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Ex 2.1, 4 - True or false (i) If P = {m, n}, Q = {n, m}, P x Q - Finding Catesian Product

 

  1. Chapter 2 Class 11 Relations and Functions
  2. Serial order wise
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Ex2.1, 4 State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (i) If P = {m, n} and Q = { n, m}, then P ×Q = {(m, n),(n, m)}. P = {"m, n" } Q = {"n, m" } P × Q = {"m, n" } × {"n, m" } = {(m, n), (m, m), (n, n), (n, m)} Hence. P × Q ≠ {(m, n),(n, m)}.Hence, the given statement is false. The correct statement is If P = {m, n} and Q = { n, m}, then P × Q = {(m, n), (m, m), (n, n), (n, m)} Ex2.1, 4 State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (i) If P = {m, n} and Q = { n, m}, then P ×Q = {(m, n),(n, m)}. P = {"m, n" } Q = {"n, m" } P × Q = {"m, n" } × {"n, m" } = {(m, n), (m, m), (n, n), (n, m)} Hence. P × Q ≠ {(m, n),(n, m)}.Hence, the given statement is false. The correct statement is If P = {m, n} and Q = { n, m}, then P × Q = {(m, n), (m, m), (n, n), (n, m)} Ex2.1, 4 State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (i) If P = {m, n} and Q = { n, m}, then P ×Q = {(m, n),(n, m)}. P = {"m, n" } Q = {"n, m" } P × Q = {"m, n" } × {"n, m" } = {(m, n), (m, m), (n, n), (n, m)} Hence. P × Q ≠ {(m, n),(n, m)}.Hence, the given statement is false. The correct statement is If P = {m, n} and Q = { n, m}, then P × Q = {(m, n), (m, m), (n, n), (n, m)} Ex2.1, 4 State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (i) If P = {m, n} and Q = { n, m}, then P ×Q = {(m, n),(n, m)}. P = {"m, n" } Q = {"n, m" } P × Q = {"m, n" } × {"n, m" } = {(m, n), (m, m), (n, n), (n, m)} Hence. P × Q ≠ {(m, n),(n, m)}.Hence, the given statement is false. The correct statement is If P = {m, n} and Q = { n, m}, then P × Q = {(m, n), (m, m), (n, n), (n, m)} Ex2.1, 4 State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (i) If P = {m, n} and Q = { n, m}, then P ×Q = {(m, n),(n, m)}. P = {"m, n" } Q = {"n, m" } P × Q = {"m, n" } × {"n, m" } = {(m, n), (m, m), (n, n), (n, m)} Hence. P × Q ≠ {(m, n),(n, m)}.Hence, the given statement is false. The correct statement is If P = {m, n} and Q = { n, m}, then P × Q = {(m, n), (m, m), (n, n), (n, m)} Ex2.1, 4 State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (i) If P = {m, n} and Q = { n, m}, then P ×Q = {(m, n),(n, m)}. P = {"m, n" } Q = {"n, m" } P × Q = {"m, n" } × {"n, m" } = {(m, n), (m, m), (n, n), (n, m)} Hence. P × Q ≠ {(m, n),(n, m)}.Hence, the given statement is false. The correct statement is If P = {m, n} and Q = { n, m}, then P × Q = {(m, n), (m, m), (n, n), (n, m)} Ex2.1, 4 State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (i) If P = {m, n} and Q = { n, m}, then P ×Q = {(m, n),(n, m)}. P = {"m, n" } Q = {"n, m" } P × Q = {"m, n" } × {"n, m" } = {(m, n), (m, m), (n, n), (n, m)} Hence. P × Q ≠ {(m, n),(n, m)}.Hence, the given statement is false. The correct statement is If P = {m, n} and Q = { n, m}, then P × Q = {(m, n), (m, m), (n, n), (n, m)} Ex2.1, 4 State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (i) If P = {m, n} and Q = { n, m}, then P ×Q = {(m, n),(n, m)}. P = {"m, n" } Q = {"n, m" } P × Q = {"m, n" } × {"n, m" } = {(m, n), (m, m), (n, n), (n, m)} Hence. P × Q ≠ {(m, n),(n, m)}.Hence, the given statement is false. The correct statement is If P = {m, n} and Q = { n, m}, then P × Q = {(m, n), (m, m), (n, n), (n, m)} Ex2.1, 4 State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (i) If P = {m, n} and Q = { n, m}, then P ×Q = {(m, n),(n, m)}. P = {"m, n" } Q = {"n, m" } P × Q = {"m, n" } × {"n, m" } = {(m, n), (m, m), (n, n), (n, m)} Hence. P × Q ≠ {(m, n),(n, m)}.Hence, the given statement is false. The correct statement is If P = {m, n} and Q = { n, m}, then P × Q = {(m, n), (m, m), (n, n), (n, m)} Ex2.1, 4 State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (i) If P = {m, n} and Q = { n, m}, then P ×Q = {(m, n),(n, m)}. P = {"m, n" } Q = {"n, m" } P × Q = {"m, n" } × {"n, m" } = {(m, n), (m, m), (n, n), (n, m)} Hence. P × Q ≠ {(m, n),(n, m)}.Hence, the given statement is false. The correct statement is If P = {m, n} and Q = { n, m}, then P × Q = {(m, n), (m, m), (n, n), (n, m)} Ex2.1, 4 State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (i) If P = {m, n} and Q = { n, m}, then P ×Q = {(m, n),(n, m)}. P = {"m, n" } Q = {"n, m" } P × Q = {"m, n" } × {"n, m" } = {(m, n), (m, m), (n, n), (n, m)} Hence. P × Q ≠ {(m, n),(n, m)}.Hence, the given statement is false. The correct statement is If P = {m, n} and Q = { n, m}, then P × Q = {(m, n), (m, m), (n, n), (n, m)} Ex2.1, 