I really like this channel as it is the only youtube channel that teaches in English. If you are someone from South India, you may relate that it is hard to understand teaching in Hindi. As most of the channels like Vedantu, Byjus etc... all teach in Hindi, this is one exception and makes it easy for us South Indians to understand the concept. I would prefer English over any regional language as personally, for me, I understand better in English. So, thank you very much sir for such amazing content!
Really helped. Every where only Hindi speaking teachers, want English speaking teachers as we don't understand Hindi from south states. Really helped a lot🙏
Very well done. However, I have one question about the given example - sequel of numbers: 3, 3, 3, 3, 3... Is this an A.P. with d=0 or is this a G.P. with q=1?
Great explanation sir,,and the results of last question given by you are : as I find d°2=4 then d=+ - 2....so the results are (2,6,10,14) or (14,10,6,2).... again sir that was a very nice and simplified explanation ☺️☺️
sir, last year I got 60% in my chemistry exam, and was very unhappy. You helped me so much, I kept on practicing using your videos, and in the latest chemistry test, I got 96%!! It was the best result in the class!! You have helped me so much!!
Thanks sir for teaching us in slow and steady english which is not to be found in many channels , big channels like byjus and toppr use fancy words whereas u teach us in a way we can understand .
Hindi is not my first language and I understand English better than Hindi, whenever I search for explanations the videos are in Hindi, this is the first time I came across an English video. Thank you
The four terms are T1. T2. T3 and T4..... where we assume T1 = a-3d, T2 = a-d, T3 = a+d and T4 = a+3d, Given that, T1+T2+T3+T4 = 32 So, a-3d+a-d+a+d+a+3d= 32 4a=32 a=8 Also, given that T1*T4: T2*T3 = 7:15 15 (T1*T4) = 7 ( T2*T3) 15 (a-3d) (a+3d) = 7 (a-d) (a+d) 15(a² -9d² ) =7 (a² -d² ) 15 (64-9d² ) = 7 (64-d² ) { since, a=8} 960-135d² = 448-7d² 960-448 = 135d² - 7d² 128d² = 512 d² = 4 d = 2 T1= a-3d=8-(3*2)=2, T2=a-d=8-2=6, T3=a+d=8+2=10 and T4=a+3d=8+(3*2)=14 So, the numbers in the A.P are 2,6,10 and 14
My 1st preparatory exam is going to start now I was worried about my maths chapter and I have got his teachings are very best tq u so much sir☺️in lockdowm at online class I was not understanding anything but by ur video I got everything easy tq u so much sir🙏☺️
What's with 'legends' lately?! People find this word too interesting🤔. And they start commenting under every educational video! People these days, Huh😬.. And for the sake of getting too many likes , they add some extra spice to the word 'legends' like ultra legends, blah blah blah
Thanks a lot sir ! You really made this topic easy-peesy . The results of the last question are (2,6,10,14...) and ( 14,10,6,2...) since, the value of d =+-2.
Thank you very much sir .. I was facing difficulties in this chapter but thanks to your fabulous teaching,now I'm confident that I will be able to solve all the sums of this chapter...😊😊😊
Your explanation is very clear sir...... I like the way u teach us sir it's really easy to understand.... Thank you so much for ur explanation sir ....it really helped me a lot....
ANSWER IS 8 10 12 14 D=2 A=8 FIRST WE ADD ALL TERMS A-3D A-D A+D A+3D A =8 A-*=A+D/A-3D*A+3D=15/7 GIVEN D=2 ANSWER CAME THANK YOU MANOCHA SIR WAS TEACHING
sir, u r an experienced tutor because I have been watching videos related to AP on other channel but they take it a very long way but u r short and precise sir.... tqsm sir u r the best
Really helpful and fruitful to me and hope to all the students ,, carry it on sir👍 .. Plzzz make us clear all ch of ncert maths and science ...which includes short time but full and clear explanation ...thank u 👏
VERY WONDERFULLY EXPLAINED SIR.. 💕❤ SIR, PLS BRING MORE FREE AND QUALITY EDUCATION FOR US SIR.. I UNDERSTAND WELL WHEN U TEACH BY THE WAY THE ANS TO THE HW IS,, 2,6,10,14. THANK U SIR ONCE AGAIN..
