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MHT CET202020 Oct 2020Morning ShiftMathematicsFunctionsActual

The domain and range of the relation R given by R = (x, y) / y=x+ 6 x , x, y N . and .x < 6 are

Options

  1. ADomain = 2,3 , Range = 5 .
  2. BDomain = 1,2 , Range = 5,7 .
  3. CDomain = 1,2,3,4,5 , Range = 7,5, 6 4 , 6 5 .
  4. DDomain = 1,2,3 , Range = 5,7 .

Correct answer

D. Domain = 1,2,3 , Range = 5,7 .

Step-by-step solution

y=x+ 6 x , x, y N and x < 6 When x=1, y=1+6=7 When x=2, y=2+3=5 When x=3, y=3+2=5 When x=4, y=4+1.5=5.5 When x=5, y=5+1.2=6.2 Since x, y N and x < 6 , we write Domain = 1,2,3,4,5 and Range = 7,5

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