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
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.
Similar Questions
There are 12 points in a plane of which 5 are collinear. The number of triangles is
The number of triangles formed by 4 points, when no three points are collinear is:
If points ( , )A 3 12- , ( , )B 7 6 and ( , )C x 9 are collinear, then the value of x is ......
12. Intersecting Lines, Perpendicular Lines, Right Angle, Parallel LinesGroup of answer choicesParallel LinesPerpendicular LinesIntersecting LinesRight Angle
Find the value of k, if the points (10, 14), (–3, 3) and (k, –8) are collinear ?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.