@@jakkapallypradeepgoud2146 See sir told us to take the first four terms as a - 3d, a - d, a + d, a + 3d Now we should divide the product of first and last term by second and third to get 7/15. This (a - 3d) (a + 3d) / (a - d) (a + d) = a^2 - 9d^2 / a^2 - d^2 = 7/15 Crossmultiplying we get 15(a^2 - 9d^2) = 7(a^2 - d^2) = 15a^2 - 135d^2 = 7a^2 - 7d^2 = 15a^2 - 7a^2 = 135d^2 - 7d^2 = 8a^2 = 128d^2 We know that 8*8*8 = 128*2*2 512 = 512 Thus a = 8, d = 2 Thus the terms are a - 3d, a - d, a + d, a + 3d. = 8 - 6, 8 - 2, 8 + 2, 8 + 6 = 2, 6, 10, 14 Sorry for the late reply
@@sananya9404 See.. after we get 8a^2 = 128d^2 If we put the value of a as 8 and b as 2 we get 8*(8)^2 = 128d(2)^2 = 8*8*8 = 128*4 512 = 512 (You have just randomly put in the values and try it) Thus a = 8 d = 2 Thus the terms taken are a - 3d, a - d, a + d, a + 3d Thus we get 8-3(2), 8 - 2, 8 + 2, 8 + 3(2) = 8-6,8-2,8+2,8+6 = 2,6,10,14....
Excellent sir...my son's concepts got clear...I am an engineer..thanks to lock down got to learn these basics ...which I found very difficult during my school days....😂😂😂😂..thanks to you and internet....who made it so easy to learn
Sir your video is in super simple words , I had lot of issues in this chapter , but after this video I can now attend the A.P questions in EXAMS . Thank you very much sir 🌹🌹
![[UNCUT] เก็บ "สจ.โต้ง" เอี่ยวมาเฟีย รู้ตัวคนบงการ ก่อนสั่งลั่นไก I คนดังนั่งเคลียร์ I 13 ธ.ค.67](http://i.ytimg.com/vi/o-J_p62D40w/mqdefault.jpg)
For LIVE Classes, Concept Videos, Quizzes, Mock Tests & Revision Notes please see our Website/App 👇
👉Our Website: bit.ly/2KBC0l1
👉Android App: bit.ly/3k48zdK
Finally..someone who speaks English and not Hindi
Ikr I've been struggling
Hindi*
Yeah
@Everett Jon lol is this staged or sth ?
Yes
I wonder even if my anwser is wrong or I don't anwser, Sir says "That's right".
My school teacher should be like him. 😂😂🤣🤣
😂😂😂😂😂😂😂" That's right"
True I will be satisfied
Mu ki baat cheen liya bhai
Sir you're just amazing.. the way u teach makes even a dull student in math and science can easily understand.. thank u so much sir 🙏
It's my pleasure
Hey Army.... 💜💜💜
Hi army ⟬⟭💜 ⟬⟭💜 ⟬⟭💜
@@ManochaAcademy sir plz use some Kannada
Correct
I really like this channel as it is the only youtube channel that teaches in English. If you are someone from South India, you may relate that it is hard to understand teaching in Hindi. As most of the channels like Vedantu, Byjus etc... all teach in Hindi, this is one exception and makes it easy for us South Indians to understand the concept. I would prefer English over any regional language as personally, for me, I understand better in English. So, thank you very much sir for such amazing content!
👍😊yep
Really helped. Every where only Hindi speaking teachers, want English speaking teachers as we don't understand Hindi from south states. Really helped a lot🙏
Good luck with your exams, ik most of us are here just before exams and this man teaches in English unlike most. Thank you sir!
