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RELATIONS AND FUNCTIONS — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSRELATIONS AND FUNCTIONS1 Mark
Question
A constant function f : A → B will be one-one if:
  1. n(A) = n(B)
  2. n(A) = 1
  3. n(B) = 1
  4. n(A) < n(B)
✓

Answer

  1. n(A) = 1
Solution:
Given f is a constant functions.
⇒ range of f is {c}(say)
Since f is one-one
⇒ domain of A should also contain
one element.
$\therefore\text{n(A)}=1$

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