Table of Contents
- 1 What is the maximum number of intersections possible of N straight lines?
- 2 What is the maximum number of points that a straight line can intersect a circle?
- 3 What is the maximum number of points of intersection of 100 distinct straight lines?
- 4 What are the maximum number of points of intersection when three lines intersect?
- 5 What is the maximum and minimum number of points of intersection of four lines in a plane?
- 6 What is the maximum number of points in which three non parallel lines can cross each other?
- 7 Can two lines intersect each other in one point?
- 8 What if a fourth circle intersects the previous three circles?
What is the maximum number of intersections possible of N straight lines?
n=2: As one line can’t intersect with itself, it can only intersect with the old lines. As there is only one line, you can get at most one intersection. So the maximum number of intersections of two lines is 1.
What is the maximum number of points that a straight line can intersect a circle?
Line and Circle Intersections : a line and and circle can intersect each other at most 2 points.
What is the greatest number of intersection points can you get using four straight lines?
6 points
4. The maximum number of points of intersection when 4 lines are drawn in a plane, as shown, is 6 points.
What is the maximum number of points of intersection of three lines in a plane What is the minimum number?
Minimum number of point of intersection of three lines on a plene is zero when all the three lines are parallel to each other. Maximum number of point of intersection of three lines on a plene is three.
What is the maximum number of points of intersection of 100 distinct straight lines?
101!/(99!* 2!) = 101*100/1*2 = 101*50 =5050.
What are the maximum number of points of intersection when three lines intersect?
What is the maximum number of points that 2 circles and 3 straight lines can intersect?
For example if there are 2 circles and 3 lines then the maximum number of intersections is 17.
What is the greatest possible number of points of intersection for eight distinct lines in a plane?
104
The greatest possible number of points of intersection of 8 straight lines and 4 circles is 104 .
What is the maximum and minimum number of points of intersection of four lines in a plane?
The maximum number of points of intersection of four lines in a plane is six. The minimum number of points of intersection of four lines in a plane is zero.
What is the maximum number of points in which three non parallel lines can cross each other?
(xv) The maximum number of points of intersection of three lines is three.
What is the maximum number of point of intersection of 5 non overlapping circles?
hence on solving we get 20 as our correct answer.
How many intersection points can a pair of circles have?
A pair of circles can have maximum 2 intersection points. What is the maximum number of points at which 4 circles and 4 straight lines can intersect? Since you had not put any constraint, the maximum number of intersections would be infinite when 2 or more than 2 lines or circles coincide with each other.
Can two lines intersect each other in one point?
Any two straight lines can intersect each other in one point. Now, if we draw a 3rd line, that can intersect the other two lines in at most 2 points as shown below. Similarly, if we draw a 4th line, that can intersect the other 3 lines in at most 3 points and so on.
What if a fourth circle intersects the previous three circles?
If a fourth circle were to intersect the previous three circles, it would add 2 points of intersection to each of the 3 circles. That means we should end up with 6 + 6 = 12. Here again, all previous points will be colored, (or if you practice the Queen’s English, “coloured”) blue and the new intersections will again be red.