Vector Calculus - Gauss Divergence Theorem | Example and Solution

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  • čas přidán 5. 08. 2024
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    This video lecture of Vector Calculus - Gauss Divergence Theorem | Example and Solution by GP Sir will help Engineering and Basic Science students to understand following topic of Mathematics:
    1. What is Statement of Gauss Divergence Theorem ?
    2. How to convert surface integral into Volume Integral with help of Gauss Divergence Theorem ?
    3. Verification of Gauss Divergence Theorem
    4. Example and solution based on Gauss Divergence Theorem
    #VectorCalculus #GaussDivergence #Verification #GATE #JAM
    This Concept is very important in Engineering & Basic Science Students. This video is very useful for B.Sc./B.Tech students also preparing NET, GATE and JAM Aspirants.
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    Time Stamp
    0:00 - An introduction
    1:38 - Gauss Divergence Theorem
    2:34 - Example 1
    4:25 - Example 2
    6:29 - Example 3
    19:08 - Conclusion of video
    19:25 - Detailed about old videos
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Komentáře • 841

  • @gajendrapurohit
    @gajendrapurohit  Před 4 lety +134

    Thanks for your comment, your appreciation always motivate us to do such kind work.
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    • @bestshiksha106
      @bestshiksha106 Před 4 lety +1

      Sir z ki limit kyon liye samazh nhi aaya jabki parametric coordinate cos and sin hai

    • @bharat_vermaa
      @bharat_vermaa Před 3 lety +1

      Sir, theorem ka proof wali video nhii mil rhii h

    • @AbhishekKumar-jg7gq
      @AbhishekKumar-jg7gq Před 3 lety +1

      Sir peicewise smooth kya hota h gauss divergence theorem

    • @jerichojayce7904
      @jerichojayce7904 Před 3 lety +1

      instablaster

    • @hrbappy999
      @hrbappy999 Před 2 lety +2

      sir,,,,,, বাংলা ভিডিও দিন প্লিজ

  • @anamitrachakraborty1509
    @anamitrachakraborty1509 Před 4 lety +1286

    How many of you are having exam tomorrow and watching this right now ?

  • @muskansinghal771
    @muskansinghal771 Před 3 lety +47

    A complete and point to point explanation of the topic. For my complete syllabus of mathematics, I recommend your videos. They are quite understandable, easy to learn about a particular topic, and helpful to me. Thanks, sir.

  • @easyelectronics4364
    @easyelectronics4364 Před 5 lety +324

    Thank you sir you saved me.... Tomorrow's my exam😓

    • @gajendrapurohit
      @gajendrapurohit  Před 5 lety +98

      Best of luck n god bless you

    • @easyelectronics4364
      @easyelectronics4364 Před 5 lety +12

      Thank you sir.

    • @gajendrapurohit
      @gajendrapurohit  Před 5 lety +53

      Please share my videos with. Your friends

    • @gajendrapurohit
      @gajendrapurohit  Před 5 lety +53

      Thanks for your comment, your appreciation
      always motivate us to do such kind work.
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    • @purushothamdasari4190
      @purushothamdasari4190 Před 3 lety +41

      I have exam in an hour😂

  • @user-kv4vq8ly9i
    @user-kv4vq8ly9i Před 5 měsíci +37

    Who is here in 2024 ❤❤❤

  • @perann4473
    @perann4473 Před 4 lety +17

    Wonderful sir!your way of teaching, especially with examples attracts me a lot sir.even a single sum I can't understand in my class sir.but when I started to watch these videos , within a day I completed vector calculus which you thought sir, all the videos.i am lucky to have a best and awesome tutor like you.once again thank you very much sir.😊

  • @car_of_thrones
    @car_of_thrones Před 7 měsíci +5

    Sir in last in S3 when we solve f•nds then there value will be x²+y² as value of k will be zero as no z is present at that place in "^n" so f•nds will not be(x²-y²)/2🚫 however answer will still comes 0 but the method was bit wrong... Tell me if i am correct or not in this place 🥺

  • @mrsingh5172
    @mrsingh5172 Před 4 lety +31

    Thank you so much sir, for providing us such fruitful lectures. 🙏🙌

  • @amalhussainkhan4752
    @amalhussainkhan4752 Před 4 lety +5

    Thank you so much sir,
    I found it very fruitful for me. I had an assignment related this. I got my point where I was confused.

  • @PrinceRaj-hb2wl
    @PrinceRaj-hb2wl Před 2 lety +2

    wonderful series . lots of thanks
    i learned very easily and effectively

  • @believer23335
    @believer23335 Před 3 lety +2

    Sir you are really awesome!! You makes the problem more easy to understand.

