​Given below are plots of the linear derivation of Michaelis-Menten kinetic equation and statements related to the variables: initial velocity (V₀) and substrate concentration [S].​

A. In plot (i), both x and y axes have dependent variables.
B. In plot (ii), neither x nor y axis has independent variables.
C. In plot (i), only y-axis has a dependent variable.
D. In both the plots, x-axis has an independent variable.

Select the options that has all the correct statements?

Correct option is C

Option Analysis:

1. A. In plot (i), both x and y axes have dependent variables.

   • Incorrect. In plot (i), the x-axis is $$\frac{1}{[S]}$$ which is the independent variable, while the y-axis is $$\frac{1}{V_o}$$which is dependent.

     1[S]\frac{1}{[S]}

2. B. In plot (ii), neither x nor y axis has independent variables.
   
         Correct. In plot (ii), the x-axis is 1/[S] which is the independent variable, and the y-axis is V_​0  which is the dependent variable. Therefore, the x-axis in plot (ii) has the independent variable, making this option incorrect as per the question’s framing.
3. C. In plot (i), only the y-axis has a dependent variable.
          Correct. In plot (i), 1/V₀ ​(on the y-axis) is the dependent variable, while 1/[S] (on the x-axis) is the independent variable.
4. D. In both the plots, the x-axis has an independent variable.
          Incorrect. The x-axis in both plots represents 1/[S] which is the independent variable. This statement does not hold the complete framework for both axis interaction.

Correct Answer:

• B and C are the correct statements.