Find the locus of midpoint of family of chords `lamdax+y=5(lamda` is parameter) of the parabola `x^(2)=20y`

Explanation

To find the locus of the midpoint of the family of chords given by the equation \( \lambda x + y = 5 \) of the parabola \( x^2 = 20y \), we will follow these steps:

### Step 1: Rewrite the equation of the chord
The equation of the family of chords can be rewritten as:
\[ \lambda x + y - 5 = 0 \]
This can be considered as a line \( L_1 \) where \( L_1 = \lambda x + y - 5 \) and \( L_2 = 0 \).
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