If `y=2x+3` is a tangent to the parabola `y^2=24 x ,` then is distance from the parallel normal is `5sqrt(5)` (b) `10sqrt(5)` (c) `15sqrt(5)` (d) None of these

Explanation

To solve the problem, we need to find the distance between a tangent line and a normal line to the parabola given by the equation \( y^2 = 24x \).

### Step-by-Step Solution:

1. **Identify the Tangent Line:**
The given tangent line is \( y = 2x + 3 \). The slope \( m \) of this line is 2.

2. **Equation of the Parabola:**
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