SOLUTION: The coordinates of the point have equal absolute value, the point is in the second quadrant, and the distance of the point from the origin is 2

Question 268997: The coordinates of the point have equal absolute value, the point is in the second quadrant, and the distance of the point from the origin is 2
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
This is Pythagorean theorem in disguise. We use

we know that c = 2 and that a = b because the absolute values are equal. Since we are in quadrant II one of the signs will be positive and the other will be negative. We get

divide by 2 to get

take a square root to get

Our coordinate is
(-sqrt(2), +sqrt(2))
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