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Relations and Functions

Short Answer Type

1. Find the values of x and y when.

space space space space space space space space left parenthesis 2 straight x comma space straight x plus straight y right parenthesis space equals space left parenthesis 6 comma space 2 right parenthesis

606 Views

space space space space space space space space open parentheses straight x over 3 plus 1 comma space straight y minus 2 over 3 close parentheses equals open parentheses 5 over 3 comma 1 third close parentheses

, find the values of x and y.

533 Views

3. Find the values of x and y when

(x²^--x, y²-3y+2)=(0, 0)

343 Views

If A = {a, b, c} and B = {p, q}, then find :

(i) A x B (ii) B x A (iii) A x A (iv) B x B (v) n (A x B) (vi) n (B x A) (vii) n (A x A) (viil) n (B x B).

490 Views

5. Let A = {1,2,3}, $space space space space space space space space straight B space equals space left curly bracket straight x space colon space straight x space is space even space prime space and space 10 space less or equal than space straight x space less or equal than space 27 right curly bracket$

Find A X B

A = {1, 2, 3}

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The only even priome number is 2 and it does not lie between 10 a nd 27.

∴ $space space space space space space space space space space space space straight B space equals space left curly bracket space right curly bracket space straight ϕ$

$space space space space space space space space space space space space space rightwards double arrow space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space straight A space space straight X space space space straight B space equals space straight A space straight X space straight ϕ space equals space straight ϕ$

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If A = {1, 2}, B = {3, 4} and C ={x : x is even x divides 15}, that show that

$space space space space straight A space straight x space left parenthesis straight B intersection straight C right parenthesis space equals space straight ϕ$

237 Views

State whether each of the following statements are True or False. If the statement is False, re-write it correctly.

(i) P = {m, n} and Q = {n, m}, then P x Q = {(m, n), (n, m)}

(ii) If A and B are two non-empty sets, then A x B is a non-empty set of ordered pairs (x, y) such that