17. Make an equation and construct a line each point of which is equally distant from point A 0;2 and from the line y – 4= 0?



The author posted a question in Homework

17. Make an equation and construct a line each point of which is equally distant from point A 0;2 and from the line y - 4= 0? and got a better answer

Response from Дима[+++]
At first I thought I'd written the assignment wrong, but then I realized it doesn't have to be a straight line. So it turns out to be a parabola. That is, I was not very fond of them or rather the theory of them Therefore solved by the Yedov method: the square of the distance from any point to point A is equal to x^2 + y-2 ^2, and the distance to the line Y = 4 is y-4 It turns x^2 + 4y-12=0 or y = 3 - 0.25x^2 Intuitively the right answer, at least when substituting the control points all converge?

Response from 0[+++++]
At first I thought I had the wrong assignment, but then I realized that it's not necessarily a straight line. So it's a parabola. That's it I was not very fond of them more precisely the theory of them Therefore I decided by the Yedov method: the square of the distance from any point to point A is equal to x^2 + y-2 ^2 and the distance to the line Y = 4 is y-4 That is the result x^2 + 4y-12=0 or y = 3 - 0.25 x^2 Intuitively the answer is correct in any case, when substituting the control points all converge!

Response from 0[+]
I'm sick of your equations! Believe me, in 4 years your life will be much more complicated!

Response from 0[++]
O_o

 

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