Each of the four inequalities given below defines a region in the xy plane. One of these four regions does nothave the following property. For any two points (x₁,y₂)and(y₁​,y₂​) in the region the piont (x₁+x₂/2​​⋅2y₁​,y₂​​/2) is also in the region. The inequality defining this region is
a. x²+2y²≤1
b. max{|x|},{|Y|}≤1
c. x²-2y²≤1
d. y²-x≤1