Find the locus of image of the veriable point `(lambda^(2), 2 lambda)` in the line mirror x-y+1=0, where `lambda` is a peremeter.

Explanation

To find the locus of the image of the variable point \((\lambda^2, 2\lambda)\) in the line mirror \(x - y + 1 = 0\), we will follow these steps:

### Step 1: Identify the point and the line
Let the variable point \(P\) be given by the coordinates \(P(\lambda^2, 2\lambda)\). The line mirror is given by the equation \(x - y + 1 = 0\).

### Step 2: Find the coefficients of the line
The line can be rewritten in the standard form \(Ax + By + C = 0\), where:
- \(A = 1\)
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