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If A = {-3, 3}, form the set A xx A xx A...

If A = {-3, 3}, form the set `A xx A xx A`

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To find the Cartesian product \( A \times A \times A \) where \( A = \{-3, 3\} \), we will follow these steps: ### Step 1: Understand the Cartesian Product The Cartesian product of two sets \( A \) and \( B \), denoted \( A \times B \), is the set of all ordered pairs \( (a, b) \) where \( a \in A \) and \( b \in B \). For three sets, \( A \times A \times A \), it will consist of all ordered triples \( (a_1, a_2, a_3) \) where \( a_1, a_2, a_3 \in A \). ### Step 2: Calculate \( A \times A \) First, we need to find \( A \times A \): - The elements of \( A \) are \( -3 \) and \( 3 \). ...
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AAKASH INSTITUTE ENGLISH-RELATIONS AND FUNCTIONS -Try Yourself
  1. If (x+y, x-y) = (3, 1), find the values of x and y.

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  2. If P = {a, e, i} and Q = {1, 3, 5}, then write P xx Q, Q xx P, P xx P ...

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  3. If A = {-3, 3}, form the set A xx A xx A

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  4. If P = {a, e,i,o, u} and Q = {2, 4, 6, 8, 10}, then find the number o...

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  5. The carterian product P xx P has 16 elements among which two elements ...

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  6. Let A = {p, q, r} and B = {1, 2}. Represent (i) A xx B (ii) B xx ...

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  7. Let A = {5, 10, 15} and B = {a(1), a(2), a(3)}. Represent (i) A xx B...

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  8. Let A = {2, 3, 5, 8} and B = {4, 27, 125, 512}, then which of the fol...

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  9. Let A = {1, 2, 3}, B = {2, 4} and R = {(1, 2), (2, 2), (2, 4), (3, 4)}...

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  10. Let R = {(1, -1), (2, 0), (3, 1), (4,2), (5, 3)}. Then (i) Represent R...

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  11. Let A = {1, 2, 3, 4}, B = {1, 3, 4, 8}. Let R = {x, y) : x in A, y in ...

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  12. Let A = {1, 2, 3, 4, 5, 6}. Define a relation R from A to A by R = {(x...

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  13. Define a relation R on the set N of all natural numbers by R = {(x, y)...

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  14. Given R = {(x, x^(3)), is a prime number less than 10}. Find the domai...

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  15. Let a R b the relation on the set N of all natural numbers defined by ...

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  16. Given A = {p, q}. List all the relations on A.

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  17. Given A = {-7, 7}. List all the relations on A.

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  18. Let A = {x, y, z} , B = {3, 5}. Find the number of relations from A to...

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  19. Let A = {a(1), b(1), c(1)} , B = {r, t}. Find the number of relations ...

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  20. Let A={3,5}a n d\ B={7, 11}dot Let R={(a , b): a in A ,\ b in b ,\ a...

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