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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

Choose the correct alternative: The rule f(x) = x2 is a bijection if the domain and the co-domain are given by

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प्रश्न

Choose the correct alternative:

The rule f(x) = x2 is a bijection if the domain and the co-domain are given by

पर्याय

  • R, R

  • R,(0, ∞)

  • (0, ∞), R

  • [0, ∞), [0, ∞)

MCQ
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उत्तर

[0, ∞), [0, ∞)

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 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
पाठ 1 Sets, Relations and Functions
Exercise 1.5 | Q 17 | पृष्ठ ४७

संबंधित प्रश्‍न

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


Determine the domain and range of the relations:

(i) R = {(a, b) : a ∈ N, a < 5, b = 4}


If n(A) = 3, n(B) = 4, then write n(A × A × B).

 

If R = [(x, y) : x, y ∈ W, 2x + y = 8], then write the domain and range of R.


If P = {1, 2, 3) and Q = {1, 4}, find sets P × Q and Q × P


Answer the following:

Determine the domain and range of the following relation.

R = {(a, b)/a ∈ N, a < 5, b = 4}


Answer the following:

Check if R : Z → Z, R = {(a, b)/2 divides a – b} is equivalence relation.


Answer the following:

Show that the relation R in the set A = {1, 2, 3, 4, 5} Given by R = {(a, b)/|a − b| is even} is an equivalence relation.


Answer the following:

Show that the following is an equivalence relation

R in A is set of all books. given by R = {(x, y)/x and y have same number of pages}


Multiple Choice Question :

The range of the relation R = {(x, x2) | x is a prime number less than 13} is ________


Choose the correct alternative:

The relation R defined on a set A = {0, −1, 1, 2} by xRy if |x2 + y2| ≤ 2, then which one of the following is true?


Is the following relation a function? Justify your answer

R1 = `{(2, 3), (1/2, 0), (2, 7), (-4, 6)}`


Is the following relation a function? Justify your answer

R2 = {(x, |x |) | x is a real number}


If R = {(x, y): x, y ∈ Z, x2 + 3y2 ≤ 8} is a relation on the set of integers Z, then the domain of R–1 is ______.


Let f: R `rightarrow` R be defined by f(x) = `x/(1 + x^2), x ∈ R`. Then the range of f is ______.


Which statement defines a relation from set \(A\) to set \(B\)?


A function from set \(A\) to set \(B\) is a relation in which:


When are two ordered pairs \((a,b)\) and \((c,d)\) equal?


The Cartesian product \(A\times A\) has \(9\) elements and contains \((-1,0)\) and \((0,1)\). What is \(A\)?


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