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AravindG Group Title

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 Group Title
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    \[\huge \color{green}{\text{*****STRAIGHT LINES*****}}\]

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

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

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

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

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

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

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

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

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

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

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

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

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

    • one year ago
  24. AravindG Group Title
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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 Group Title
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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 Group Title
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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 Group Title
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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 Group Title
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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 Group Title
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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 Group Title
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    @AravindG A valuable asset for students. Well done!

    • one year ago
  31. NotTim Group Title
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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 Group Title
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    It is really very useful:).

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

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

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

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

    • one year ago
  37. star95 Group Title
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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 Group Title
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    Commendable job! B|

    • one year ago
  39. AravindG Group Title
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    @Opcode try refreshing

    • one year ago
  40. Butterfly16 Group Title
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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 Group Title
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    give some examples.

    • one year ago
  42. Veritas Group Title
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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 Group Title
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    example

    • one year ago
  44. KonradZuse Group Title
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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 Group Title
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    Cheers

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

    • one year ago
  47. goformit100 Group Title
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    Awesome JOB!

    • 10 months ago
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