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MHT CET202120 Sep 2021Evening ShiftMathematicsSets and RelationsActual

Let A =[ a , b , c , d ], B =[1,2,3] . Relation R ₁, R ₂, R ₄ are as follows: aligned & R ₁=[( a , 1),( b , 2),( c , 1),( d , 2)] & R ₂=[( a , 1),( b , 1),( c , 1),( d , 1)] & R ₃=[( a , 2),( b , 3),( c , 2),( d , 2)] & R ₄=[( a , 1),( b , 2),( a , 2),( d , 3)], then aligned

Options

  1. Aonly R ₃ and R ₄ are not functions
  2. Bonly R₁ and R₂ are not functions
  3. Conly R ₃ is not a function
  4. Donly R ₄ is not a function

Correct answer

D. only R ₄ is not a function

Step-by-step solution

We find that in R₄, f(a)=1 and f(a)=2 . Hence R₄ is not a function.

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