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Consider the set of all lines px + qy + r = 0 such that 3p + 2q + 4r = 0. Which one of the following statements is true ?

1. The lines are not concurrent
2. The lines are concurrent at the point ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 2 1 , 4 3
3. The lines are all parallel
4. Each line passes through the origin

Correct answer: The lines are concurrent at the point ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 2 1 , 4 3

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