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Choose the correct alternative: Let R be the universal relation on a set X with more than one element. Then R is

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प्रश्न

Choose the correct alternative:

Let R be the universal relation on a set X with more than one element. Then R is

विकल्प

  • not reflexive

  • not symmetric

  • transitive

  • none of the above

MCQ
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उत्तर

transitive

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Sets, Relations and Functions - Exercise 1.5 [पृष्ठ ४७]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 1 Sets, Relations and Functions
Exercise 1.5 | Q 13 | पृष्ठ ४७

संबंधित प्रश्न

Let A = {x, y, z} and B = {1, 2}. Find the number of relations from A to B.


The relation f is defined by f(x) = `{(x^2,0<=x<=3),(3x,3<=x<=10):}`

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Show that f is a function and g is not a function.


Find the inverse relation R−1 in each of the cases:

(i) R = {(1, 2), (1, 3), (2, 3), (3, 2), (5, 6)}


If R is a relation defined on the set Z of integers by the rule (x, y) ∈ R ⇔ x2 + y2 = 9, then write domain of R.


If R is a relation on the set A = [1, 2, 3, 4, 5, 6, 7, 8, 9] given by x R y ⇔ y = 3x, then R =


If R is a relation from a finite set A having m elements of a finite set B having n elements, then the number of relations from A to B is


Write the relation in the Roster Form. State its domain and range

R8 = {(a, b)/b = a + 2, a ∈ z, 0 < a < 5}


Select the correct answer from given alternative

If A = {a, b, c} The total no. of distinct relations in A × A is


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If A = {1, 2, 3}, B = {4, 5, 6} check if the following are relations from A to B. Also write its domain and range

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Answer the following:

Determine the domain and range of the following relation.

R = {(a, b)/a ∈ N, a < 5, b = 4}


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Choose the correct alternative:

Let X = {1, 2, 3, 4} and R = {(1, 1), (1, 2), (1, 3), (2, 2), (3, 3), (2, 1), (3, 1), (1, 4), (4, 1)}. Then R is


Choose the correct alternative:

Let f : R → R be defined by f(x) = 1 − |x|. Then the range of f is


Is the following relation a function? Justify your answer

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Is the given relation a function? Give reasons for your answer.

h = {(4, 6), (3, 9), (– 11, 6), (3, 11)}


Let n(A) = m, and n(B) = n. Then the total number of non-empty relations that can be defined from A to B is ______.


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