Question

Which of the following options is true for the given statements
S1 : $\sqrt{2}$x = 3$\sqrt{y}$ is a linear equation in two variables

S2 : $\sqrt{2}$ x + 3y = $\sqrt{5}$ is a linear equation in two variables

• A. S1 is true but S2 is false
• B. S1 is false but S2 is true
• C. Both S1 and S2 are false
• D. Both S1 and S2 are true

Answer 1

The correct option is B

S1 is false but S2 is true

$\sqrt{2}$x = 3$\sqrt{y}$ is not a linear equation as the power of y is $\frac{1}{2}$. The power of variable should be 1 to satisfy the condition of a linear equation. Therefore, S1 is false.

$\sqrt{2}$ x + 3y = $\sqrt{5}$ is a linear equation as the degree of x and y is 1.
Also, it can be written as $\sqrt{2}$ x + 3y - $\sqrt{5}=0$, which is of the form $ax+by+c=0$ where a, b, c are real numbers and represents a linear equation in two variables.
Therefore, S2 is true.