हिंदी

Let A be a finite set. Then, each injective function from A into itself is not surjective.

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प्रश्न

Let A be a finite set. Then, each injective function from A into itself is not surjective.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
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उत्तर

This statement is False.

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अध्याय 1: Relations And Functions - Solved Examples [पृष्ठ १०]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 12
अध्याय 1 Relations And Functions
Solved Examples | Q 31 | पृष्ठ १०

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Give an example of a function which is neither one-one nor onto ?


Classify the following function as injection, surjection or bijection :

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Let A = [-1, 1]. Then, discuss whether the following function from A to itself is one-one, onto or bijective : g(x) = |x|  


Find the number of all onto functions from the set A = {1, 2, 3, ..., n} to itself.


Give examples of two one-one functions f1 and f2 from R to R, such that f1 + f2 : R → R. defined by (f1 + f2) (x) = f1 (x) + f2 (x) is not one-one.


Given A = {2, 3, 4}, B = {2, 5, 6, 7}. Construct an example of each of the following:
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If A = {1, 2, 3} and B = {ab}, write the total number of functions from A to B.


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Let

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Let

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Let A = R − (2) and B = R − (1). If f: A ⟶ B is a function defined by`"f(x)"=("x"-1)/("x"-2),` how that f is one-one and onto. Hence, find f−1


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Raji visited the Exhibition along with her family. The Exhibition had a huge swing, which attracted many children. Raji found that the swing traced the path of a Parabola as given by y = x2.

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