  • @mr.priyanshupran643
    @mr.priyanshupran643 Před 3 lety +1

    sir you are a legend. thanks for providing best value content for free.

  • @ChiragGaurav-gt9is
    @ChiragGaurav-gt9is Před 8 měsíci +18

    100% question solving, 0% topic explanation
    😊

    • @AhmadNawaz-786
      @AhmadNawaz-786 Před měsícem

      Bas ma isi trah ka comment parhne aya tha

    • @ChiragGaurav-gt9is
      @ChiragGaurav-gt9is Před měsícem

      @@AhmadNawaz-786 Ab ye video dekh rha h, konse college me h?

    • @AhmadNawaz-786
      @AhmadNawaz-786 Před měsícem

      @@ChiragGaurav-gt9is College nai University ha .. IST University Islamabad

  • @akshatdwivedi7779
    @akshatdwivedi7779 Před 3 lety +9

    Sir the content you are posting is too good ❤️... Thanks sir for always helping students like us..... But i would love it if you make more videos of a particular topic, with more tough questions which are frequently asked.... Thanks sir ❤️

  • @chandanmansani8996
    @chandanmansani8996 Před 3 lety +3

    It was so helpful sir , during examination or wher we are very near to exams , keeping doing videos sir , those are helping a lot.. to me and all of us. ..
    Thank you sir.. ☺️

  • @rahu6730
    @rahu6730 Před 3 lety +2

    Sir, your videos are very helpful. Please keep helping us 🙏🏻🙏🏻

  • @dhruvbatra6989
    @dhruvbatra6989 Před 4 lety +21

    I loved mathematics till class 12. Then since first year of engg. I have been hating maths. Right now I am in my final year and maths is again looking simplified to me just because of you sir. Thank You

  • @melvinsaji2805
    @melvinsaji2805 Před 4 lety +1

    Thank you Sir
    You make maths easy to understand
    God bless you

  • @sankalpmukim1052
    @sankalpmukim1052 Před 3 lety

    Really good videos sir. Your explanation is very thorough with good examples. It has helped me a lot!

  • @pothanapallirishab4222
    @pothanapallirishab4222 Před 4 lety +3

    Sir your lectures are awesome and your way of explanation is just fantastic ..I just want you to please solve the below problem
    Verify gauss divergence theorem for F=2zxi+yzj+z^2k taker over the upper half of sphere x^2+y^2+z^2=a^2.
    Sir please solve this...

  • @sonipradhuman04
    @sonipradhuman04 Před rokem +1

    Sir this was an amazing lecture... Everything is clear step by step... Thank you so much

  • @dhananjaysahani4470
    @dhananjaysahani4470 Před 4 lety +32

    Crystal clear explanation sir in just one week u have ability to cover the syllabus of entire semester

    • @sergiojoshi7176
      @sergiojoshi7176 Před 3 lety +1

      Please visit Mathcom mentors...
      I don't the guy of Mathcom mentors but he is true legend about surface integral ...
      He clears all the parts of surface integral than this great lecturer

    • @Clickfuse1
      @Clickfuse1 Před rokem

      😂

  • @study_finance137
    @study_finance137 Před 3 lety +1

    Pranam sir, sir apke videos se mjhe sare topics bhut ache se smjh me aa rhe h. bhut sare youtube videos dekha tha pr apka online videos sare mjhe pasand , sir students like me those who are not able to attend regular classes will always thankfull to you..A lot of thanks sir for making us understand higher mathematics easily. thamk you very much sir

  • @ShubhamKumar-pj5im
    @ShubhamKumar-pj5im Před rokem +1

    Sir ham you tube se padhne valo ka ekmatra apka hi sahara hai thank you very very much sir apki video hamare liye bahut bahut helpful hoti hai 🙏🙏🙏

  • @harshalbhoir8986
    @harshalbhoir8986 Před 3 lety

    Pura playlist dekha me bohot achese samjaya he thanku so much GP sir

  • @mathsguru6091
    @mathsguru6091 Před rokem +1

    Your videos are very useful for us . And your way of explanation is too good..

  • @prathamlashkari4230
    @prathamlashkari4230 Před 2 lety

    Thank you so much sir, for providing us such fruitful lecture

  • @akashshukla3252
    @akashshukla3252 Před 3 lety

    thnku sir ur teaching is next level..u teach complicated problems very easy way I totally connect with ur teaching sir

  • @rajshah5459
    @rajshah5459 Před 3 lety +23

    Sir in the 2nd question the coordinate of centre of sphere (3,-1,2) is never used. Are we directly suppose to use formula of volume as 4/3pi r3 and not solve it using triple integration ?

