Answer: Attempt: Given 5 points, a line consist always of 2 points. Thus the total number of straight lines that can be drawn between 5 points is 5_C_2 = 10.
How many lines are distinct points?
So, we get that one line can be drawn by joining points A and B, another line can be formed by joining points B and C and similarly one more line can be drawn by joining points A and C. So, we can name the lines as AB, BC and AC. Hence, we get that only three lines are possible with the help of three distinct points.
How many lines is 4 distinct points?
Answer is SIX. Step-by-step explanation: considering no three lines are in same line. It will make a rectangle or square or quadrilateral.
How many lines is two distinct points?
So, only one line can pass through two distinct points.
What is distinct point?
Two distinct points determine exactly one line. That line is the shortest path between the two points. … It is this property which makes the plane “flat.” Two distinct lines intersect in at most one point; two distinct planes intersect in at most one line. If two coplanar lines do not intersect, they are parallel.
How many points are there in the intersection of distinct lines *?
Two distinct lines will always intersect in at most one point. This will be true no matter how many dimensions we’re in, as long as we’re in a standard Euclidean geometry.
What are two distinct points?
It means that one, and only one line can pass through some given two points. There can be infinitely many pairs of parallel or perpendicular lines which can pass through a set of two distinct points. But two points (distinct) determine a unique line passing through both of them.
How many lines is three distinct points Class 9?
If the three points are collinear then only one line is possible and if the three points are not collinear then three lines are possible.
What are two distinct line meeting at a point called?
Thus the two distinct lines meeting at a point are called intersecting lines.
What are distinct lines?
Two lines are distinct if they intersect at one and only one point or if they are parallel, that is there is no point of intersection between them. Thus the two opposite sides of a parallelogram are distinct lines. Any two adjacent sides of a triangle are also distinct lines.
How many least number of distinct points determine a unique line?
Therefore, a minimum of two distinct points are required to determine a unique line.
What determines a unique line?
A line is a set of points in the cartesian plane in a straight direction which satisfy an equation of one degree between y and x. Every pair of two points will have a unique line passing through them.
How do you count distinct line segments?
What is the least number of distinct points required?
Therefore, a minimum of three distinct non collinear points are required to get a unique plane.
How many points are required to draw a unique line?
A minimum of 2 points are required to draw a unique line for a given equation. What is the minimum number of rays required to form the image of a point?
What is the least number of points that can determine a line?
It takes two points to determine a line.
How many planes can be made to pass through three distinct points?
As if a plane intersects two parallel planes, then the lines of intersection are parallel. Therefore, an infinite number of planes can be made to pass through three collinear points.
How many lines can be drawn through a point?
(i) Infinite line can be drawn through a given point.
How many lines can be drawn through both of the given points?
Infinite lines. Number of straight lines that can pass through 2 points A and B = 1.
How many lines pass through three distinct non linear points?
Hence from three noncollinear points we can draw three lines.
How many planes contain 3 collinear points?
Three collinear points lie in only one plane. 4. Two intersecting lines are contained in exactly one plane.
How many planes can contain 2 points?
Through any two points there exists exactly one line. A line contains at least two points. If two lines intersect, then their intersection is exactly one point. Through any three non-collinear points, there exists exactly one plane.
How many line segments can be formed with 6 distinct points?
So basically the number of lines that can be drawn is simply equal to the number of ways in which we can choose two points out of those 6 points. So for question we need to choose two points out of 6. So that can be done in 6C2 ways. 15 lines!
How many lines can go through 3 points?
If A, B and C are collinear, one line passes through all 3 points. If A, B and C are not collinear, there are 3 lines: line AB, line BC and line AC.
Can a plane have 4 points?
Four points (like the corners of a tetrahedron or a triangular pyramid) will not all be on any plane, though triples of them will form four different planes. Stepping down, two points form a line, and there wil be a fan of planes with this line (like pages of an open book, with the line down the spine of the book).