JEE Main Mathematics question

MathematicsPermutations and CombinationsJEE Main

Six points in a plane be joined in all possible ways by indefinite straight lines and if no two of them be coincident or parallel, and no three pass through the same point (with the exception of the original points). The number of distinct points or intersection is equal to

Answer: (C)

Solution

The points give lines, and any two of the lines meet in one point, so there are pairs of lines. Through each original point pass lines, so pairs meet there: the original

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Question ID VK-020699