exercise 2.1 (ncert class 11th maths) – eduhilfe

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Asked: June 12, 2020In: NCERT 11th Maths

10. The Cartesian product A × A has 9 elements among which are found (–1, 0) and (0,1). Find the set A and the remaining elements of A × A.

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Asked: June 12, 2020In: NCERT 11th Maths

9. 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 × B, find A and B, where x, y and z are distinct elements.

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Asked: June 12, 2020In: NCERT 11th Maths

8. Let A = {1, 2} and B = {3, 4}. Write A × B. How many subsets will A × B have? List them.

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Asked: June 12, 2020In: NCERT 11th Maths

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

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(i) A × (B ∩ C) = (A × B) ∩ (A × C) (ii) A × C is a subset of B × D.

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Asked: June 12, 2020In: NCERT 11th Maths

6. If A × B = {(a, x),(a, y),(b, x),(b, y)}. Find A and B.

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Asked: June 12, 2020In: NCERT 11th Maths

5. If A = {–1, 1}, find A × A × A.

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Asked: June 12, 2020In: NCERT 11th Maths

4. State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly.

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(i) If P = {m, n} and Q = {n, m}, then P × Q = {(m, n),(n, m)}. (ii) If A and B are non-empty sets, then A × B is a non-empty set of ordered pairs (x, y) such ...

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Asked: June 12, 2020In: NCERT 11th Maths

3. If G = {7, 8} and H = {5, 4, 2}, find G × H and H × G.

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Asked: June 12, 2020In: NCERT 11th Maths

2. If the set A has 3 elements and the set B = {3, 4, 5}, then find the number of elements in (A × B).

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Asked: June 12, 2020In: NCERT 11th Maths

1. If $\mathbff{(\frac{x}{3} + 1, y - \frac{2}{3}) = (\frac{5}{3}, \frac{1}{3})}$ , find the value of x and y.

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