A variable plane passes through a fixed point `(a,b,c)` and meets the axes at `A ,B ,a n dCdot` The locus of the point commom to the planes through `A ,Ba n dC` parallel to the coordinate planes is

Explanation

To solve the problem of finding the locus of a point common to the planes through points A, B, and C that are parallel to the coordinate planes, we can follow these steps:

### Step 1: Define the variable plane
Let the equation of the variable plane that passes through the fixed point \((a, b, c)\) be given by:
\[ \frac{x}{\alpha} + \frac{y}{\beta} + \frac{z}{\gamma} = 1 \]
where \(\alpha\), \(\beta\), and \(\gamma\) are the intercepts on the x, y, and z axes, respectively.
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