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The pair of numbers (x; y), which is NOT a solution of the equation x2 - 2x + y2 = 1, is

User Coleman
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Answer:

the pair of numbers (x; y), which is NOT a solution of the equation
x^(2) -2x+y^(2) =1 is that point whose distance from the point (1,0) is greater or less than
√(2).

Explanation:

Given: The equation is
x^(2) -2x+y^(2) =1.

To find: The pair of numbers (x; y), which is NOT a solution of the equation
x^(2) -2x+y^(2) =1.

We have
x^(2) -2x+y^(2) =1.


x^(2) -2x+1+y^(2) =1+1


(x-1)^2+y^2=2


(x-1)^2+(y-0)^2=√(2)

This is an equation of circle with centre at (1,0) and radius
√(2).

So, only those pair of numbers will satisfy the equation whose distance from the point (1,0) is
√(2).

Hence, the pair of numbers (x; y), which is NOT a solution of the equation
x^(2) -2x+y^(2) =1 is that point whose distance from the point (1,0) is greater or less than
√(2).

User SiN
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