Way of teaching is in another level... AMAZING!!!!!
Wow, thank you!
Nice explanation
Finally...founded, Explanation in English...And going to follow this.. hereafter.. Subscribed👍Thank you sir for your awesome Explanation..
Thanks and welcome
@@ManochaAcademy ☺️
I like how pumped and energetic he is to teach , Btw your handwriting is immaculate.
Thank you so much 😀
Thank you, sir. It made a revision of the AP chapter the day before the Math Exam as a glance over
Let our four parts are
a-3d, a-d,a+d,a+3d
Then by the given question
(a-3d)+(a-d)+(a+d)+(a+3d)=32
4a=32
a= 8
Let
1st, 4th terms product and 2nd, 3rd terms product is 7:15
(a-3d)(a+3d)/(a-d)(a+d)=7/15
a square -9d square /a square -d square = 7/15(cross multiplication )
15 (a square - 9d square )=7 (a square - d square )
(15a square - 135d square =7a square -7d square )
(15a square -7a square) = (-7d square +135d square)
8a square = 128d square
(a=8)
8×8×8=128d square
512=128d square
512/128=d square
4=d square
Root 4=d
D=2
a-3d=8-(3×2)=8-6=2
a-d =8-2=6
a+d=8+2=10
a+3d =8+3×2=14
Then the AP is 2, 6, 10, 14
V nice explanation, U too are very decent Sir, no attitude, no unnecessary drama which makes ur presentation more effective
I saw more videos in Monocha academy I liked your videos
Thanks for liking
Very well done. However, I have one question about the given example - sequel of numbers: 3, 3, 3, 3, 3...
Is this an A.P. with d=0 or is this a G.P. with q=1?
Bro ye channel achha h try ktoAP Chapt 5 Class 10 Maths: th-cam.com/play/PL3eoYHc2J4D3_32bAucCCZkYA6OT-9Zs4.html
Are you Indian? Or not by your username?
Great explanation sir,,and the results of last question given by you are : as I find d°2=4 then d=+ - 2....so the results are (2,6,10,14) or (14,10,6,2).... again sir that was a very nice and simplified explanation ☺️☺️
excellent way of approach...students can easily understand...please cover all the topics for X class maths
All Students should prefer this video as it is very helpful to understand arithmetic progression in easy way
Sir your handwriting is awesome🤩🤩🤩🤩🤩🤩🤩🤩🤩
Thank you so much 😀
🙏
Legend watch it day before exam 🗿🗿
Legend r watching for term 2 exam 2021-2022 🤪for scoring good marks 💯in term 2
sir, last year I got 60% in my chemistry exam, and was very unhappy. You helped me so much, I kept on practicing using your videos, and in the latest chemistry test, I got 96%!! It was the best result in the class!! You have helped me so much!!
Congratulations on your excellent results!! Awesome to hear that :) Thanks for sharing!
Great teaching sir i m your biggest fan 👌👌👌👌🙏🙏🙏🙏🙏🙏🙏🌹🌹🌹🌹🌹
Many many thanks
Thanks sir for teaching us in slow and steady english which is not to be found in many channels , big channels like byjus and toppr use fancy words whereas u teach us in a way we can understand .
In all TH-cam he is the one who teach in English
TQ
Nah , there's another teachers too who takes sessions in english
Bro ye channel achha h try ktoAP Chapt 5 Class 10 Maths: th-cam.com/play/PL3eoYHc2J4D3_32bAucCCZkYA6OT-9Zs4.html
Thank you sir I was searching this video in English but most of them made it in hindi so I can't understand .Your Video helped me lot 🙏
It's my pleasure
Liked your board and markers... 👌👌
Thanks for liking
Ha
your teaching is good but we need the steps followed by it , so the students can follow u easily , just try it🙂
-by teacher
Hindi is not my first language and I understand English better than Hindi, whenever I search for explanations the videos are in Hindi, this is the first time I came across an English video. Thank you
Nice sir...can you please explain its importance in daily life
The four terms are T1. T2. T3 and T4.....
