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If F : a → B is an Injection, Such that Range of F = {A}, Determine the Number of Elements in A.

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प्रश्न

If f : A → B is an injection, such that range of f = {a}, determine the number of elements in A.

योग
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उत्तर

Range of f = {a}
So, the number of images of  f = 1
Since, f  is an injection, there will be exactly one image for each element of f .
So, number of elements in A = 1.

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अध्याय 2: Functions - Exercise 2.1 [पृष्ठ ३१]

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आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 2 Functions
Exercise 2.1 | Q 6 | पृष्ठ ३१

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