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JEE Main20254 Apr 2025Evening ShiftMathematicsSets and RelationsActual

Let A = -3,-2,-1,0,1,2,3 and R be a relation on A defined by x R y if and only if 2 x-y 0,1 . 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 :-

Options

  1. A18
  2. B17
  3. C15
  4. D16

Correct answer

B. 17

Step-by-step solution

aligned & array l 2 x - y =0 0,0 -1,-2 1,2 2 x - y =1 array & 0,-1 1,1 2,3 -1,-3 & Total (0,0)(-1,-2),(1,2)(0,-1),(1,1)(2,3)(-1,-3) & Reflexive m =5 & =7 & Symm. n =5 + m + n =17 & option (2) aligned

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