Find the direction in which a straight line must be drawn through the point `(1,2)` so that its point of intersection with the line `x+y" = "4` may be at a distance of 3 units from this point.

Explanation

To solve the problem, we need to find the direction in which a straight line must be drawn through the point (1, 2) such that its intersection with the line \(x + y = 4\) is at a distance of 3 units from the point (1, 2).

### Step-by-Step Solution:

1. **Identify the intersection point**: Let the point of intersection be \((x_1, y_1)\). Since this point lies on the line \(x + y = 4\), we have:
\[ x_1 + y_1 = 4 \]
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