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If the co-ordinates of one end of a foca...

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.

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To find the coordinates of the other end of a focal chord of the parabola \( y^2 = 4ax \), given one end at \( (at^2, 2at) \), we can follow these steps: ### Step 1: Understand the properties of the parabola The given parabola is \( y^2 = 4ax \). The focus of this parabola is at the point \( (a, 0) \). ### Step 2: Identify the coordinates of the given point We are given one end of the focal chord as \( (at^2, 2at) \). Let's denote this point as \( A(at^2, 2at) \). ...
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