Maths straight lines presentation
- 1. STRAIGHT LINES PRESENTED TO – MIN RAJ LAMICHHANE SIR. BASIC MATHEMATICS XI(MANAGEMENT)
- 2. AGENDA Introduction Cartesian coordinate system Rectangular coordinate system Applications in real life.
- 3. MEET OUR TEAM - PRATIK BHATTARAI - SUMIT SHRESTHA - BIGYAN TRIPATHI - NISHESH POKHREL - AADARSH THAPA - ALOK DAS
- 4. INTRODUCTION A straight line is just a line with no curves. So, a line that extends to both sides to infinity and has no curves is called a straight line. 4 Or, The shortest distance between two points. Y Y’ X’ X a b
- 5. Who invented straight line? Euclid. Euclid was an ancient Greek mathematician active as a geometer and logician .He is considered the "father of geometry”
- 6. CARTESIAN COORDINATE SYSTEM X’ X Y’ Y o a b P( x ,y ) y (ordinate) x (abscissa) A point in two-dimensional plane is written as P(x , y). x is called the abscissa and y is called the ordinate. X is the distance of point p from Y axis. Y is the distance of point p from X axis.
- 7. Presentation title René Descartes was a French philosopher, scientist, and mathematician who invented cartesian coordinate system.
- 8. Two mutually perpendicular lines intersect each other and divide the plane into four parts. Each part is called Quadrant The intersecting point, is known as the origin. The lines are called rectangular axis. RECTANGULAR COORDINATE
- 9. PROPERTIES OF STRAIGHT LINE Straight lines have the following qualities :- The length of a straight line is endless. We will never be able to calculate the distance between the line’s two extreme points There are no areas and no volume in a straight line. However, it has an infinite length A one-dimensional figure is a straight line A single point can have an endless number of lines passing through it, but only one line travels through two points. 9
- 10. APPLICATIONS IN REAL LIFE Light travels in straight line.
- 11. Roads, Railway Tracks and Bridges are constructed based on parallel lines.
- 12. Use of Slopes in Physics While plotting graphs of motion, the graph of position vs time results in a straight line. The slope gives the velocity. Depending on the value of the slope, an object can be at rest or can have constant velocity.
- 13. Additional Applications Future contract markets and opportunities can be described through straight line graphs. Straight line graph used in medicine and pharmacy to figure out the accurate strength of drugs. Straight line graphs are used in the research process and the preparation of the government budget. Straight line graphs are used in Chemistry and Biology. Straight line graphs are used to estimate whether our body weight is appropriate according to our height.
- 14. Frequently Asked Questions • What Do Parallel Straight Lines Mean? Ans. If two lines are in the same plane but never meet, they are said to be parallel lines. The angle between parallel lines is either 0 degrees or 180 degrees. They are pointing in the same direction as one another. If we have two parallel lines and know the slope of one, we may equate the slope of the second line to the slope of the first and get the slope of the other line. • What is the straight line condition? Ans. A line is just a geometric entity with zero width that extends on both sides. A straight line is one that has no bends. A straight line is a line that stretches to infinity on both sides and has no bends. • What is the angle formed by two perpendicular straight lines? Ans. The two perpendicular lines meet at a 90-degree angle. The slopes of the two perpendicular lines are lined in such a way that the product of their slopes equals -1. Perpendicular lines can be found in many places, such as the corners of tables and rooms, and we can measure the angle between the sides to determine that the angle between the perpendicular lines is 90 degrees.
- 15. Conclusion The length of a straight line is endless. We will never be able to calculate the distance between the line’s two extreme points.There are no areas and no volume in a straight line. However, it has an infinite length.A one-dimensional figure is a straight line.A single point can have an endless number of lines passing through it, but only one line travels through two points.A linear equation is a straight line equation. Based on known variables, angles, and constants, a straight line on a cartesian plane can have various representations. The slope of a straight line dictates the line’s direction and indicates how steep it is.A straight line with slope m = tanθ and y- intercept b is given by: y = mx + b, where m is the slope and θ is the angle formed by the line with the positive x- axis.Three non-collinear points cannot be crossed by a straight line.
- 16. THANK YOU CLASS 11 MANAGEMENT BASIC MATHEMATICS