JEE Main2018MathematicsEllipseActual
Two sets A and B are as under: A = a , b ∈ R × R : a - 5 < 1 and b - 5 < 1 ; B = a , b ∈ R × R : 4 a - 6 2 + 9 b - 5 2 ≤ 36 . Then :
Options
- Aneither A ⊂ B nor B ⊂ A
- BB ⊂ A
- CA ⊂ B
- DA ∩ B = ϕ (an empty set)
Correct answer
C. A ⊂ B
Step-by-step solution
Given sets, A = a ,   b ∈ R × R   : a - 5 < 1   and   b - 5 < 1   A = a ,   b ∈ R × R   : - 1 < a - 5 < 1   and   - 1 < b - 5 < 1   A = a ,   b ∈ R × R   : 4 < a < 6   and   4 < b < 6   B = a - 6 2   9 + b - 5 2 4 ≤ 1 For set A ,   For corner coordinates of the set A   is 4 , 4 , 4 , 6 , 6 , 4 , 6 , 3 .   For set B ,   Now, Put 4 , 4