  • @tusharbagal2432
    @tusharbagal2432 Před 4 lety +1

    Very Fantastic explanation sir👌🙏i understood all things properly sir Thank you

  • @PlayWithZoro
    @PlayWithZoro Před 2 lety +1

    Sir you are awesome ,,salute to this legend from heart,,🥺

  • @engineeringtech4u911
    @engineeringtech4u911 Před 3 lety +3

    Good explain to understand properly and solve problems watching this video to know the concept of guass divergence theorem in mathematics

  • @gopikishantiwari5614
    @gopikishantiwari5614 Před 2 lety +1

    Thank you sir today was my pepar and it was fantastic because of you

  • @nabinbista4213
    @nabinbista4213 Před 2 lety

    sir your videos are very best for me ..helped so much .. thank you sir in short time you have explained so much . I have exam in 4 days and your videos are so fruitful to me

  • @nihalkumar5076
    @nihalkumar5076 Před 11 měsíci +1

    You are my favorite mathematics teacher till ever ❤❤

  • @shravansharma1050
    @shravansharma1050 Před 4 lety

    Thank you sir for these videos.
    Very helpful.

  • @SUMSIDER
    @SUMSIDER Před 2 lety +2

    Sir in 1st Question if the value of f1 = x3 and f2 = y3 then what should be the limit of xyz.
    Please answer sir 🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻
    (Note - The question is same as your question but the value of f1 and f2 is different. )

  • @vihaan707
    @vihaan707 Před 4 lety +1

    sir your videos are really good...the way you teach is very amazing...

  • @ashutoshkumar674
    @ashutoshkumar674 Před 2 lety

    You are great sir best teacher for higher level mathematics

  • @rahuldewangan8364
    @rahuldewangan8364 Před 2 lety

    Tq so much sir for explaining this in very simple and fast way 🖤🖤🖤

  • @amarnathprajapati2543
    @amarnathprajapati2543 Před 3 lety +2

    गुरुर्ब्रह्मा ग्रुरुर्विष्णुः गुरुर्देवो महेश्वरः ।
    गुरुः साक्षात् परं ब्रह्म तस्मै श्री गुरवे नमः ॥

  • @ROHITKUMAR-um8ik
    @ROHITKUMAR-um8ik Před 4 lety +2

    Thanks sir your video is very best please making video surface integral

  • @MukeshYadav-vb4bw
    @MukeshYadav-vb4bw Před 3 lety +1

    Thank you sir because this video is very helpful for me.

  • @imabhi_28
    @imabhi_28 Před 3 lety +1

    Thank you sir for u I'm confidently feel that i gain more score.. Tomorrow is my exam..

  • @debaratighatak2211
    @debaratighatak2211 Před 4 lety +1

    Thank you so much for this video sir!😊

  • @25dinmepaisadouble81
    @25dinmepaisadouble81 Před 4 lety +1

    Thank you sir
    Your videos helped me a lot

  • @akarshtripathi7486
    @akarshtripathi7486 Před 4 lety

    sir good content ,mjaa aa gyaa padh k vector 1st sem k liye taiyaar

  • @umeshchandraraju
    @umeshchandraraju Před 3 lety +1

    Excellent way of teaching sir 💯

  • @factworthy9881
    @factworthy9881 Před 4 lety +2

    Thanks you so much sir
    Only because of you I am able to complete vector calculas in 2 days 🙂

  • @shriganeshayenamah3422
    @shriganeshayenamah3422 Před 2 lety +1

    Thanks a lot sir ji
    Understood very well👍🏻👍🏻👍🏻👍🏻👍🏻

  • @ashirwadsingh9719
    @ashirwadsingh9719 Před 7 měsíci +8

    I have exam at 9:30 and i am watching it at 7:40

  • @shivendrachaurasia5965
    @shivendrachaurasia5965 Před 3 lety +1

    thank you very much sir.
    tomorrow is my exam and it will be very very helpfull.
    love u *3000

  • @niranjanapradeep7121
    @niranjanapradeep7121 Před 3 lety

    U made it easier sir, tq so much

  • @sanjeev_verma21
    @sanjeev_verma21 Před 4 lety

    Thanku sir
    For. Clearing the concept

  • @tavanamnaveen
    @tavanamnaveen Před 4 lety +1

    Sir, i am watching you mathematics video and i am very much knowledge from your videos. Please share me some titles of mathematics books on vector calculus please. To practice the concepts of mathematics you taught in this lecture.

