What is the maximum number of intersections between 4 lines and a circle?

32 points
4 lines intersect each other at 6 points and 4 circles intersect each other at maximum of 12 points. Each line intersects 4 circles at 8 points. Hence, 4 lines intersect four circles at a maximum of 32 points. Thus, required number of intersections = 6 + 12 + 32 = 50.

How many intersections can 4 lines have?

Originally Answered: what is the maximum number of points of intersection of 4 distinct lines? A pair of distinct lines (in plane geometry) can intersect at most one time. There are (read four choose two equals six) ways to pick two of the four lines to intersect. So there can be at most 6 points of intersection.

What is the maximum number of points of intersection of three lines?

Maximum number of point of intersection of three lines on a plene is three.

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.

Can three lines intersect at more than three points?

Two lines can only intersect each other at a single point. Also, triangles are formed with only straight lines. Therefore we cannot form more than 3 triangles with the points of intersection of 3 lines.

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 maximum number of intersections among N lines in a plane?

The new line can only intersect with the two old lines and a given pair of two lines can intersect at most once. So you can get at most two new intersections. With the intersection of the two lines before, you get 3 intersections.

What is the maximum and minimum number of points of intersection of three lines in a plane?

Thus, the minimum number of point of intersection of three lines on a plane is zero and maximum number of point of intersection of three lines on a plane is three.

Can four lines have only two intersection points?

Four lines can intersect in at most 42−42=6 points. And in fact you can find an example of lines intersecting in 0, 1, 3, 4, 5 and 6 points. All but 2. Obviously there isn’t any way how four lines can intersect in two points.

Do the 3 lines have a common point of intersection?

Three straight lines are said to be concurrent if they passes through a point i.e., they meet at a point. Thus, if three lines are concurrent the point of intersection of two lines lies on the third line. Clearly, the point of intersection of the lines (i) and (ii) must be satisfies the third equation.

Can 3 lines intersect at one point?

Three lines in a plane don’t normally intersect at a single point. You can make three pairs of lines from three lines (1-2, 2-3, 3-1), and each of the pairs will either intersect at a single point or be parallel.

What is the maximum number of points of intersection on a plane?

3. The maximum number of points of intersection when 3 lines are drawn in a plane, as shown, is 3 points. 4. The maximum number of points of intersection when 4 lines are drawn in a plane, as shown, is 6 points. 5. The maximum number of points of intersection when 5 lines are drawn in a plane, as shown, is 10 points.

How many circles and lines are there in a plane?

There are 3 circles and 4 lines in a plane. What is the maximum number of points of intersection in the plane? – Quora There are 3 circles and 4 lines in a plane. What is the maximum number of points of intersection in the plane?

How many intersections can 4 lines have with 4 circles?

Each line intersects 4 circles at 8 points. Hence, 4 lines intersect four circles at a maximum of 32 points. Thus, required number of intersections = 6 + 12 + 32 = 50. Recommended: Please try your approach on {IDE} first, before moving on to the solution.

How many points can 3 lines intersect at the same time?

First two lines can intesect at maximum of 1 point. Then the third line can intersect these two lines at max 2 points and finally the fourth line can intersect these three lines at max 3 points. So total no. of maximum points 1 + 2 + 3 = 6. This also can be achieved by C (4, 2) = 6.