Which of the following figures shows a bijective function from set X1 to set X2:
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 3
The correct answer is Option 3: (C), (E) only
A function is bijective if it is both:
- One–one (injective): No two elements in (X¹) map to the same element in (X²)
- Onto (surjective): Every element in (X²) has a pre-image.
Now analyse all options:
(A): Not onto (one element in (X²) is unmapped) - Wrong
(B): Not one–one (two elements map to same image) - Wrong
(C): Each element maps uniquely and all elements in (X²) are covered - Correct
(D): Not onto (one element in (X²) is left)- Wrong
(E): Perfect one–one correspondence and all elements covered- Correct
Hence, only (C) and (E) are bijective.