If R = x ,   y : x ,   y ∈ Z ,   x 2 + 3 y 2 ≤ 8 is a relation on the set of…

If R=x, y:x, y∈Z, x2+3y2≤8 is a relation on the set of integers Z, then the domain of R-1 is
  1. -2, -1, 1, 2
  2. 0, 1
  3. -2, -1, 0, 1, 2
  4. −1, 0, 1

Solution

Given x28+y283≤1; x, y∈Z

Domain of R-1= Range of R is possible integral y-coordinates

=-1,0,1

Asked in: JEE Main 2020 (02 Sep Shift 1)

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