where we assume T1 = a-3d, T2 = a-d, T3 = a+d and T4 = a+3d,
Given that, T1+T2+T3+T4 = 32
So,
a-3d+a-d+a+d+a+3d= 32
4a=32
a=8
Also, given that T1*T4: T2*T3 = 7:15
15 (T1*T4) = 7 ( T2*T3)
15 (a-3d) (a+3d) = 7 (a-d) (a+d)
15(a² -9d² ) =7 (a² -d² )
15 (64-9d² ) = 7 (64-d² ) { since, a=8}
960-135d² = 448-7d²
960-448 = 135d² - 7d²
128d² = 512
d² = 4
d = 2
T1= a-3d=8-(3*2)=2, T2=a-d=8-2=6, T3=a+d=8+2=10 and T4=a+3d=8+(3*2)=14
So, the numbers in the A.P are 2,6,10 and 14
okay thanks nerd
Sir ur such amazing really I can understand clearly
... thank you so much sir
You are most welcome
LEGENDS are Reading comments now Instead of Watching video 😂😂
They r not legends
They're just wasting their time
Stop your foolish camment
My 1st preparatory exam is going to start now I was worried about my maths chapter and I have got his teachings are very best tq u so much sir☺️in lockdowm at online class I was not understanding anything but by ur video I got everything easy tq u so much sir🙏☺️
Ultrapromax legends watching after 4 years🎉⚡⚡⚡
lol
thanks a lot sir u just saved my life
I have an exam tommoro and this will help a lot
Great to hear it was helpful!! All the best for your exam!
Very easy to understand....thank you sir for the simple explanation
You are welcome
EAST OR WEST MANOCHA SIR IS BEST 😊👍👍👍👍💐💐🎉🎉🎉❤️❤️❤️
That's right 😄
@@146dravyabangera2 thank u mam
@@manojsj-xu7lk wlc😃
Thanks
Yea that's nice..😁
Thank-you So Much Sir
I am now preparing for my preboard examination 🙂
bro same
Same here😌🙋♀️
sir, I haven't seen a teacher like u in my life❤❤u are the best😍😍
Wow, thanks
Ok ok
Thankyou so much sir...👍👍👍
Really loved yr way of teaching💯
It's my pleasure
Ur simply genius sir🙏🙏, now I got this chapter perfectly, pls do a video on trigonometry also sir, the way you teach is awesome
Sure I will
@@ManochaAcademy thank you so much sir
Sir u r something special....🤗love u sir😘😘
Thank you so much 😀
Ok sir
I m surprised of your quick reply
Legends are watching after 1 year
What's with 'legends' lately?! People find this word too interesting🤔. And they start commenting under every educational video! People these days, Huh😬.. And for the sake of getting too many likes , they add some extra spice to the word 'legends' like ultra legends, blah blah blah
Lol
Noob
Trueéeee
then majority was legends🥴
19:28 sir there s n easy method....first term+ last term/2
👉213+37/2 ==250/2 = 125 👈Ans
@Jerena Jacob ohk bro
how you did that finding middle term just by adding 1 to the no. of terms [ how one can add 1 ]
please clear the latter
Mid term is equal to first number (1) minus last number (23) divide by 2
Amazing explaination at last we got a sir who is teaching in English and good explanation and easier to understand
Thanks and welcome
Really like the way u explain sir thank u. stay blessed hope ur channel hits a million subscribers
Thanks a ton
Thanks sooooooooooooooooooooooooooooooo muchhhhhhhhhhh sir 😭 nice teaching im seeing this from karnataka
Most welcome
Dear Sir is Best
@@jethalalchampaklalgada4096 yah yah
Excellent video sir .Solving sums is the best way to understand the concept
Who all are seeing this video near Board exam term 2
Im from government syllabus , there are only 23days for my board exam im seeing now all maths chapters
2 days for board exam 🥲
Haa bro😢😢
Yes 🤣
2 days left for my exam🤣
Sir when u asked 5,4,3,2,1 is it AP or not i said 'No' but in the vedio u said that's right 🔥🙏😅
Omg yeah same 🤡
Thank you sir I like our teaching 😊😊🙏
It's my pleasure
Thank you so much sir you really did a good job for us thank you so much again......... you are the best......
