Check which of the following are solutions of the equations `x-2y=4` and which are not :
(i) `(0,2)` (ii) `(2,0)` (iii) `(4,0)` (iv) `(sqrt(2),4sqrt(2))` (v) `(1,\ 1)`

Explanation

The given equation may be written as `x- 2y - 4 =0." "`…(A)
(i) Putting `x=2` and `y=0` in (A), we get
`LHS=(2-2 xx 0-4) =(2-0-4) = -2 !=0= RHS.`
`:. (2,0) " is not a solution of " x- 2y =4.`
(ii) Putting `x=0 and y=-2` in (A), we get
`LHS = { 0- 2 xx (-2) -4 } = {0+ 4-4} =0= RHS.`
`:. (0,2) " is a solution of " x-2y=4.`
(iii) Putting `x=4sqrt(2) and y= sqrt(2)` in (A), we get
`LHS = ( 4 sqrt(2) - 2 xx sqrt(2) - 4)=(4 sqrt(2) -2 sqrt(2)-4)`
`=(2sqrt(2) - 4) != 0 = RHS.`
`:. ( 4 sqrt(2), sqrt(2) )" is not a solution of "x- 2y = 4`.
(iv) Putting `x=4 and y=0` in (A), we get
`LHS = (4-2 xx 0-4) = (4-0-4) = 0=RHS.`
`:. (4,0)" is a solution of " x-2y=4.`