If R is a relation on N as `R= {(1+ x, 1+x^2): x <= 5, X in N}` which of the following is FALSE ?

Options

A. `R={(2,2),(3,5),(4,10),(5,17),(6,25)}`
B. Domain of `R={2,3,4,5,6}`
C. Rangre of `R ={2,5,10,17,26}`
D. None of these

Answer

A

Explanation

`R ={(1+1,1+1),(1+2,1+4),(1+3,1+9),`
`(1+4,1+16),(1+5,1+25)}`
`={(2.2),(3,5)},(4,10),(5,17),(6,26)`
Domain of `R={x:(x,y) ne R} = {2,3,4,5,6}`
Range of `R={y: (x,y) ne R} ={ 2,5,10,17, 26}`
`:.` the correct answer is (1)