Relation & Functions Quiz 3 – Punjab Meritorious School Preparation Portal

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Which one of the following is correct? The relation R = {(1,1), (2, 2), (3, 3)} on a set A = {1, 2, 3} is

only reflexive

only symmetric

only transitive

reflexive, symmetric and transitive

If f(x) = ax + b, where a and b are integers, f(–1) = – 5 and f(3) = 3, then a and b are equal to

a = – 3, b = –1

a = 2, b = – 3

a = 0, b = 2

a = 2, b = 3

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

reflexive

symmetric

anti-symmetric

transitive

If A = {1, 2, 3, 4} and R = {(1,1), (1, 3), (2, 2), (3,1), (3, 4), (4, 3), (4, 4)} is a relation on AxA, then which

one of the following is correct?

R is reflexive

R is symmetric and transitive

R is transitive, but not reflexive

R is neither reflexive nor transitive

If f(x) = x³– (1/x³), then f(x) + f(1/x) is equal to

Which of the following statements is not correct for the relation R defined by aRb if and only if b lives within 1 km from a?

R is reflexive

R is symmetric

R is not anti-symmetric

None of the above

x² = xy is a relation which is

Symmetric

Reflexive

Transitive

None of these

Both A and R are individually true and R is the correct explanation of A.

Both A and R are individually true but R is not the correct explanation of A.

A is true but R is false.

A is false but R is true.

Question is mentioned below :

R is reflexive only

R is symmetric only

R is transitive only

R is reflexive and transitive

Assertion (A) If A = {1, 2, 3}, B = {2, 4}, then the number of relation from A to B is equal to 26.

Reason (R) The total number of relation from set A to set B is equal to { 2^n(a).n(b)}

Both A and R are individually true and R is the correct explanation of A.

Both A and R are individually true but R is not the correct explanation of A.

A is true but R is false.

A is false but R is true.

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