NCERT Class 12 · Ch 1 Exercise 1.1 · Q16
NCERT Class 12 Maths · Chapter 1 Relations And Functions · Exercise 1.1 Question 16
On ℕ, aRb iff a=b−2 and b>6. Which pair belongs to R?
💡 Concept Hints
- Test both conditions for each option.
- Work through the definitions using the stated domain and codomain; justify a failed universal property with one valid counterexample.
✅ Step-by-Step Solution
Final Answer: C: (6,8).
- A pair must satisfy both a=b−2 and b>6.
- (2,4) fails b>6; (3,8) fails a=b−2.
- (6,8) satisfies 6=8−2 and 8>6; (8,7) fails 8=7−2.
- Therefore only option C belongs.
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