For the equation a² + b² − c² − 2ab = 0, the common intersection point of the set of lines represented by ax + by + c = 0 is located on which line?

y = x
y = x + 1
y = −x
y + x = 1

Correct answer: y = −x

Solution

The given equation can be rearranged to represent a set of lines, and by finding the common intersection point, it is evident that this point lies on the line y = −x, which signifies a specific relationship between the coefficients of the equation.

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