L is a variable line such that the algebraic sum of the distances of the points (1,1) (2,0) and (0,2) from the line is equal to zero. The line L will always pass through a. (1,1)          b. (2,1)           c. (1,2)            d. none of these

Explanation

To solve the problem, we need to find the variable line \( L \) such that the algebraic sum of the distances from the points \( (1,1) \), \( (2,0) \), and \( (0,2) \) to the line is equal to zero.

### Step-by-Step Solution:

1. **Equation of the Line**:
We can represent the variable line \( L \) in the slope-intercept form as:
\[
y = mx + c
...