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Q. A set P = { point of intersection of two lines } is a C C C C A Singleton set Infinite set C C C C C C B Empty set D None of these

Question

Q. A set P = { point of intersection of two lines } is a C C C C A Singleton set Infinite set C C C C C C B Empty set D None of these

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Solution

The answer is A. Singleton set.

Here's why:

Two lines in a plane intersect at a single point or they do not intersect at all. If they intersect, the set of intersection points contains exactly one element, hence it is a singleton set. If they do not intersect, the set of intersection points is empty. However, in this question, it is stated that set P is the set of intersection points of two lines, implying that the two lines do intersect. Therefore, set P is a singleton set.

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