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AravindG

Note ! This is not a question .This is my new series of Tutorials,in this one I am taking up the topic "STRAIGHT LINES" because i see a major part of the questions asked in OS maths section is something like "write slope point form equation of this line", "write the equation of line passing through points.." etc. So here we go .Do not forget to provide your valuable feedback.Feel free to link this tutorial to students when they ask these types of questions again. Happy openstudying ! P.S. Vedic mathematics tutorials will also be continued. Don't worry :)

  • one year ago
  • one year ago

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  1. AravindG
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    \[\huge \color{green}{\text{*****STRAIGHT LINES*****}}\]

    • one year ago
  2. AravindG
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    \[\huge \color{green}{\text{_____________________________________}}\]

    • one year ago
  3. AravindG
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    \[\bf \color{blue}{\text{ lets start with general equation of a straight line}}\]

    • one year ago
  4. AravindG
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    \[\rm \LARGE \color{red}{Ax+By+C=0}\]

    • one year ago
  5. AravindG
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    \[\bf \color{blue}{\text{ where A,B are not both 0 represent equation of a straight line}}\]

    • one year ago
  6. AravindG
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    \[\bf \color{blue}{\text{A straight line can be represented once we know two of its parameters .}}\]

    • one year ago
  7. AravindG
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    \[\bf \color{blue}{\text{Now depending on what the parameters are given to us we can write the}}\]

    • one year ago
  8. AravindG
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    \[\bf \color{blue}{\text{equation in different forms. Lets discuss them now. }}\]

    • one year ago
  9. AravindG
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    \[\rm \bf \large \color{blue}{\text{1.SLOPE-INTERCEPT FORM}}\]

    • one year ago
  10. AravindG
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    \[\rm \bf \LARGE \color{red}{y=mx+b}\]

    • one year ago
  11. AravindG
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    \[\bf \color{blue}{\text{where m is the }}\color{green}{ slope} \color{blue}{\text{ and b is the }} \color{green}{y-intercept}\color{blue}{\text{ of the line}}\]

    • one year ago
  12. AravindG
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    \[\rm \bf \large \color{blue}{\text{2.SLOPE-POINT FORM}}\]

    • one year ago
  13. AravindG
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    \[\rm \bf \LARGE \color{red}{y-y_1=m(x-x_1)}\]

    • one year ago
  14. AravindG
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    \[\bf \color{blue}{\text{where m is the }}\color{green}{ slope} \color{blue}{\text{ and }} \color{green}{(x_1,y_1)}\color{blue}{\text{is a point on the line}}\]

    • one year ago
  15. AravindG
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    \[\rm \bf \large \color{blue}{\text{3.TWO-POINT FORM}}\]

    • one year ago
  16. AravindG
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    \[\rm \bf \LARGE \color{red}{y-y_1=\dfrac{(x-x_1)(y_2-y_1)}{(x_2-x_1)}}\]

    • one year ago
  17. AravindG
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    \[\bf \color{blue}{\text{where }}\color{green}{ (x_1,y_1) ,(x_2,y_2)}\color{blue}{\text{ are points on the line}}\]

    • one year ago
  18. AravindG
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    \[\rm \bf \large \color{blue}{\text{4.INTERCEPT FORM}}\]

    • one year ago
  19. AravindG
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    \[\rm \bf \LARGE \color{red}{\dfrac{x}{a}+\dfrac{y}{b}=1}\]

    • one year ago
  20. AravindG
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    \[\bf \color{blue}{\text{where a and b are }}\color{green}{\text{x and y intercepts}}\color{blue}{\text{ of the line}}\]

    • one year ago
  21. AravindG
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    \[\rm \LARGE \color{yellow}{NOTES:-}\]

    • one year ago
  22. AravindG
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    \[\bf \color{blue}{\text{ So given any one of these forms ,it is easy to get to the general equation}}\]

    • one year ago
  23. AravindG
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    \[\bf \color{blue}{\text{by usual operations like addition,subtraction division and multiplicaion}}\]

    • one year ago
  24. AravindG
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    \[\bf \color{blue}{\text{ Also worth mentioning is that once we have the equation of line in our hand we }}\]

    • one year ago
  25. AravindG
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    \[\bf \color{blue}{\text{ hand, we can easily graph them, by finding x and y intercept and joining them}}\]

    • one year ago
  26. AravindG
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    \[\bf \color{blue}{\text{x intercept is of the form (x,0) and i got by putting y=0 in equation of line}}\]

    • one year ago
  27. AravindG
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    \[\bf \color{blue}{\text{y intercept is of the form (0,y) and i got by putting =0\in equation of line}}\]

    • one year ago
  28. AravindG
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    \[\bf \color{green }{\text{O.K. Now we come to the end of tutorial on Straight lines Part I}}\]

    • one year ago
  29. AravindG
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    \[\rm \huge \color{red}{T} \color{green}{H}\color{blue}{A}\color{YELLOW}{N}\color{INDIGO}{K } \color{VIOLET}{ \text{ Y}}\rm \huge \color{red}{O} \color{green}{U}\]

    • one year ago
  30. kropot72
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    @AravindG A valuable asset for students. Well done!

    • one year ago
  31. NotTim
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    @NotTim Use this. Remember to cite this again when it dissappears from Notifications. @AravindG I liked it.

    • one year ago
  32. ajprincess
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    It is really very useful:).

    • one year ago
  33. star95
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    now i understand the question that they gave me.. thankyou that helped alot

    • one year ago
  34. ParthKohli
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    I love it a lot! :-D

    • one year ago
  35. Nikhil619
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    @AravindG u should become a teacher u know! amazing tutorial! :D

    • one year ago
  36. AravindG
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    thanks evryone!! I hope my fellow users will surely benefit from it.

    • one year ago
  37. star95
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    they should because it explains step by step what to do and how to do it..... lol really good job

    • one year ago
  38. shubhamsrg
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    Commendable job! B|

    • one year ago
  39. AravindG
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    @Opcode try refreshing

    • one year ago
  40. Butterfly16
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    I love this, its really great! I love the colors, lol. :o) Maybe you could add some examples of how to find and put equations and points into the formulas? I know when I'm learning, it always helps to look (and sorta follow) examples.

    • one year ago
  41. hartnn
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    give some examples.

    • one year ago
  42. Veritas
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    Agreed, examples would probably help some of the more... persistent minds. That is when you get the time, this is wonderful as is, just a bit of fine-tuning might help.

    • one year ago
  43. RobertoTB
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    example

    • one year ago
  44. KonradZuse
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    I'm sorry, but I am colorblind and I cannot read any of this... Can you redo it for me please? :D

    • one year ago
  45. SGREBORN
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    Cheers

    • one year ago
  46. chihiroasleaf
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    it's better to give example and picture... :) good job... :D

    • one year ago
  47. goformit100
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    Awesome JOB!

    • 5 months ago
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