Question

Check which of the following is/are solution of the equation $x-2y=4$:

• A. $\left(0,2\right)$
• B. $\left(2,0\right)$
• C. $\left(4,0\right)$
• D. $\left(\sqrt{2},4\sqrt{2}\right)$

Answer 1

The correct option is C $\left(4,0\right)$

The points which satisfies an equation are the solution of the equation.

$x-2y=4$

Putting$(0,2)$ in the equation, $0-2\times 2=4\Rightarrow -4=4$ which is not true.

Putting $(2,0)$ in the equation, $2-2\times 0=4\Rightarrow 2=4$ which is not true.

Putting $(4,0)$ in the equation, $4-2\times 0=4\Rightarrow 4=4$ which is true.

Putting $(\sqrt{2},4\sqrt{2})$ in the equation, $\sqrt{2}-2\times 4\sqrt{2}=4\Rightarrow -7\sqrt{2}=4$ which is not true.

Putting $(1,1)$ in the equation, $1-2\times 1=4\Rightarrow -1=4$ which is not true.

Thus, the solution of equation is $(4,0).$