Find the length of normal chord which subtends an angle of `90^0` at the vertex of the parabola `y^2=4xdot`

Explanation

To find the length of the normal chord that subtends an angle of \(90^\circ\) at the vertex of the parabola \(y^2 = 4x\), we can follow these steps:

### Step 1: Identify the parabola and its parameters
The given parabola is \(y^2 = 4x\). This parabola opens to the right and has its vertex at the origin \((0, 0)\). The standard form of the parabola is \(y^2 = 4ax\), where \(a = 1\) in this case.

### Step 2: Parametric equations of the parabola
The parametric equations for the points on the parabola are given by:
\[
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