Thanks and welcome
Thanks a lot sir ! You really made this topic easy-peesy .
The results of the last question are (2,6,10,14...) and ( 14,10,6,2...) since, the value of d =+-2.
Thank you very much sir ..
I was facing difficulties in this chapter but thanks to your fabulous teaching,now I'm confident that I will be able to solve all the sums of this chapter...😊😊😊
It's my pleasure
Seriously now I find that A.P is the most easy chp after watching this...Excellent explanation sir ...it help me a lot🙂🙂
Happy to help
Every thing that you teach i really understand it
You are great
Glad to hear that
I was struggling with this topic but now following your videos I can do more than more thank you sir
Expect that question..your explanation is excellent 👌🏻👌🏻👏👏😁😁
Thank you! 😃
Your explanation is very clear sir......
I like the way u teach us sir it's really easy to understand....
Thank you so much for ur explanation sir ....it really helped me a lot....
You are most welcome
Nice Teaching! Your handwriting is fabulous!!
Thank you! Cheers!
Your teaching is very great sir
Thank you soo much sir🙏
Most welcome
Thank u so much sir for this video..... Any making my 10th class easy
Most welcome
Your teaching is great sir...👍👍👍👍
Thanks and welcome
ANSWER IS 8 10 12 14
D=2
A=8
FIRST WE ADD ALL TERMS
A-3D A-D A+D A+3D
A =8
A-*=A+D/A-3D*A+3D=15/7
GIVEN
D=2
ANSWER CAME
THANK YOU MANOCHA SIR WAS TEACHING
nicely solved but the Answer should be 2,6,10,14.
Sir please make video on quadratic equations
Thnk you sir, u r amazing and ur way of teaching is spellbound.. 😃
It's my pleasure
Ur explanation is too good and ur hand writting 👌👌
Thank you so much 😀
Sir i had some doubts can u explain me
sir, u r an experienced tutor because I have been watching videos related to AP on other channel but they take it a very long way but u r short and precise sir.... tqsm sir u r the best
You are most welcome
Sir I like you approach to ask questions!!!!! That's very exciting😘😘
I must say that you handwriting is very beautiful.And thank you very much for this superb lecture💙💙
Thank you so much 😀
@@ManochaAcademy Most welcome💙
great tutorial!!
I really like how u use those colored pens
Thanks sir , it help in lockdown very much 😊 😊 😊😊 😊 thanks again
Always welcome
Second question i solved by 👇👇
D = 25-9/2 it comes 16/2 which is 8
By this,,B will 17, A will 1😇😇😇 i was too much happy to see the answer 😀😀😀😀😀😎😎
Hff
Sir no words, you are rocking 👍
Excellent 🙏
Thank you so much 😀
Thank u for helping me understand 🙏🏽🙏🏽🙏🏽🙏🏽🙏🏽 U saved my life
Sir please make an video on surface areas and volumes class 10
Thank sir you are so easy teaching 🥰🥰😍😍😍
Iam Big fan of your teaching sir🤩🤩🤩
Most welcome
Soo slow teaching..
Really helpful and fruitful to me and hope to all the students ,, carry it on sir👍 ..
Plzzz make us clear all ch of ncert maths and science ...which includes short time but full and clear explanation ...thank u 👏
I complete got a idea about arithmetic progression and solving sums in arithmetic progression.this is because of you .Thank you sir👌
You are most welcome
Thank you sir you make every subject easy and they will be lucky who will be your students. 👍
It's my pleasure
you are the best sir.
