The equation that represents direct variation is 11x - 22y = 0. Option c is the right choice.
Direct variation is a relationship between two variables where one variable changes directly in proportion to the other variable. This means that as one variable increases, the other variable also increases, and vice versa. The constant of proportionality is the number that represents the ratio of change between the two variables.
In the equation 11x - 22y = 0, the constant of proportionality is 1/2. This means that for every one unit increase in x, there is a two unit increase in y.
The other equations do not represent direct variation.
Equation A, xy = 9, is a nonlinear equation. This means that the relationship between x and y is not proportional.
Equation B, y = --12 / X, is an inverse variation equation. This means that as x increases, y decreases, and vice versa.
Equation D, 2X + 1/3y = 0, is a linear equation, but it does not represent direct variation. The constant of proportionality is not 1, so the relationship between x and y is not proportional.
Therefore, the only equation that represents direct variation is C. 11x - 22y = 0.
Question:-
Which of the following equation represents direct variation?
A xy = 9
B y = --12 / X
C 11x - 22y = 0
D 2X + 1/3y = 0