Week 9 Video Lessons

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    • #28853
      Pasyanthi
      Keymaster

      Please use this thread to post your questions/Comments/impressions/Learnings etc on topics covered in week 9 video lessons

    • #32708
      Savita P Kulkarni
      Participant

      Hi Mr. Ken,

      For lesson 29 the first two practices have same problems /numbers where we find approximate first and both figures of the square root. But in the answer sheet the answers are different.

      Thank you,

       

      • #32754
        KennethWilliams
        Keymaster

        Hi Savita,

        In the first practice only one figure is required, so for 3000 for example you would just give 50.

        In the second practice two figures are required, so for 3000 you get 55.

        So yes the answers are different but the 2nd is more accurate than the 1st.

    • #32796
      Savita P Kulkarni
      Participant

      Thank you Mr. Ken.

      While looking at the square root of 426409, we get a remainder of 3, and we also have 653 square as a perfect square. ( i am not  getting it).

      Thank you,

      • #32835
        KennethWilliams
        Keymaster

        Hi Savita,

        It is a perfect square because when the the remainder 3 is attached in the usual place we find 309 at the end of the number.

        And this is brought to zero by the remaining Duplexes: D(53) = 30 and D(3) = 9.

    • #32797
      Savita P Kulkarni
      Participant

      Hi Mr. Ken,

      For lesson 29, P4-

      1.If we mark off the pairs from right, so for 27.2 we have 1 pairs ( the second pair has only 1 figure ), answer has 1 figure before the decimal point) ,

      for 11.23, we have 2 pairs still the ans. has only 1 figure before the decimal?

      OR do we mark off only the whole part?

      2. for sq. root  of 4140, i am getting 64.36,

      D(4)=16, 60-14=46, 46/12=3r10

      D(43)=24, 100-24= 76, 76/12=6r4

      Thank you,

       

      • #32836
        KennethWilliams
        Keymaster

        Hi Savita,

        1. Yes, we go leftwards in pairs from the decimal point.

        2. I think you slipped up on this line:  D(4)=16, 60-14=46, 46/12=3r10

        The 14 should be 16.

    • #32798
      Savita P Kulkarni
      Participant

      I am sorry to bother you Mr. Ken, it is from the right from the decimal point. I got the marking off process now.

      Thank you,

    • #32866
      Anupama Cherukuri
      Participant

      Hi Ken,

      In lesson – 30 – solution of a quadratic equation

      3x <sup>2</sup>- 5x -7 =0

      7.    0     0     0                           we got 7 here is it because  3x<sup>2</sup>-5x = 7 ?

      13)        -5                                           here remainder -5 because  B= -5?

      ———————–

      3.                                                     3 because a =3?

      and I am not getting the same answer of 3. -4 -3. Can u pls explain this?

      Thanks

      • #32906
        KennethWilliams
        Keymaster

        Hi Anupama,

        Those illustrations in video 30 are to compare the Vedic and conventional methods. In fact the solution of quadratics shown in this lesson is for when the coefficient of x^2 is 1, and in the illustration it is 3.

        We cover this fully in the Advanced course but since you ask let me explain.

        The next step is -50 divided by 13, which gives -4 remainder 2.

        The next step differs in that when we subtract the Duplex of -4 from 20 we have to treble it first so we have 20-48=-28 and -28 divided by 13 gives -3 remainder 11.

        Since you may ask why we say -28 divided by 13 gives -3 remainder 11 rather than -2 rem -2, this becomes clear once you start to proceed to the following step.

      • #33005
        Anupama Cherukuri
        Participant

        Thank you Ken

    • #33023
      Amara Deepthi
      Participant

      Ken, the ekadhika for 99 is given as 10. But it can be one also rite. As i can take this number as 099 and 0+1 =1 . Please clarify.

      • #33025
        KennethWilliams
        Keymaster

        Yes that’s right Amara. If you take the Ekadhika as 10 you will be working 1 figure at a time.

