Which of the following figures shows a bijective function from set X₁ to set X₂:

Choose the correct answer from the options given below:

(C), (E) only

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.