3, 4, 5}} .

Determine the domain and range of the relation R defined by R = {(x, x + 5) : x in {0, 1, 2, 3, 4, 5}}.

Determine the domain and range of the relation R defined by : R = {(x, x^3): x is prime number less than 10}.

If R= {(x,y):x, y in Z, x^2+y^2le9} is a realation on Z, then domain of R is:

Find the derivative of y w.r.t x in each of the following: sin^2y + cos xy = pi