If the co-ordinates of one end of a focal chord of a parabola `y^(2)`=4ax are `(at^(2),2at)`, find the co-ordinates of its other end.

Explanation

To find the coordinates of the other end of the focal chord of the parabola given by the equation \( y^2 = 4ax \), where one end of the focal chord is given as \( (at^2, 2at) \), we can follow these steps:

### Step 1: Understand the properties of the focal chord
A focal chord of a parabola is a line segment that passes through the focus of the parabola and has its endpoints on the parabola. For the parabola \( y^2 = 4ax \), the focus is at the point \( (a, 0) \).

### Step 2: Identify the coordinates of the given point
The coordinates of one end of the focal chord are given as \( (at^2, 2at) \).

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