        But if you take it as 1 you must work 2 figures at a time (as in lesson 32).

        Try it.

      • #33093
        Amara Deepthi
        Participant

        Got it Mr. Ken. Thank you.

    • #33084
      Shikha Dhingra
      Participant

      Hi Ken

      I have a doubt in lesson 34 practice 4 ( Q-2 ) .

      Find the angle between lines y=2x and y=3x

      1         2         √5

      1         3          √10

      ____________________________

      7        -1                √50

      I got -1 in second place but the answer is 1 . Pls clarify

       

       

      • #33085
        KennethWilliams
        Keymaster

        That is ok Shikha. The angle is the same.
        If you subtract them the other way around you will get 7,1,-.
        It is usual to put the line with the steeper slope on the top.

        If you think about it, the angle between two lines could be expressed by several angles.

    • #33087
      Shikha Dhingra
      Participant

      Hi Ken

      We can also thought of a triangle below x-axis as second element i.e. height is negative.

       

       

    • #33088
      Savita P Kulkarni
      Participant

      Hi,

      For practice 2, problem4,

      3.   4.   5

      3.   4.    5

      _________

      25.  0.  25   , we know that as both the triangles are the same, the subtraction of angles is zero and their base, ht. and hypotenuse will be 1 0 1?

      How do we show geometrically and explain?

      Thank you,

    • #33089
      Savita P Kulkarni
      Participant

      Oh got it, we are interested in the angle of the triple and not the size of the triple.

      And thank you Shikha for asking the question about -1.

      Thanks,

    • #33138
      Savita P Kulkarni
      Participant

      Hi,

      For practice 3 for lesson 35 about squaring from L to R –

      2) 83^2= 6889

      But I could not get the same answer using negative number.

      83^2 =

      D(8)= 64, D(83)= 48, D(3)=9,

      =6 with a carry 4, then 48=40=88 which can also be written as 9bar2, then 9-20= -11? how do i proceed?

      Thank you,

       

      • #33139
        KennethWilliams
        Keymaster

        Hi Savita,

        It’s best not to apply bar digits here, but should still work out if you do.

        You arrived at the end with 69(11).
        This converts directly to 6889.

        It is certainly worth experimenting with the bar numbers to become familiar and get an idea when to apply them.

    • #33140
      Savita P Kulkarni
      Participant

      Thank you Mr. Ken.

    • #33146
      Anupama Cherukuri
      Participant

      Hi Ken,

      square root of 246<sup>2</sup> + 198<sup>2    </sup>

      1. 2<sup>2 </sup>+ 1<sup>2</sup> = 5                                                              5/34/
      2. 2*4 + 1*9 ) X 2 = 34                                                 1
      3.    34 + 10 = 44/4 =11 r 0                              4) ———————-
      4.                                                                                   2
      5. How r we gonna put that 11?
      • #33147
        KennethWilliams
        Keymaster

        Hi Anupama,

        You would need to write it as 11 where the first 1 is a subscript.

        Then you would carry it to the 2 once the calculation is completed.

        But given 198 it would be easier to write it as 20(2).

    • #33150
      Preeti Pathak
      Participant

      Hi,

      I found triple method to find the distance of the point from the line to be very simple, easy to understand and fast. Moreover,

      in finding the final answer ,we have to do calculations for the middle element only(for distance).I remember, how much calculations we had to do with conventional method .

      Thanks

    • #33156
      Savita P Kulkarni
      Participant

      Hi,

      While going through the videos of this week, I understood and enjoyed working on the triples concept. After 2 days when I took the quizzes, I realized that i need to practice it every day till at least I get a hang of it. ( I did so poorly, haha )

      Thank you,

    • #33159
      Preeti Pathak
      Participant

      Yes Savita, agreed. we need to practice it, otherwise we tend to forget the things.

      Thanks

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