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Let A = {2, 3} and B = {3, 4}. Write all subsets of A x B?

Mamta Mund

Maths Tutor

A x B= { (2,3), (2,4), (3,3), (3,4) }.
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Let R be the relation on Z defined by a R b if and only if a - b is an even integer. Find domain of R and range of R?

Tutor

Domain would be set of all integer while range would be set of all even numbers.
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Determine the domain and the range of the relation R, where R = {(x, cube of x) : x is a prime number less than 10}?

Tutor

Domain: {2,3,5,7} while Range = {8,27,125,343}.
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How many relations are possible from a set a of m elements to another set B of n elements? Why?

Tutor

m*n. They are the Cartesian product of both the sets.
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If A = {1, 2, 3}, B = {a, b}, find A x A?

Tutor

A*A={(1,a), (1,b), (2,b),(3,a),(3,b)(2,a)}
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If A = {1, 2, 3}, B = {a, b}, find A x B?

Ashwini

commerce

6
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If A = {1, 2, 3}, B = {a, b}, find B x B?

Mamta Mund

Maths Tutor

BxB= {a,b} x{ a,b} = {(a,a),(a,b),(b.a),b,b)}
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Find the range of the following functions: angle [cos (x)] - angle [sin (x)]?

Ashwini

commerce

-1 to 1
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How many types of relations are there?

Kusuma S.

4- Reflexive, Symmetric, Transitive and Equivalence
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Define one to one relation?

Kusuma S.

It includes only two ends. In other words, Information is passed from one end to other end (Not more than one end).
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