The smallest number of straight lines that will divide a plane into 5 regions isA. 3B. 4C. 5D. 6E. 2010
Question
The smallest number of straight lines that will divide a plane into 5 regions isA. 3B. 4C. 5D. 6E. 2010
Solution
The answer is B. 4.
Here's the step-by-step explanation:
- Draw the first line. This divides the plane into 2 regions.
- Draw the second line. If you draw it intersecting the first line, it will divide the plane into 4 regions.
- Draw the third line. If you draw it intersecting the first two lines, it will divide the plane into 6 regions. But we only need 5 regions.
- So, we draw the third line in such a way that it intersects only one of the existing lines. This will divide the plane into 5 regions.
Therefore, the smallest number of straight lines that will divide a plane into 5 regions is 4.
Similar Questions
How many of the following statements are true?Four coplanar lines can divide the plane into 6 regions.Five coplanar lines can divide the plane into 8 regions.Six coplanar lines can divide the plane into 7 regions.
Short solid lines drawn perpendicular near but not touching the ends of the dimension lines they relate to.
Twelve straight lines are drawn in a plane such that no two of them are parallel and no three of them are concurrent. A circle is now drawn in the same plane such that all the points of intersection of all the lines lie inside the circle. What is the number of non-overlapping regions into which the circle is divided
The numbers of straight lines can be formed out of 10 points of which 7 are collinear ?Question 4Answera.21b.None of thesec.26d.25
Find the minimum number of straight lines required to make the given figure.Choose Onea) 16b) 17c) 18d) 19e) Skip
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.