Post a New Question

Math

posted by .

What is the maximum number of points of intersection of two different lines and three different circles in the same plane?

  • Math -

    the three circles can cut each other in 6 different points (think of a typical Venn diagram)
    A line can cut a circle in 2 point
    so each line can cut all the circles in 6 points

    so total = 6 + 6 + 6 = 18
    BUT, let's not forget that the two lines can also intersect
    so the total is 19

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    One line can divide a plane into two regions. Two lines can divide a plane into four regions. Three lines intersecting at a point can divide a plane into six regions, but you can get more regions than that if the lines don't intersect …
  2. Math

    In an experiment, a pair of dice is rolled and the total number of points observed. (a) List the elements of the sample space (b) If A = { 2, 3, 4, 7, 8, 9, 10} and B = {4, 5, 6, 7, 8} list the outcomes which comprise each of the following …
  3. maths pleaaaase

    The point X and Y are 8cm apart Draw a scale drawing of the diagram and draw the locus of points that are equidistant from both points X and Y what do they mean by equidistant Equidistant means the same distance. I'm not a teacher, …
  4. Math

    Determine whether the following statements are always,sometime, or never true.Explain 1.Three points determine a plane. 2.The intersection of two planes can be a point. 1.Never true, the three points must be noncollinear. 2.Never true, …
  5. Math

    What is the greatest number of points of intersection with three circles that have 6 intersections using four straight lines?
  6. Geometry, Help

    1. Reasoning How does the Distance Formula ensure that the distance between two different points is positive?
  7. math

    Five points lie in the same plane with no three points on the same line. A circle can be drawn through any three of the five points. What is the total number of different circle that can be drawn such that each circle passes through …
  8. trig

    Two circles of radii 5 and 3 cm, respectively, intersect at two points. At either point of intersection, the tangent lines to the circles form a 60◦ angle, as in Figure 2.2.4 above. Find the distance between the centers of the …
  9. Circles

    2 circles have different radius touch at a point and at the point has 1 common tangent and another common tangent touching the circles at different points other than the first
  10. Math

    Three-dimensional tic-tac-toe can be played on three arrays of 3x3 lattice points. To win, three points in a line must be chosen. Examples of such lines are ABC, ADE, AFG, AHI, FHJ. How many different lines can be found?

More Similar Questions

Post a New Question