Step-by-step Solution:

The correct option is A (1, -2).

Given that \( a, b, c \) are in Harmonic Progression (H.P).
Therefore, \( \frac{1}{a}, \frac{1}{b}, \frac{1}{c} \) are in Arithmetic Progression (A.P).
The condition for A.P is:
\[ 2 \cdot \frac{1}{b} = \frac{1}{a} + \frac{1}{c} \]
Rearranging the terms to match the form of a linear equation:
\[ \frac{1}{a} - \frac{2}{b} + \frac{1}{c} = 0 \quad \text{...(i)} \]
The given equation of the line is:
\[ \frac{x}{a} + \frac{y}{b} + \frac{1}{c} = 0 \quad \text{...(ii)} \]
Comparing equation (i) and (ii), we observe that the variable coefficients match if:
\[ x = 1 \quad \text{and} \quad y = -2 \]
Thus, the line always passes through the fixed point \( (1, -2) \).