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Mathematics > Relations and Functions > Learn Relations

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Answered on 24/11/2016 Learn Relations +2 Mathematics Class IX-X Tuition

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

Mamta Mund

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A x B= { (2,3), (2,4), (3,3), (3,4) }.
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Answered on 23/11/2016 Learn Relations +2 Mathematics Class IX-X Tuition

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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?

Shikha Yadav

Success in CBSE / ICSE Class 12 and 10 Mathematics Boards

Domain would be set of all integer while range would be set of all even numbers.
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Answered on 22/11/2016 Learn Relations +2 Mathematics Class IX-X Tuition

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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}?

Shikha Yadav

Success in CBSE / ICSE Class 12 and 10 Mathematics Boards

Domain: {2,3,5,7} while Range = {8,27,125,343}.
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Answered on 22/11/2016 Learn Relations +2 Mathematics Class IX-X Tuition

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How many relations are possible from a set a of m elements to another set B of n elements? Why?

Shikha Yadav

Success in CBSE / ICSE Class 12 and 10 Mathematics Boards

m*n. They are the Cartesian product of both the sets.
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Answered on 22/11/2016 Learn Relations +2 Mathematics Class IX-X Tuition

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

Shikha Yadav

Success in CBSE / ICSE Class 12 and 10 Mathematics Boards

A*A={(1,a), (1,b), (2,b),(3,a),(3,b)(2,a)}
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Answered on 18/11/2016 Learn Relations +2 Mathematics Class IX-X Tuition

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

Mamta Mund

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BxB= {a,b} x{ a,b} = {(a,a),(a,b),(b.a),b,b)}
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Answered on 26/11/2016 Learn Relations +2 Mathematics Class IX-X Tuition

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Find the range of the following functions: angle [cos (x)] - angle [sin (x)]?

Ashwini

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Asked on 04/11/2016 Learn Relations +2 Mathematics Class IX-X Tuition

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If A = {1, 2, 3}, B = {4}, C = {5}, then verify that: A x (B union of C) = (A x B) union of (A x C)?

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Asked on 04/11/2016 Learn Relations +2 Mathematics Class IX-X Tuition

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Let A = {1, 2, 3, 4} and S = {(a, b): a belongs to A, b belongs to A, a divides b}. Write S explicitly?

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Asked on 04/11/2016 Learn Relations +2 Mathematics Class IX-X Tuition

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Let A and B be two sets such that n(A) = 3 and n(B) = 2. If (x, 1), (y, 2), (z, 1) are in A x B, find...
Let A and B be two sets such that n(A) = 3 and n(B) = 2. If (x, 1), (y, 2), (z, 1) are in A x B, find A and B, where x, y, z are distinct elements?

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