JEE Mains · Maths · STD 11- 2. Relation and Function
Let \( A=\{-2,-1,0,1,2,3,4\} \). Let R be a relation on A defined by xRy if and only if \( 2x+y \le 2 \). Let \(l\) be the number of elements in R. Let m and n be the minimum number of elements required to be added in R to make it reflexive and symmetric relations respectively. Then \( l+m+n \) is equal to:
- A 32
- B 34
- C 33
- D 35
Answer & Solution
Correct Answer
(C) 33
Step-by-step Solution
Detailed explanation
\(R\{(-2, a),(-1, b),(0, c),(1, d),(2, e)\}\) \(a =\{-2,-1,0,1,2,3,4\} ; b =\{-2,-1,0,1,2,3,4\}\) \(c=\{-2,-1,0,1,2\} ; d=\{-2,-1,0\}\) \(e=\{-2\}\) ∴ No. of elements in R \(=7+7+5+3+1=23=\ell\) Minimum number of element to be added to make it reflexive…
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