NCERT 12 Maths Ex 1.2 Ch 1 Relations & Functions hints and solutions

This video explains hints and solutions of the questions of exercise 1.2 of chapter 1 relations and functions of ncert 12 maths.
Questions are solved at following timing:
1 00:01
2 08:24
3 17:42
4 23:44
5 31:52
6 37:12
8 37:42
9 40:50
10 51:00
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[@koolshadu3578]

Sir yeh toh aapne bilkul sach kaha Question no.4 k bare main.... K yeh toh NCERT Ko b pata hai k humne 11th ki classes bunk Mari hogi.... Sir thanks for your efforts.....

[@antarghosh2168]

yoo

[@bhojpuri9572]

Shi bat 🤣

[@MAYAM4W]

11th ki class bunk nahi bhai hamne to puri 11th hi bunk maari hai because 1st year is rest year

[@khurshidakhatoon3413]

Absolutely correct😁😁😁

[@chandraprakashsahu1016]

Ha yahi toh baat

[@Om-ns7oh]

10:20 for how to cover your mistakes like a pro😂. Ly sir❤️

[@anmolstar707]

😂

[@tadamada1049]

😂

[@ruovitseikha]

I'm impressed how he can react quickly to that kina stuff without a doubting expression 😂😂

[@Om-ns7oh]

@@ruovitseikha ikr?😂

[@pankajpj5478]

27:16 pe bhi

[@swastikasom]

Your channel is the best. Not taking tuitions for 12th class . I'm totally dependent on your videos now.

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How u get? Di

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how many mark you get di????????

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@@shivanirajput7522 sakal dekh ke laag rehe hai fail ho gai😂😂😂😂

[@justforfun7058]

Result?

[@anantpandey7052]

@@alpha_gamer8849 toppers ke paas ache looks nhi ache results hote h jo wo apne ache dimaag se laate h. Thanks have a nice day 🙏

[@ruovitseikha]

37:15 I turned so serious when he said it was a difficult question 🤣

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@@hemlatagupta1213 aapke jaisa jhand nhi dekha..

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I was posting same comment but saw yours .. Thaň

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😂😂😂

[@joshuadavid3594]

dude.. .y i sersly thought it was a difficult one..

[@jeestudent6758]

@@gouravp.3851 kya likha tha us chutiye ne

[@yashisharma4588]

Sir, you are a great teacher you really cleared all my doubts during this lockdown issue...thanks a lot ♥️

[@DipakKumar-dy4qj]

Thank you

[@DipakKumar-dy4qj]

@Deepak Singh Sikarwar yess

[@DipakKumar-dy4qj]

@Deepak Singh Sikarwar ok buddy

[@anandpai6768]

Same here's

[@yashisharma4588]

Yes

[@sahil0157]

Sir i love ur dialogue 'check karlo' 😂😂

[@cristianoronaldo6610]

Sir i have first seen your relation and function veido of class 11 and after that i watched your videos of class 12 and i usually used to be the person who was very afraid of this chapter but now i have became a little bit pro in this chapter and i enjoy when i do the questions of this chapter ,🙏🙏🙏♥️

[@vishakhasingh3415]

Feels like I am sitting in an offline classroom. Though I can't interact with you, this session feels so interactive. This is magical sir. Respect💯💯🙏🏻

[@Bgmigaming9612]

Right 👍👍👍

[@rockkmusic6070]

Q.no-4 me f(x)=|x| hai, to fir x

[@zaamin2003]

@@rockkmusic6070 if x is negative then -x becomes positive because x has its own minus and then we apply the minus from the function, and since minus minus is plus we get positive value of x ie mod x

[@SMAcademy226]

*Sir you are a true inspiration for me . I am also a lacturer in mathematics & i am watcing all ur videos from last 2 yrs after watching all your videos i have also decided to open a youtube channnel & share my knowldge to students thank you so much sir*

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5:05 Headphones RIP😂

[@LifeisLearning]

37:12 bahut hi khtrnaak question

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Ha bhai 6 mark ka..... Soch..... * slow clap *

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sarcasm

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Hahaha

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🤣

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@@pankajkantinath1904 free ke no. bat rahe....

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first time saw a person saying dislike if you did not like the content . salute to your dedication sir

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Yes true

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10:20 dhool jhokne ki ninja technic 🤣🤣🤣

[@bishalroy9316]

Sir aapki teaching style excellent hai👌👌👌......sir aapke video se mera sab doubt clear ho jata hai😊😊😊 Thank you so much sir 🙏❤️🙏..... I am very grateful to you sir🙏🙏🙏🙏...... You are the best teacher in the world......

