To understand why the fixed point is (1, -2), let's break down the given equation x/a + y/b + 1/c = 0 and analyze it step by step.

1. Identifying the equation:
The given equation represents a straight line in the form of a linear equation. The coefficients of x, y, and the constant term form a ratio, indicating that the variables a, b, and c are in Harmonic Progression (H.P.).

2. Finding the slope-intercept form:
To analyze the equation further, let's rearrange it in the slope-intercept form y = mx + c, where m is the slope and c is the y-intercept.

x/a + y/b + 1/c = 0
y/b = -x/a - 1/c
y = -(bx/a) - (b/c)

Comparing this equation with the slope-intercept form, we can see that the slope (m) is -(b/a), and the y-intercept (c) is -(b/c).

3. Analyzing the slope and y-intercept:
Since the slope is -(b/a), it is independent of the variables x, y, and c. Hence, the slope remains constant for all values of x and y. This implies that the line is always inclined at the same angle.

Now, let's consider the y-intercept. The y-intercept is -(b/c), which means that when x = 0, y = -(b/c). In other words, the line intersects the y-axis at the point (0, -(b/c)).

4. Finding the fixed point:
To find the fixed point, we need to determine the point where the line intersects the x-axis. When y = 0, the equation becomes:

0 = -(bx/a) - (b/c)
bx/a = -(b/c)
x/a = -1/c
x = -a/c

Therefore, the line intersects the x-axis at the point (-a/c, 0), which is equivalent to (1, 0) when a = 1.

Since the fixed point is the intersection of the line with both the x-axis and the y-axis, the coordinates of the fixed point are (1, -2), as the y-intercept is -(b/c) = -(-2) = 2.

Hence, the correct answer is option 'C' (1, -2).