(iv) ax + by + a = 0, bx + ay + b = 0
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ax + by + a = 0 (multiply with b)
abx + b^2 y + ab = 0
bx + ay + b = 0 (multiply with a)
abx + a^2 y + ab
subtract both
y (a^2 - b^2) = 0
so a = b
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