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EVEN NEW VIDEOS CANT BEAT THESE ....... LITERALLY OLD IS GOLD ..... RESPECT +++++ FOR SIR

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You are amazing sir, literally clears each n everything...🙏🏻🙏🏻🙏🏻

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10:10 Top 10 anime betrayals 🐥😭

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Anime matlab?

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Anime ke bare me jaankar tu kaunsa Elon musk ban gya hai bhai😂

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Anime is not just about hentai it's much more😎

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I watched 986 animes and 186 manga readed you noobs

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Thankyou sir. Clear my all problems 🙏🙏

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Who is feeling this is helpful in this lockdown just like me✌️✌️

[@hkempire401]

अब ईसके बाद कोई हमारी आँखो में धुल नहीं झोक सकता

[@saharanpunit7701]

Watched sir for first time. U are totally amazing sir. Your teacher method is beyond imagination. Thank u so much sir for your good explaination

[@shreyaspathak2755]

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Not true

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ya to english me likhle ya to hindi me likhle

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love you sir what a teaching i am struggled by searching a videos of 12th but finally i got a good tutor of 12th std i will share to all my friends please dont stop uploading keep making videos on all topics you are doing good job sir

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Number kitne the

[@teachertilakseoni3795]

this videos helped me a lot ..thankyou so much sir .my all doubts were cleared..ur teaching way is amazing.

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37:36 Thug life!! 😎😎😎 Sir u are awesome!!!!!!!!

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sir, you are doing a great job for every student who can't get coachings. also, your concepts are too clarified for everyone. thanks a lot, sir.

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I really love your way of teaching. You are great sir. Main hamesha se hi ek lecturer se padhna chaahti thi aur is lockdown ne meri tamanna poori kar di. Thanks a lot. Main bta nahi sakti ki main kitni khush hoon.

[@werzaqxswcdevfrbgtnhymjuki8681]

50:49 catch dropped by sir

[@MukeshSharma-yc9ec]

😒😒

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Sir you really rock the functions n i enjoy your rock and understand everything each and every corners THANK YOU SIR UR ONE OF A KIND...

[@sayanbiswas1794]

KZbin pe sir ap he ho jo 12 maths free mei para rahe ho Thank you sir🙏

[@anjubala9293]

Sir na jab Q NO.9 ma onto prove kia tab ham waha sa yh bhi prrof kar aktae thay ki function one one nahi ha balki many one ha?

[@srs86]

Sir i have a doubt that in the last question aapne kaha ki Q10 jo hai voh onto hai par aaisa kaaise ho skta hai kyuki agar hum function me koi bhi negative value rakh rahe hai toh voh positive arahi hai . Aaise toh jo R-1 set hogaa uske toh saare negative numbers choot jayenge phir yeh kaaise onto huya . Plz tell sir.

[@srs86]

Sir plz tell

[@srs86]

Anybody tell me ??

[@ayushsharma4036]

Thank you sir ,.......I have no words to express my emotions for you sir, Because you give me the good way to understand the mathematics...

[@benjaminms3327]

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Chup lag na pls

[@benjaminms3327]

😂😂😂

[@yuktisaini5085]

thankyou sir for explaining all these questions. before watching videos these Questions were headache but now they seems to be very interesting. you made this concept too easy to understand. thankyou sir

[@pksahoo5043]

Let A and B are two sets. Show that f:A×B-B×A defined by f(a,b)=(b×a) is a b bijection.

[@karthiksuryaarasan4736]

Next month I have final board exams...sir helped me a lot...thank you sir

[@riyashetty6790]

How much did you score?

[@sharmaharsh8498]

@@riyashetty6790 agle mahine message krna fir batata

[@Hey-dz3ce]

10:19 best way to prove ourselve great even if u were wrong. 😅😂😅😂😂🤣😅😂🤣😂

[@umakantprasad687]

Sir aap bht acche ho. Dusre channels ki tarah aap videos upload krna nhi bhulte

[@Mahakal-g1]

Sir, u explain everything very clearly Thank U sir, your videoes r very helpful during lockdown.💯💯

[@suchitakumari8138]

Sir your video s are very helpful in my studies , but 1prblm is that sometimes you write too small and I will not able to even see Please write little bit big

[@royalclasses_since_2010]

I am also a maths teacher still I am watching your video sir. Such a beautiful explanation

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sir you're truly amazing ! we're glad to have teachers like you in our country :)

[@goatsidd]

Bro, aaj kya karte ho ?