  • @lovelysarki9972
    @lovelysarki9972 Před 3 měsíci

    Love you sir , you helped me alot

  • @busyboy0555
    @busyboy0555 Před rokem

    What A method of explanation I never see before

  • @suchismitakhatua7151
    @suchismitakhatua7151 Před 2 lety +22

    You saved us from been failure🤲🏼🧡

  • @abhishekvishwakarma7722

    Very important video , thankyou sir

  • @btecharnab09
    @btecharnab09 Před 4 lety +1

    Darun bujiechen sir. Subscribed.
    Thanks. Tommorow is my online proctor exam

  • @atultode4106
    @atultode4106 Před 2 lety +1

    Thanks sir you clear my doubt which was pending for long time that -k and +k when we have to take

  • @suryastar1056
    @suryastar1056 Před 3 lety

    Thank you sir twommorow is my semester.........this video is very much helped me and.....i shared my friends also ........ because of ur viedo i am passing.... thanks a lot sir🎉

  • @vinaykumarvinaykumar9791

    Very helpfull video sir

  • @akshatdwivedi7779
    @akshatdwivedi7779 Před 3 lety +2

    Thanks sir for helping us.!! ❤️..
    I would love if you make more videos of particular topics in which there are more questions.... Please sir ❤️.
    Thanks a lot sir ❤️

  • @krishnasai5327
    @krishnasai5327 Před 3 lety +4

    Sir can u please explain why we took the normal vectors as k and -k for bottom and upper faces in the cylinder (last problem)

  • @VinodSharma-bv3tw
    @VinodSharma-bv3tw Před 4 lety +1

    Nice teaching technique good sir ji

  • @I_am_inspired
    @I_am_inspired Před 5 měsíci +1

    Thank you so much sir 😊

  • @rishabhkumar8115
    @rishabhkumar8115 Před 4 lety

    nice sir .....i always watch your video...keep it up and love u all

  • @nishasheikh8706
    @nishasheikh8706 Před 2 lety

    Many thanks to uh sir...

  • @arihanjain4111
    @arihanjain4111 Před 6 měsíci

    Very very helpfull lecture ❤

  • @rajpandey3307
    @rajpandey3307 Před 2 lety

    Thank you very much Sir 🙏🙏🙏mujhe aapka padhaya hua sab samjh me aa raha hai 🙏🥰🤗You are the best teacher for Bsc Maths 🙏🙏🙏Aapke batane ka tarika aur samjhane ka tarika bahut hi mast hai 🙏🤗😍

  • @apratimdubey1732
    @apratimdubey1732 Před 2 lety

    Thanq sir it is very helpful for tomorrow's exam

  • @civilshorts13754
    @civilshorts13754 Před 4 lety +1

    Nice explanation sir thank you so much

  • @Bharat_NITK
    @Bharat_NITK Před rokem

    Thank You sir. You are great.

  • @prabhashkumarjha2817
    @prabhashkumarjha2817 Před 4 lety

    Sir, u r greatest Indian teacher

  • @anuragsrivastava6598
    @anuragsrivastava6598 Před 4 lety

    Love you sir, aap na hote toh kya hota, aap humesha aaise hi video daalen 🙏🙏

  • @kaushalgaming7723
    @kaushalgaming7723 Před 7 měsíci +1

    Thank you sir , 🙏🙏🙏

  • @ujjwalsikka524
    @ujjwalsikka524 Před 3 lety

    very well explained.

  • @nime.editz_77
    @nime.editz_77 Před 3 měsíci

    All The videos of this series are beyond my expectations ❤you have explained so clearly
    Really this series was very helpful
    Thanku so much sir

  • @Torquefacts
    @Torquefacts Před 3 lety

    Thnaks sir app ka video muje bhut assa lagtaha

  • @mazharameer311
    @mazharameer311 Před 2 lety

    Excellent work

  • @noimosyni_0594
    @noimosyni_0594 Před 7 měsíci

    Thank you for your help sir

  • @vinodmurtimuseum
    @vinodmurtimuseum Před 4 lety

    Thank you for your videos

  • @chandrashekharsingh2564

    Very powerful teaching

  • @rahulgangwar4165
    @rahulgangwar4165 Před 3 lety

    Awesome guru ji

  • @satyasatya8973
    @satyasatya8973 Před 5 lety +1

    What a video!!!!!
    Really awesome is u r teaching skills fab sir

    • @gajendrapurohit
      @gajendrapurohit  Před 5 lety

      Thanks for your comment, your appreciation
      always motivate us to do such kind work.
      Follow me on
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      Topic:- Partial Differential
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      Topic:- Second Order Differential
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      Topic:-Fourier Transform
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      Topic:-Curve Tracing
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      Topic:-Volume of Solids of Revolution
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      Topic:-Surface Area of Solids of Revolutions
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      Topic:- Double Integration & Area By Double Integration
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      Topic: Change of Order of Integration
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      Topic: Integral Calculus
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      Dr.Gajendra Purohit

  • @janhvinarayan1633
    @janhvinarayan1633 Před 8 měsíci +4

    sir vo determinant of grad phi ki value root me nahi aayegi ?! last question me

  • @divyaanshuagrawal3383
    @divyaanshuagrawal3383 Před 2 lety

    Thank you so much Sir!

