Functions Question 407

Question: Consider the following statements.

I. If (a, 1), (b, 2) and (c, 1) are in $ A\times B $ and $ n(A)=3,n(B)=2 $ then $ A={a,b,c} $ and $ B={1,2} $ II. If $ A={1,2} $ and $ B={3,4}, $ then $ A\times (B\cap \phi ) $ is equal to $ A\times B. $ Choose the correct option.

Options:

A) Only I is true

B) Only II is true

C) Both are true

D) Neither I nor II is true

Show Answer

Answer:

Correct Answer: A

Solution:

[a] I. A = Set of first elements $ ={a,b,c} $ B = Set of second elements $ ={1,2} $ II. $ B\cap \phi =\phi \therefore A\times \phi =\phi $



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