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

"Given : Linear equation is `x-2y=4`
We can substitute the values in the given equation and can check whether LHS is equal to RHS or not.
If LHS = RHS then it is a solution for the given equation.
(i) (0,2)
Here x=0 and y=2
Put the value in the given equation.
`0-2times2=4`
`0-4=4`
`-4ne4`
`therefore` (0,2) is not a solution of `x-2y=4`

(ii) (2,0)

Here x=2 and y=0
Put the value in the given equation.
`2-2times0=4`
`2=4`
`2ne4`
`therefore` (2,0) is not a solution of `x-2y=4`

(iii) (4,0)
Here x=4 and y=0
Put the value in the given equation.
`42times0=4`
`4=4`
`therefore` (4,0) is a solution of `x-2y=4`

(iv) `(sqrt 2,4sqrt2)`
Here` x=sqrt 2 and y=4sqrt2`
Put the value in the given equation.
`sqrt 2-2times4sqrt2`=`4`
`sqrt2-8sqrt2`=`4`
`-7sqrt2ne4`
`therefore`(`sqrt 2,4sqrt2`) is not a solution of `x-2y=4`

(v) (1,1)
Here x=1 and y=1
Put the value in the given equation.
`1-2times1=4`
`1-2=4`
`-1ne4`
`therefore` (1,1) is not a solution of `x-2y=4` "