4 State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (i) If P = {m, n} and Q = { n, m}, then P ×Q = {(m, n),(n, m)}. P = {"m, n" } Q = {"n, m" } P × Q = {"m, n" } × {"n, m" } = {(m, n), (m, m), (n, n), (n, m)} Hence. P × Q ≠ {(m, n),(n, m)}.Hence, the given statement is false. The correct statement is If P = {m, n} and Q = { n, m}, then P × Q = {(m, n), (m, m), (n, n), (n, m)} Ex2.1, 4 State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (i) If P = {m, n} and Q = { n, m}, then P ×Q = {(m, n),(n, m)}. P = {"m, n" } Q = {"n, m" } P × Q = {"m, n" } × {"n, m" } = {(m, n), (m, m), (n, n), (n, m)} Hence. P × Q ≠ {(m, n),(n, m)}.Hence, the given statement is false. The correct statement is If P = {m, n} and Q = { n, m}, then P × Q = {(m, n), (m, m), (n, n), (n, m)} Ex2.1, 4 State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (i) If P = {m, n} and Q = { n, m}, then P ×Q = {(m, n),(n, m)}. P = {"m, n" } Q = {"n, m" } P × Q = {"m, n" } × {"n, m" } = {(m, n), (m, m), (n, n), (n, m)} Hence. P × Q ≠ {(m, n),(n, m)}.Hence, the given statement is false. The correct statement is If P = {m, n} and Q = { n, m}, then P × Q = {(m, n), (m, m), (n, n), (n, m)} Ex2.1, 4 State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (i) If P = {m, n} and Q = { n, m}, then P ×Q = {(m, n),(n, m)}. P = {"m, n" } Q = {"n, m" } P × Q = {"m, n" } × {"n, m" } = {(m, n), (m, m), (n, n), (n, m)} Hence. P × Q ≠ {(m, n),(n, m)}.Hence, the given statement is false. The correct statement is If P = {m, n} and Q = { n, m}, then P × Q = {(m, n), (m, m), (n, n), (n, m)} Ex2.1, 4 State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (i) If P = {m, n} and Q = { n, m}, then P ×Q = {(m, n),(n, m)}. P = {"m, n" } Q = {"n, m" } P × Q = {"m, n" } × {"n, m" } = {(m, n), (m, m), (n, n), (n, m)} Hence. P × Q ≠ {(m, n),(n, m)}.Hence, the given statement is false. The correct statement is If P = {m, n} and Q = { n, m}, then P × Q = {(m, n), (m, m), (n, n), (n, m)} Ex2.1, 4 State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (i) If P = {m, n} and Q = { n, m}, then P ×Q = {(m, n),(n, m)}. P = {"m, n" } Q = {"n, m" } P × Q = {"m, n" } × {"n, m" } = {(m, n), (m, m), (n, n), (n, m)} Hence. P × Q ≠ {(m, n),(n, m)}.Hence, the given statement is false. The correct statement is If P = {m, n} and Q = { n, m}, then P × Q = {(m, n), (m, m), (n, n), (n, m)} Ex2.1, 4 State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (i) If P = {m, n} and Q = { n, m}, then P ×Q = {(m, n),(n, m)}. P = {"m, n" } Q = {"n, m" } P × Q = {"m, n" } × {"n, m" } = {(m, n), (m, m), (n, n), (n, m)} Hence. P × Q ≠ {(m, n),(n, m)}.Hence, the given statement is false. The correct statement is If P = {m, n} and Q = { n, m}, then P × Q = {(m, n), (m, m), (n, n), (n, m)} Ex2.1, 4 State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (i) If P = {m, n} and Q = { n, m}, then P ×Q = {(m, n),(n, m)}. P = {"m, n" } Q = {"n, m" } P × Q = {"m, n" } × {"n, m" } = {(m, n), (m, m), (n, n), (n, m)} Hence. P × Q ≠ {(m, n),(n, m)}.Hence, the given statement is false. The correct statement is If P = {m, n} and Q = { n, m}, then P × Q = {(m, n), (m, m), (n, n), (n, m)} Ex2.1, 4 State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (i) If P = {m, n} and Q = { n, m}, then P ×Q = {(m, n),(n, m)}. P = {"m, n" } Q = {"n, m" } P × Q = {"m, n" } × {"n, m" } = {(m, n), (m, m), (n, n), (n, m)} Hence. P × Q ≠ {(m, n),(n, m)}.Hence, the given statement is false. The correct statement is If P = {m, n} and Q = { n, m}, then P × Q = {(m, n), (m, m), (n, n), (n, m)} Ex2.1, 4 State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (i) If P = {m, n} and Q = { n, m}, then P ×Q = {(m, n),(n, m)}. P = {"m, n" } Q = {"n, m" } P × Q = {"m, n" } × {"n, m" } = {(m, n), (m, m), (n, n), (n, m)} Hence. P × Q ≠ {(m, n),(n, m)}.Hence, the given statement is false. The correct statement is If P = {m, n} and Q = { n, m}, then P × Q = {(m, n), (m, m), (n, n), (n, m)} Ex2.1, 4 State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (ii) If A and B are non-empty sets, then A × B is a non-empty set of ordered pairs (x, y) such that x ∈ A and y ∈ B. By definition of cross product, Given two non-empty sets A and B A × B = {"( x, y); x ∈ A , y ∈ B" } Hence the given statement is true. Ex 2.1, 4 State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (iii) If A = {1, 2}, B = {3, 4}, then A ×(B ∩ φ) = φ B = {"3, 4" } B ∩ φ = {"3, 4" } ∩ φ = φ A × (B ∩ φ) = {"1, 2" } × φ = φ Hence, the given statement is true.

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
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