Table of Contents
- 1 Are 15 points in a plane out of which 6 are collinear find the number of lines that can be formed from 15 points?
- 2 How many triangles can be formed by joining 15 points on the plane?
- 3 How many triangles can be formed by joining 12 points 10 of which are collinear?
- 4 How many lines are determined by 15 points no 3 of which are collinear?
- 5 How many triangles can be formed from 10 collinear points?
- 6 How many lines are there in 15c2 = 105 lines?
Are 15 points in a plane out of which 6 are collinear find the number of lines that can be formed from 15 points?
(a) Straight line can be formed by joining 2 points, so number of ways in which we select 2 points from 15 points is = 15C2
How many triangles can be formed by joining 15 points on the plane?
Out of 15 points in plane, n points are in the same straight line, 445 triangles can be formed by joining these points.
How do you find the number of points collinear?
Three points are collinear if the value of the area of the triangle formed by the three points is zero. Substitute the coordinates of the given three points in the area of triangle formula. If the result for the area of the triangle is zero, then the given points are said to be collinear.
How many triangles can be formed from 12 points out of which 7 of them are always collinear?
Answer: (1) 185 Solution: Given 12 set of points. Therefore, selection of three points out of 7 collinear points = 7C3, which we need to deduct from the non-collinear points.
How many triangles can be formed by joining 12 points 10 of which are collinear?
Answer: (1) 185 Solution: Given 12 set of points.
How many lines are determined by 15 points no 3 of which are collinear?
Transcribed image text: How many lines are determined by 15 points, no 3 of which are collinear? The number of lines is 17 Suppose 10 fair coins are tossed.
How many straight lines can be formed by joining 12 points on a plane?
12C2 ways. ∴ The number of different straight lines that can be formed by joining the given 12 points. . 12C212×111×2=66.
How many points in a plane of which 5 are collinear?
There are 12 points in a plane of which 5 are collinear. Find (i) the number of straight lines obtained by joining these points in pairs (ii) the number of triangles that can be formed with vertices at these points. There are 12 points in a plane of which 5 are collinear.
How many triangles can be formed from 10 collinear points?
But note that there are collinear points and if we choose 3 points out of those 10 collinear points, the figure would still be a straight line, not a triangle. So we need to subtract it out. Number of straight lines formed = C (10,3) = 120 lines. Required number of triangles = 455-120 =335 triangles.
How many lines are there in 15c2 = 105 lines?
There are 15 points in the plane. If the 15 points were on the plane in such a way that no 3 of them were collinear, we would have got 15C2 = 105 lines. However 6 of them are collinear.
How many points are there in a plane?
There are 10 points in a plane, no three of which are in the same straight line excepting 4 , which are collinear. Then number of There are 10 points in a plane, no three of which are in the same straight line excepting 4, which are collinear. Then number of