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Mathematics: Post your doubts here!

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i tried a lot to solve your question but i failed. so i asked math experts over here: http://math.stackexchange.com/quest...least-value-of-their-difference-needs-to-be-f
keep an eyes on that maybe somebody will help us out.

Here I attach my explanation (thanks to hamza.k143 who explained it to me):

My only remaining doubt is why or how do we know the line AB intersects at y= -1 (-i), because after that the rest is reasonably easy, its just that assumption I don´t get. So if anyone knows please let me know.
 

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