Class 12 Relations And Functions · Short Answer2 Markstypes_of_functions
Class 12 Maths · Relations And Functions · Short Answer #164
Let R={(x,3):x∈N,x<5}. Find R⁻¹, its domain and its range.
✅ Step-by-Step Solution
Final Answer: R⁻¹={(3,1),(3,2),(3,3),(3,4)}; domain {3}; range {1,2,3,4}.
- The allowed inputs are 1,2,3,4, so R={(1,3),(2,3),(3,3),(4,3)}.
- Reverse each ordered pair to obtain R⁻¹={(3,1),(3,2),(3,3),(3,4)}.
- The first coordinates give domain {3}; the second coordinates give range {1,2,3,4}.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] The allowed inputs are 1,2,3,4, so R={(1,3),(2,3),(3,3),(4,3)}.
- [1 mark] Reverse each ordered pair to obtain R⁻¹={(3,1),(3,2),(3,3),(3,4)}.
- [0.5 marks] The first coordinates give domain {3}; the second coordinates give range {1,2,3,4}.
Master Chapter 1: Relations And Functions
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Relations And Functions.
← Previous Question
On R, define aRb iff a<b. Test symmetry and transitivity.
Next Question →For A={1,2,3,4}, B={2,4,6,8}, prove that f:A→B, f(x)=2x, is bijective.
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…