Let R be the relation on Z defined by R=...

Let R be the relation on Z defined by `R= {(a,b): a, b in Z, a-b "is an integer").` Find the domain and range of R.

Text Solution

Verified by Experts

The correct Answer is:

True Statement

Topper's Solved these Questions

OBJECTIVE SECTION AS PER NEW PAPER SCHEME
KUMAR PRAKASHAN|Exercise Trigonometric Functions (Fill in the blanks)|62 Videos
OBJECTIVE SECTION AS PER NEW PAPER SCHEME
KUMAR PRAKASHAN|Exercise Trigonometric Functions (True /False Statement)|40 Videos
OBJECTIVE SECTION AS PER NEW PAPER SCHEME
KUMAR PRAKASHAN|Exercise Relations and Functions (Fill in the blanks)|60 Videos
MATHEMATICAL REASONING
KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (Knowledge Test:)|2 Videos
PERMUTATIONS AND COMBINATIONS
KUMAR PRAKASHAN|Exercise PRACTICE WORK |40 Videos

Similar Questions

Explore conceptually related problems

R = {(a, b): b= |a-1|, a in Z and |a| le 3} . Find the domain and Range of R

If R= {(x,y): x, y in W, x^(2)+ y^(2)= 25} , then find the domain and range of R.

R= {(x,y): x, y in N, x + y= 8} . Find the domain and range of R.

Let A= (1, 2, 3, 4, 6). Let R be the relation on A defined by {(a,b) a, b in A,b is exactly divisible by a] (i) Write R in roster form (ii) Find the domain of R (iii) Find the range of R.

Let R be a relation defined by R = {(a, b) : a ge b }, where a and b are real numbers, then R is

Let R be a relation from Q to Q defined by R={(a,b): a,b in Q and a-b in Z} . Show that (i) (a,a) in R" for all " a in Q (ii) (a,b) in R implies that (b,a) inR (iii) (a,b) in R and (b,c) in R implies that (a,c) in R

Let R be a relation from N to N defined by R={(a,b): a, b in N and a=b^(2)). Are the following true? (i) (a,a) in R," for all " a in N (ii) (a,b) in R," implies "(b,a) in R (iii) (a,b) in R, (b,c) in R" implies "(a,c) in R . Justify your answer in each case.

R = {(a, b)": a in N, b in N, a+ 3b = 12} . Express R as roster method. Find the domain and range of R.

R = {(a, b): a in N, a lt 5, b= 4} write domain and range of R.

Let R be the relation on the set N given by R= { (a, b): a= b-2, b gt 6} . Choose the correct answer.

KUMAR PRAKASHAN-OBJECTIVE SECTION AS PER NEW PAPER SCHEME -Relations and Functions (True /False Statement )

f:R^(+)rarrR^(+),f(x)=x^2+4(sqrtx)+3 then f(4) = 24.
Text Solution
|
Graph of identity function passes from origin and also from first , th...
Text Solution
|
f and g are real functions defined by f(x)= 2x + 1 and g(x) =4x -7. If...
Text Solution
|
Let R be the relation on Z defined by R= {(a,b): a, b in Z, a-b "is an...
Text Solution
|
Find the domain of the function f(x)=(x^(2)+3x+5)/(x^(2)-5x+4)
Text Solution
|
Set A has three elements and B = {a, b, c,d} then numbers of elements ...
Text Solution
|
If n(A) = p and n (B) = q then numbers of non void relations from A to...
Text Solution
|
Let R = {(1, 3), (2, 2), (3, 2)} and S = {(2, 1), (3, 2), (2, 3)} be t...
Text Solution
|
A = {3k| k in N} B = {3k -1|k in N} and C = {3k-2| k in N}. Then A , B...
Text Solution
|
n(A DeltaB) = n(A) + n(B) - 2n (A cap B)
Text Solution
|
If [n(A)]^(3) = 8 and {0,1,0} in A^3 then a = {0,1}
Text Solution
|
Let A = {x : x is a natural number}, B = {x : x is an even natural n...
Text Solution
|
f: R rarr R, f(x) = sec^(2)x - tan^(2) x is constant function .
Text Solution
|
Graph of constant function is line parallel to Y - axis (means graph i...
Text Solution
|
For xne0 ,f(x) = (x-|x|)/(|x|) then f(-1)=0
Text Solution
|
f:R^(+)rarrR^(+),f(x)=x^2+4(sqrtx)+3 then f(4) = 24.
Text Solution
|
Graph of identity function passes from origin and also from first , th...
Text Solution
|
f and g are real functions defined by f(x)= 2x + 1 and g(x) =4x -7. If...
Text Solution
|
Let R be the relation on Z defined by R= {(a,b): a, b in Z, a-b "is an...
Text Solution
|
Find the domain of the function f(x)=(x^(2)+3x+5)/(x^(2)-5x+4)
Text Solution
|