Consider the following statements :
`1.` If `A={(x,y) in [RxxR : x^(3)+y^(3)=1]}` and `B={(x,y) in [R: (x-y)=1]}`, then `AnnB` contains exactly one elements.
`2.` If `A={(x,y) in [RxxR : x^(3)+y^(3)=1]}` and `B={(x,y) in [R: (x+y)=1]}`, then `AnnB` contains exactly two elements.
which of the above statements is/are correct ?

Options

A. `1` only
B. `2` only
C. Both `1` and `2`
D. Neither `1` nor `2`

Answer

C