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

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 Multiple Choice QuestionsShort 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
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2. 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.
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3. Find the values of x and y when

(x2--x, y-3y+2)=(0, 0)
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4.

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).

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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

 

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6.

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


A = {1, 2}, B = {3, 4}

C = {x : xis even and x divides 15}

Since no even number divides 15

∴  space space space space space space space space space space space space space space straight C space equals space left curly bracket space right curly bracket space equals space straight ϕ

 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 space space space space space space space space space straight B space intersection space straight C space equals space straight B space intersection space straight ϕ space equals space straight ϕ

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

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7.

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 space space space space straight x element of straight B space and space straight y element of straight A.

(iii) If A = {1, 2}, B = {3, 4}, then space space space space space space space space space space straight A space cross times left parenthesis straight B intersection straight ϕ right parenthesis equals straight ϕ
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8.

If A = {–1, 1}, find A × A × A.

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9. Let A = {–1, 1}, B = {2, 3}, C = {3, 5} be subsets of real numbers.


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10. Let A = {–1, 1}, B = {2, 3}, C = {3, 5} be subsets of real numbers.

n(A X A)


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