Which of the following is an equivalence relation defined on set A = {1, 2, 3} -Maths 9th

Which of the following is an equivalence relation defined on set A = {1, 2, 3} -Maths 9th
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Answer :

(c) {(1, 1), (2, 2), (3, 1), (1, 3), (3, 3)} Option (c) satisfies all the conditions of an equivalence relation. • (1, 1), (2, 2), (3, 3) ∈ R ⇒ (a, a) ∈ R V a ∈ A ⇒ R is reflexive • (3, 1) ∈ R and (1, 3) ∈ R ⇒ (a, b) ∈ R ⇒ (b, a) ∈ R V a, b ∈ A ⇒ symmetric • (1, 3) ∈ R, (3, 1) ∈ R and (1, 1) ∈ R ⇒ (a, b) ∈ R, (b, c) ∈ R ⇒ (a, c) ∈ R V a, b, c ∈ A ⇒ R is transitive.
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Last Answer : (a) \(rac{1}{25}\) Let us assume S as the sample space in all questions. S means the set denoting the total number of outcomes possible. Let S = {1, 2, 3, , 100} be the sample space. Then, n(S) = 100 Let A : ... ∴Required probability P(A) = \(rac{n(A)}{n(S)}\) = \(rac{4}{100}\) = \(rac{1}{25}\)

Find the solution set of x^2 – 5x + 6 > 0. -Maths 9th

Description : Find the solution set of x^2 – 5x + 6 > 0. -Maths 9th

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Solve the following pairs of inequations and also graph the solution set -Maths 9th

Description : Solve the following pairs of inequations and also graph the solution set -Maths 9th

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The solution set for the inequality 2x – 10 < 3x – 15 over the set of real numbers is -Maths 9th

Description : The solution set for the inequality 2x – 10 < 3x – 15 over the set of real numbers is -Maths 9th

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The set of values for which x^3 + 1 > x^2 + x is -Maths 9th

Description : The set of values for which x^3 + 1 > x^2 + x is -Maths 9th

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Find the complete set of values that satisfy the inequalities | |x| – 3 | < 2 and | |x| – 2| < 3. -Maths 9th

Description : Find the complete set of values that satisfy the inequalities | |x| – 3 | < 2 and | |x| – 2| < 3. -Maths 9th

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