Class 12 Relations And Functions · Mcq Single Correct1 Markstypes_of_relations
Class 12 Maths · Relations And Functions · Mcq Single Correct #112
On \(A=\{1,2,3,4,5\}\), the relation \(R=\{(a,b):|a^2-b^2|<7\}\) is
✅ Step-by-Step Solution
Final Answer: Option (D): \(\{(1,1),(2,2),(3,3),(4,4),(5,5),(1,2),(2,1),(2,3),(3,2)\}\)
- All five diagonal pairs qualify. The off-diagonal differences below 7 are \(|1^2-2^2|=3\) and \(|2^2-3^2|=5\), in both directions. The next difference is \(|3^2-4^2|=7\), which fails the strict bound. The full relation has nine pairs, including \((2,1)\) and \((3,2)\).
Master Chapter 1: Relations And Functions
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Relations And Functions.
← Previous Question
Let \(A=\{1,2,3\}\) and…
Next Question →Assertion: Let \(L\) be all lines in a plane. The relation…
More Practice Questions in Relations And Functions
Related Questions in Relations And Functions
Class 12 Relations And Functions · Mcq Single Correct
Given the relation \(R=\{(1,2),(2,3)\}\) on the set \(A=\{1,2,3\}\), the minimum number of…
Class 12 Relations And Functions · Mcq Single Correct
The function \(f:\mathbb{R}\to\mathbb{R}\) defined by \(f(x)=e^x\) is
Class 12 Relations And Functions · Mcq Single Correct
If \(f:\mathbb{R}\to\mathbb{R}\)…
Class 12 Relations And Functions · Mcq Single Correct
If \(f:\mathbb{R}\to S\), defined by \(f(x)=\sin x-\sqrt{3}\cos x+1\), is onto, then the…
Class 12 Relations And Functions · Mcq Single Correct
Let \(A=\{1,2,3\}\) and \(B=\{a,b,c\}\). Then the number of bijective functions from \(A\) to…
Class 12 Relations And Functions · Mcq Single Correct
Let \(A\) and \(B\) be two finite sets having \(m\) and \(n\) elements respectively. Then the…