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JEE Main20202 Sep 2020Morning ShiftMathematicsSets and RelationsActual

If R = x , y : x , y ∈ Z , x 2 + 3 y 2 ≤ 8 is a relation on the set of integers Z , then the domain of R - 1 is

Options

  1. A- 2 ,   - 1 ,   1 ,   2
  2. B0 ,   1
  3. C- 2 ,   - 1 ,   0 ,   1 ,   2
  4. D− 1 ,   0 ,   1

Correct answer

D. − 1 ,   0 ,   1

Step-by-step solution

Given x 2 8 + y 2 8 3 ≤ 1 ;   x ,   y ∈ Z Domain of R - 1 = Range of R is possible integral y - coordinates = - 1 , 0 , 1

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