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# Analytic Geometry

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1. Name a point that is √2 away from (-1,5).
2. (Original post by gervysjedm)
Name a point that is √2 away from (-1,5).
Can you think of a point that is away from (0,0) ? Now translate...
3. When you convert √2 in decimal form the value would be 1.4 or just 1 so it will just move by unit then. But I'm asking for a detailed solution with this problem because I don't understand why the answers are (0,6), (0,4), (-2,6), (-2,4).
4. (Original post by gervysjedm)
When you convert √2 in decimal form the value would be 1.4 or just 1 so it will just move by unit then. But I'm asking for a detailed solution with this problem because I don't understand why the answers are (0,6), (0,4), (-2,6), (-2,4).
No need to convert to decimal. Think about the length of a line from (0,0) to (1,1) - remember Pythagoras.
5. Can you give me the full solution of the problem? So that I can understand it better. Thank you so much
6. (Original post by gervysjedm)
Can you give me the full solution of the problem? So that I can understand it better. Thank you so much
I just have!

is the distance between the point (0, 0) and the point(1,1).
7. Ohh so I just need to plot it? No need for any solving?

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