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In the \(xy\)-coordinate plane, line \(L\) passes through the points \((b, a)\) and \((c, 0),\) and line \(M\) passes through the point \((a, b)\) and the origin, where \(a, b,\) and \(c\) are different nonzero numbers. Do lines \(L\) and \(M\) intersect?
(1) \(a=\left(\frac{\sqrt5-1}2\right)^b\)
(2) \(c < 0\)
Answer: A
Source: Manhattan GMAT
(1) \(a=\left(\frac{\sqrt5-1}2\right)^b\)
(2) \(c < 0\)
Answer: A
Source: Manhattan GMAT
