Two lines are given by = 1 + 1 and = 2 + 2, where 1, 2, 1,

Chapter , Problem 1.5.25

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Two lines are given by = 1 + 1 and = 2 + 2, where 1, 2, 1, and 2 are constants. (a) What conditions are imposed on 1, 2, 1, and 2 if the two lines have no points in common? (b) What conditions are imposed on 1, 2, 1, and 2 if the two lines have all points in common? (c) What conditions are imposed on 1, 2, 1, and 2 if the two lines have exactly one point in common? (d) What conditions are imposed on 1, 2, 1, and 2 if the two lines have exactly two points in common?

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