SMA 103: ANALYTICAL GEOMETRY

Institution KENYATTA UNIVERSITY
Course BACHELOR OF MATHEMAT...
Year 1st Year
Semester Unknown
Posted By stephen oyake rabilo
File Type pdf
Pages 71 Pages
File Size 1.45 MB
Views 8791
Downloads 2
Price: Buy Now whatsapp Buy via whatsapp
  • whatsapp
  • facebook
  • twitter

Description

In this chapter, the Cartesian coordinate system is introduced. The distance between points, midpoints, perpendicular/parallel lines and angles between two lines are covered. The general and point slope form of the equation of the straight line are also covered. 1.2 Lesson Learning Outcomes By the end of this lesson, you should be able to; 1.2.1 Carry out operations on the Straight Line. 1.2.1 The Straight Line In this work the geometrical problems considered are those that are presented on two dimensional plane only and it is therefore important at this point to discuss the plane. Consider any plane with a point denoted by O, which we call the point of reference or the origin. Let line X be horizontal and pass through O and line Y be vertical and pass through O. The horizontal line X is referred to as the x-axis and the vertical line Y is the y-axis. Distance measured from the y-axis is referred to as an abscissa and it is positive if measured to the right and negative if measured to the left. A vertical distance from the x-axis is called a y-ordinate and it is positive if measured above the x-axis and negative if measured below the x-axis. Any point on the plane can described by its abscissa and its ordinate as P(x, y), for any point P. The symbol (x, y) represents the coordinates of the point, where x is the abscissa and y the ordinate and it is also referred to as the Cartesian coordinates of P.
Below is the document preview.

No preview available
Maudhui katika Nguu za Jadi Recommended! Trending!
Ukabila ni hali ya kupendelea mtu, watu au Jamii fulani kutokana na misingi ya kabila. Upendeleo huu huweza kuhusisha mambo mengi kama vile ajira, elimu, makazi, vyeo, na kadhalika. Katika riwaya hii...
7 Pages 15825 Views 32 Downloads 465.29 KB
Wahusika wa Nguu za Jadi Trending!
Wahusika wakuu: Hawa ni wahusika ambao hujitokeza mahali kwingi katika fasihi kiasi cha kwamba wanajitokeza kuanzia mwanzo wa kazi ya fasihi hadi mwisho. Kwa kawaida wahusika hawa hubeba maudhui makuu ya fasihi.
31 Pages 10454 Views 5 Downloads 495.46 KB
ENGLISH FORM 3 TERM 3 END YEAR FULL EXAMS WITH MARKING SCHEMES Trending!
Get a copy of the ENGLISH FORM 3 TERM 3 END YEAR FULL EXAMS WITH MARKING SCHEMES. This is a well set and moderated exam paper with a well coordinated comprehensive marking scheme attached herein. Attached is also the EDITABLE Question Papers that you can customize to your preference.
37 Pages 8989 Views 1 Downloads 1014.01 KB
PARLIAMENT OF OWLS ESSAYS AND ANSWERS Recommended! Trending!
PARLIAMENT OF OWLS ESSAYS AND ANSWERS SERIES 1 1. Misuse of power is a common phenomenon in most African countries. Validate this statement basing your arguments on the play “Parliament of Owls” 20 marks) Introduction Political office in a country comes with duties and responsibilities. Holders of such offices are expected to observe a high degree of integrity as they serve in those offices. It is also vital for the office- holder to perform their duties as dictated by their position without prejudice, bias, Malice, or other unwanted behaviour. However, it as been seen that some officeholders tend to use the privilege of being in such positions to advance their agenda and for self-gain.(accept any other relevant introduction)
26 Pages 19525 Views 59 Downloads 362.25 KB
PARLIAMENT OF OWLS ESSAYS AND ANSWERS SERIES 2 Recommended! Trending!
PARLIAMENT OF OWLS ESSAYS AND ANSWERS SERIES 2 1. It takes sacrifice to achieve success. Basing your illustrations from Adipo Sidang’s parliament of owls, write an essay validate this statement. (20 marks) Introduction Indeed, one has to work hard in order to acquire something worthwhile. The price of freedom and justice has to be paid, as will be discussed below. Points of interpretation The weaver massacre attests to this call and course. Thirty-three weavers are killed in their quest for justice against the oppressive rule of Royal Owl King Tula Nyongoro. Osogo the weaver mourns the loss of thirty-three fellow weavers. It is a painful loss but it is the price of the struggle for liberation.
25 Pages 15570 Views 45 Downloads 365.86 KB
AMC 800: RESEARCH METHODS NOTES Trending!
Research involves a critical analysis of existing conclusions or theories with regard to newly discovered facts i.e. it’s a continued search for new knowledge and understanding of the world around us.
71 Pages 5990 Views 1 Downloads 714.06 KB
AN ARTIST OF THE FLOATING WORLD ESSAY QUESTIONS AND ANSWERS Trending!
AN ARTIST OF THE FLOATING WORLD ESSAY QUESTIONS AND ANSWERS 1. Some of our past actions may cause us problems in the future. Making reference to Kazuo Ishiguro’s An Artist of the Floating World, write an essay to support this statement. Some of the things we did in the past may come back to haunt us in the future. Ono is deeply disturbed by some of his past actions as portrayed in Kazuo Ishiguro’s An Artist of the Floating World. Ono is worried that some of his past actions may have contribute... ....
41 Pages 10871 Views 10 Downloads 435.15 KB
FATHERS OF NATIONS EXCERPTS AND ANSWERS Trending!
FATHERS OF NATIONS EXCERPTS AND ANSWERS EXCERPT 1 Red the excerpt below then answer the questions that follow The door to the bathroom opened. Fiona emerged and started walking but stopped. Her eyes had not adjusted to the darkness in the living room. “Where are you?” she asked. “Over here” he said. “I have taken a couch in the living room. Go take the bed in the bedroom.” “You’re acting as if you might have a wife,” she said. “Do you?” “No, she divorced me last year.” “Did she?” “Yes” “Let’s see now.......
22 Pages 11544 Views 11 Downloads 378.87 KB
ENGLISH FORM 2 TERM 3 END YEAR FULL EXAMS WITH MARKING SCHEMES Trending!
Get a copy of the ENGLISH FORM 2 TERM 3 END YEAR FULL EXAMS WITH MARKING SCHEMES. This is a well set and moderated exam paper with a well coordinated comprehensive marking scheme attached herein. Attached is also the EDITABLE Question Papers that you can customize to your preference.
27 Pages 8496 Views 2 Downloads 745.29 KB
ENGLISH FORM 1 TERM 3 END YEAR FULL EXAMS WITH MARKING SCHEMES Trending!
Get a copy of the ENGLISH FORM 1 TERM 3 END YEAR FULL EXAMS WITH MARKING SCHEMES. This is a well set and moderated exam paper with a well coordinated comprehensive marking scheme attached herein. Attached is also the EDITABLE Question Papers that you can customize to your preference.
20 Pages 16842 Views 0 Downloads 698.18 KB