Thank sir for your explanation I liked the video of progressions
Glad you liked it
You're amazing Mr,now I know how to solve in ways my teacher never taught me,thank yo I very much sir ,l😁😁😁😁
BEST REVISION FOR MY MATHS EXAM TOMORROW ☺🙏🙏🙏THANK U SIR!!!!!!!!!!!!!!!!
For the last sum the answer is 2,6,10,14 thank you sir , this really made me understand the concept
It was a great class sir
And thank you for this wonderful class
Glad you liked it
Thank you sir I missed my online class on this chapter now I got this soo easily
Great 👍
Your writing is beautiful sir😍💓
Thank you so much 😀
VERY WONDERFULLY EXPLAINED SIR.. 💕❤
SIR, PLS BRING MORE FREE AND QUALITY EDUCATION FOR US SIR.. I UNDERSTAND WELL WHEN U TEACH
BY THE WAY THE ANS TO THE HW IS,, 2,6,10,14.
THANK U SIR ONCE AGAIN..
Ultra Legends watch Before one hour of exam 😁
Legends do not comment on every fucking video about them being a legen
Y'all having online exams huh?
@@shookystar8074 nah he made this up he's a clown who wants attention
@@mahirpandya8666 ikrr
The best thing of your video I can even watch your videos in "144p"❤️
@Akash Som I understand why are you asking that, but I am not.
Sir, after applying the formula and equating
we get a = 2, d = 4
Ap = 2, 6, 10, 14…..
Yes
Bro please explain
@@jakkapallypradeepgoud2146
See sir told us to take the first four terms as a - 3d, a - d, a + d, a + 3d
Now we should divide the product of first and last term by second and third to get 7/15.
This (a - 3d) (a + 3d) / (a - d) (a + d)
= a^2 - 9d^2 / a^2 - d^2 = 7/15
Crossmultiplying we get
15(a^2 - 9d^2) = 7(a^2 - d^2)
= 15a^2 - 135d^2 = 7a^2 - 7d^2
= 15a^2 - 7a^2 = 135d^2 - 7d^2
= 8a^2 = 128d^2
We know that 8*8*8 = 128*2*2
512 = 512
Thus a = 8, d = 2
Thus the terms are a - 3d, a - d, a + d, a + 3d.
= 8 - 6, 8 - 2, 8 + 2, 8 + 6
= 2, 6, 10, 14
Sorry for the late reply
@@shreyas_yt7734 I get the equation 8a^2=-128d^2 but then i dono to solve this further and get the values of a and d
@@sananya9404
See.. after we get 8a^2 = 128d^2
If we put the value of a as 8
and b as 2 we get
8*(8)^2 = 128d(2)^2
= 8*8*8 = 128*4
512 = 512
(You have just randomly put in the values and try it)
Thus a = 8
d = 2
Thus the terms taken are a - 3d, a - d, a + d, a + 3d
Thus we get 8-3(2), 8 - 2, 8 + 2, 8 +
3(2)
= 8-6,8-2,8+2,8+6
= 2,6,10,14....
Excellent sir...my son's concepts got clear...I am an engineer..thanks to lock down got to learn these basics ...which I found very difficult during my school days....😂😂😂😂..thanks to you and internet....who made it so easy to learn
Thanks for liking. i appreciate your comments
Thanks sir helping me in maths in lock down 🙏🙏🙏🙏🙏
Most welcome
Tq....sir for long time I am searching for thiz
Great to hear that it's useful for you :)
FOR ME THE BEST TH-cam CHANNEL IS THIS. VERY NICE EXPLANATION. THANK YOU, SIR.
You are most welcome
Ur teaching is osm ...Sir
Thanks and welcome
Sir your video is in super simple words , I had lot of issues in this chapter , but after this video I can now attend the A.P questions in EXAMS .
Thank you very much sir
🌹🌹
The way of teaching is absolutley fantastic.try to do all subjects