Find the equation of the circle passing through the origin and the points where the line `3x+4y=12` meets the axes of coordinates.

Explanation

To find the equation of the circle passing through the origin and the points where the line \(3x + 4y = 12\) meets the coordinate axes, we can follow these steps:

### Step 1: Find the points where the line meets the axes.
To find the x-intercept, set \(y = 0\):
\[ 3x + 4(0) = 12 \implies 3x = 12 \implies x = 4 \]
Thus, the x-intercept is \((4, 0)\).
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