Question

The relation \( R \) defined on the set \( A = \{1, 2, 3, 4, 5\} \) by \( R = \{(x, y) : |x^2 - y^2|<16 \} \) is given by:

• A. \( \{(1, 1), (2, 1), (3, 1), (4, 1), (2, 3)\} \)
• B. \( \{(2, 1), (3, 2), (4, 2), (5, 4)\} \)
• C. \( \{(3, 3), (4, 5)\} \)
• D. None of these

Hint:

When working with relations, check each pair of elements to see if they satisfy the given condition.

Answer 1

The Correct Option is D

The relation \( R \) is defined by the condition \( |x^2 - y^2|<16 \). We need to check the pairs that satisfy this condition. After checking, we find that none of the given options are correct.