  • @varunchawla4710
    @varunchawla4710 Před 5 lety +4

    sir yur videos are theee best i mean the best no one can compare yu

    • @gajendrapurohit
      @gajendrapurohit  Před 5 lety

      Hello VARUN CHAWLA
      Thanks for Subscribing!, your appreciation always motivate us to do such kind work.
      Please Share it With Your Friends
      Want to get notes and link of videos with latest update then Connect me on Telegram Link:- t.me/gajendrapurohit
      Keep Watching OUR latest video.
      Topic:- Differential Calculus For B.Sc. and Engineering Students
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      Topic:- Class 12 Maths NCERT - Continuity Important Questions Board Exam 2019
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      Topic:- Matrics and Linear Algebra
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      Topic:-Fourier Series
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      Topic:-Differential Equation of First Order and First Degree
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      Topic:- Higher Order Differential Equation
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      Topic:- Second Order Differential equation of Variable Coefficient
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      Topic:- Partial Differential Equation
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      Topic:- Vector Calculus
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      Topic:- Laplace Transform
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      Topic:-Asymptote
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      Topic:-Fourier Transform
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      Topic:-Curve Tracing
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      Topic:-Tracing Of Polar Curves
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      Topic:-Surface area and Volume of Revolution of curve
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      Topic:-Complex Analysis
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      Topic:-Partial Differentiation
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      Topic:-Maxima and Minima of Two Variable
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      Topic:-Numerical Analysis
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      Topic:-Integral Calculus
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      Topic:-Integral Transform
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      Topic:-Jacobian
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      Topic:-Envelop & Evolutes
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      Topic: Infinite Series
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      Topic:-Operation Research
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      Topic :- First Order & Higher Degree Differential Equation
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      Topic :- Simultaneous Differential Equation
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      Topic:-Engineering Mathematics
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      Topic: Important Question of Mathematics for Class 12th

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      Topic:- Important Question of Mathematics for Class 10th
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      Topic :- Solution of Paper of Maths CBSE Exam 2019 Class 12th
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      Topic :- Solution of Paper of Maths & Science CBSE Exam 2019 Class 10th
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      Please share it with your Friends
      Thanks
      Dr.Gajendra Purohit

  • @shivaniprakash82
    @shivaniprakash82 Před 4 lety

    Superb explanation sir....

  • @beastboy7327
    @beastboy7327 Před 2 lety

    Thank you very much sir

  • @shivaniramber4161
    @shivaniramber4161 Před 4 lety

    Thanks a lot sir,nyc explanation

  • @damtakligu891
    @damtakligu891 Před 2 lety

    Thank you sir so much...... Very much grateful sir

  • @joshua_dlima
    @joshua_dlima Před 2 lety

    Thank you so much

  • @thanzeelas.r9971
    @thanzeelas.r9971 Před 4 lety +1

    Superb sir👏

  • @claudettrudzate6180
    @claudettrudzate6180 Před 8 měsíci +1

    Great teaching but would have appreciated it more if you talk in English too or if you put subtitles for international students

  • @prachijarani6558
    @prachijarani6558 Před 4 lety

    You are great Sir 👌👌

  • @ayushkumarverma9176
    @ayushkumarverma9176 Před 4 lety

    Amazing 👏👏👏

  • @misspratical240
    @misspratical240 Před 2 lety +2

    Tomorrow is my exam...I couldn't get anything from book...but after watching your video...I get it thoroughly 😇thank you sir❤you r our exam saver sir🙏

  • @KeshavKumar79589
    @KeshavKumar79589 Před 2 lety

    Thanks sir, हम tuition नही पढ़ पाते क्योंकि ट्यूशन fee bahut ज्यादा है।हम आपके chanel se hi पढ़ते है ,आपका बहुत बहुत शुक्रिया।आप ऐसे ही video बनाते रहें।।ईश्वर आपकी रक्षा करे।। Class bsc 1 state up