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JEE Main20253 Apr 2025Evening ShiftMathematicsSets and RelationsActual

Let A= -2,-1,0,1,2,3 . let R be a relation on A defined by x R y if and only if y= x, 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. A12
  2. B11
  3. C13
  4. D14

Correct answer

A. 12

Step-by-step solution

aligned & A = -2,-1,0,1,2,3 & R = (-2,1),(-1,1),(0,1),(1,1),(2,2),(3,3) & =6 & ~m =3 & n =3 & + m + n =12 aligned

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