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J

Joydev 04/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Relations

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

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Mamata replied | 24/11/2016

A x B= { (2,3), (2,4), (3,3), (3,4) }.

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Answer

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A

Aman 04/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Relations

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?

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Shikha replied | 23/11/2016

Domain would be set of all integer while range would be set of all even numbers.

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Answer

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A

Anish 04/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Relations

Determine the domain and the range of the relation R, where R = {(x, cube of x) : x is a prime number less than 10}?

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Shikha replied | 22/11/2016

Domain: {2,3,5,7} while Range = {8,27,125,343}.

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Answer

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M

Mayur 04/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Relations

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

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Shikha replied | 22/11/2016

m*n. They are the Cartesian product of both the sets.

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B

Bonita 04/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Relations

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

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Shikha replied | 22/11/2016

A*A={(1,a), (1,b), (2,b),(3,a),(3,b)(2,a)}

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Answer

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P

P 04/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Relations

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

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A

Ashwini replied | 26/11/2016

6

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Answer

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M

Meghana 04/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Relations

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

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Mamata replied | 18/11/2016

BxB= {a,b} x{ a,b}
= {(a,a),(a,b),(b.a),b,b)}

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Answer

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M

Mohd 04/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Relations

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

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A

Ashwini replied | 26/11/2016

-1 to 1

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Answer

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S

Sandeep 04/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Relations

How many types of relations are there?

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Kusuma replied | 01/12/2016

4- Reflexive, Symmetric, Transitive and Equivalence

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Answer

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S

Sharanya 04/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Relations

Define one to one relation?

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Kusuma replied | 01/12/2016

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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Answer

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D

Datta 04/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Relations

If R is the relation “less than” from A = {1, 2, 3, 4, 5} to B = {1, 4, 5}, write down the set of ordered pairs corresponding to R. Find the inverse relation to R?

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Answer

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M

Misha 04/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Relations

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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Answer

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S

Sriram 04/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Relations

If R is the relation in N x N defined by (a, b) R (c, d) if and only if a + d = b + c, show that R is an equivalent relation?

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Answer

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D

Dinesh 04/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Relations

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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Answer

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P

Priyanka 04/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Relations

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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Answer

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R

Rasneet 04/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Relations

Let A = {1, 2}, b = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8}. Verify that A x C subset of B x D?

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N

Navneet 04/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Relations

Let A be non empty set such that A x B = A x C. Show that B = C?

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Answer

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R

Rajendra 04/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Relations

Let A = {1, 2, 3, 4} and B = {x, y, z}. Let R be a relation from A to B defined by R = {(1, x), (1, z), (3, x), (4, y)}. Find the domain and range of R?

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Answer

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P

Pooja 04/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Relations

Let A = {1, 2, 3, 4} and B = {x, y, z}. Let R be a relation from A to B defined by R = {(1, x), (1, z), (3, x), (4, y)}. Draw the arrow diagram of relation R?

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Answer

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C

Chinmayee 04/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Relations

In N x N, show that the relation defined by (a, b) R (c, d) if only if ad = bc is an equivalence relation?

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Answer

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K

Krishna 04/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Relations

Define range and domain in terms of relation?

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Answer

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P

Poonam 04/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Relations

Define relation with respect to mathematics?

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Answer

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R

Ramkumar 04/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Relations

Define equivalence relation?

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Answer

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N

Neha 04/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Relations

Let A = {1, 2}. List all the relations on A?

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Answer

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G

Girija Sankar 04/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Relations

Let A = {x, y, z} and B = {1, 2}. Find the number of relations from A into B?

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Answer

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