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The number of straight lines that can be drawn out of 12 points of which 8 are collinear isChoices:- 39 49 59 29

Question

The number of straight lines that can be drawn out of 12 points of which 8 are collinear is

Choices:-

  • 39
  • 49
  • 59
  • 29
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Solution

The number of straight lines that can be drawn from n distinct points is given by the formula n(n-1)/2.

However, in this case, we have 8 points that are collinear (i.e., they lie on the same line), and 4 points that are not.

For the 8 collinear points, we can only draw one line, because any two points on this line will just form the same line.

For the remaining 4 points, we can draw 4(4-1)/2 = 6 lines.

So, the total number of lines we can draw is 1 (from the 8 collinear points) + 6 (from the 4 non-collinear points) = 7.

Therefore, none of the given choices are correct.

This problem has been solved

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