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How many straight lines can form from 4 collinear points?
There is one more way in which we can calculate the number of lines. Let’s divide the points in two groups: the collinear group of 4 points, and the non-collinear group of 6 points. To count the number of lines, we have three possible cases. First, the lines formed using the points of the collinear group – only 1 line.
How many straight lines can form from 10 points?
Detailed Solution ( n − 2 ) ! Given: n = 10. Hence, the number of straight lines that can be formed is 45.
How many triangles can be formed by using 10 points out of which 4 are collinear?
2) Four points are collinear. Given that four points are collinear, which means four points are in the straight line, whereas a triangle needs three points to form a triangle. Out of 10 points, 4 points cannot form a triangle. So, the number of triangles formed when four points are collinear are in 10C3−4C3ways.
How many lines can be drawn through 9 points in which 4 of them are collinear?
R D Sharma – Mathematics 9 Only 1 line can be drawn through 4 collinear points.
How many lines can be drawn from 10 given points no three of which are collinear?
Therefore, actual number of lines is 902=45.
How many collinear points are there in a plane?
There are 10 points in a plane of which 4 are collinear. How many different straight lines can be drawn by joining these points. >> There are 10 points in a pl… There are 10 points in a plane of which 4 are collinear. How many different straight lines can be drawn by joining these points.
How many lines are formed when 4 points are joined together?
2 points when joined in a plane will make 1 line. If the total number of point is 10, the total number of line = 10C2 But 4 points are collinear, so the lines make with these 4 points are same. Hence there is 1 common line joining the 4 collinear point.
How many points are needed to make a straight line?
25. There are 10 points in a plane, so straight lines can be formed using two at a time. \\ Total straight lines = 10C2 = 10 9 2 1 × × = 45 1 But 4 points are collinear. \\ Lines using these points = 4 C2 = 4 3 2 1 × × = 6 1 But these 4 points can make a single line.
How many lines can be drawn from 10c2 of points?
In this Q., there are 10 points, of which max. of 10C2, or 45 lines can be drawn. However, since 4 of these points are collinear, we have to subtract, the total no. of lines formed by these points, if they were not collinear, as that case is also included in the max. 45 lines formed. So subtracting 4C2 from 10C2 gives you =45-6=39 lines.