Let Q be the set of all rational numbers, find f-1 if f: Q→Q ; f(x)= (3x+5) for all xQ.
y-5
3y-5
3(y-5)
1/3 (y-5)
Let R be a set of real numbers and let S be a relaion defined on R as follows. xSy, iff x2+y2=1.
Which one of the following statements is correct?
S is a reflexive relation
S is a symmetric relation
S is a transitive relation
S is an anti-symmetric relation
For real numbers x and y, are wirte x R y . x2-y2+√3 is irrational number. Then the relation R is
Reflexive
Symmetric
Transitive
None of these
If R be a relation on NxN defined by (a,b) R (c,d) iff ad= bc; then R is
An equivalence relation
Symmetric and transitive but not reflexive
Reflexive and transitive but not symmetric
Reflexive and symmetric but not trasitive.
Let f: R→R; f(x) = (x2-3x+2). Then f(f(y))=
x4+6x3+10x2-3x
x4-6x3-10x2-3x
x4-6x3+10x2-3x
x4+6x3-10x2+3x
If A = {1,2,3,4} and B = {2,3,5} then identify the correct relation, among the following from A to B given by xRy, iff x ‹ y
R = {(1,2), (1,3), (2,1), (2,3)}
R = {(3,2), (3,3), (3,4), (3,5)}
R = {(1,2), (1,3), (2,3), (2,5)}
R = {(1,3), (1,5), (3,2), (4,2)}
Let f: A→ B. If two or more than two elements have the same image in B, then f is said to be
Many one function
One- one function
Unto function
Into function
The relation R on a set A= {1,2,3,4} is defined as {(1,1), (1,3), (2,2), (2,3), (3,1),(3,2) }. Then R is
Anti -symmetric
If A, B and C are non empty sets then Ax (B C)=
(AxB) (AxC)
(AxC) (AxA)
(AxB) (BxC)
Let A = {2,3,4,5} and R= {(2,2), (3,3), (4,4) (5,5) } be a relation in A then R is
Trasitive