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Good teaching method. I like it. 👍👍👍

[@anmol3749]

37:35 is the best part.....😂

[@shreyashsubhankan76]

You are the best maths teacher that i can ever seen in my ....🙏🙏🙏🙏🙏🙏

[@aman6216]

10:20 sir aap meri aankhon me dhool nhi jhok paaye😂

[@bhavyachampaneri]

Me too

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Same bro😂

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Sir.. you are one of the best teachers, you have cleared all my doubts.. tq so much sir..

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i feel like watching movie,lol.good way of teaching.

[@kumarsaurabh3959]

"Ab apki aankho me koi bhi dhul jhok skta h" 😁😁😁😁👌 nyc video sir👌

[@pearlemrald5988]

sir plzz also solve some difficult problems of RD Sharma it will be very useful

[@Mahadevkikrupa]

This is not difficult??

[@SJ-ic4yr]

Sp gaming it’s easy

[@tarunagarwal8799]

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[@swasthikks5755]

i think there is recording problem y is 450 p coming like 360 p please make sure that you ll look into the problem

[@priyanshupadhalni9683]

hi, it's been 4 years since your comment. you must be in college, right? so from where are u pursuing your studies?

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you r d best teacher.. thanku sooo much for teaching us.

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I m also one of the best, waana get taught

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[@ghoul1522]

24:03 sir spittin' fax

[@manvaa159]

sir jaha onto nahi hai vaha ye likh sakte hai [as every element of codomain does not become range therefore it is not onto ] like in q-3 ,4 etc

[@themobilegamer318]

awsom teaching sir thank you very much

[@priyankadeshmukh7225]

Ur way of teaching is great

[@utkarshsharma408]

10:36 sach me dhool jhonk di sir aaapne

[@AjayKumar-xo5ww]

meri aankh mein nahi jhonk paye... mujhe laga galat pdane lage..... mein vdo band karne wala tha...

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You are understand feeling of student sir ji🙏🏾🙏🏾🙏🏾🙏🏾🙏🏾🙏🏾🙏🏾🙏🏾

[@rukhsarreyaz4636]

hello.. thanks for such a great video ..all topic cleared which were left by my teacher..now sure I can make the question in exam of this chapter..

[@Ankitsharma-kd8wq]

Atleast write a proper sentence.

[@kavitasharma409]

but how

[@kavitasharma409]

you lame

[@kavitasharma409]

thank you

[@ritiksingh2535]

How sweet

[@pawani_mishra1177]

Sir thank you so much.... it's really helpful 😊😊

[@Prashant_Shukla_available]

Sir, you are best teacher but sometimes in your class I don't understand what should you do .

[@manish3112]

At 10:15 you can consider x to be negative as function is defined N--N so it is injective

[@VISHALSINGH-jb3hf]

sir, I have a problem in question 4 .you said in this video that any value in modulas is remain positive but it is clearly written in the question that if x is negative then modulas will also be negative. For example x=-3 but modulas of -3 will also -3 according to question.

[@surajsapra7407]

It doesnt mean that. It just say that when x is less than 0, the value inside modulus is neg but the value of modulus will remain to be positive irrespective of the value inside.

[@dhirajx]

never enjoyed maths so much as in this video. amazing

[@rahulkaushik2513]

Thank you sir you helped me a lot in understanding the basics very clearly.

[@musicworld5638]

Thanks beta

[@aaryangupta1868]

-28:36 The only teacher who'd say that Dope sir👍🏻👍🏻🙏🏻🙏🏻

[@aaryannayak2333]

Sir in question number 2 5 th part how the function is one one as it is Z->Z In this question it can be said that x1²=+ or - x2²

[@vardayinisaxena8460]

Consider a function f:[0,π/2]to R given by f(x) =sinx and g:[0,π/2]to R given by g(x) =cosx. Show that f and g are one one but f+g is not one-one. Sir please explain this question also

[@nishachauhan7693]

Thanks Sir... I like Your teaching style...

[@vidyawiseofficial]

Thank You Nisha Chauhan

[@AviSanX]

@@vidyawiseofficial sir aapne 7th question skip kar diya 🤣

[@creativespot8310]

Sir I wanna only say u that in question number 1st जब आप second part krrahe हैं तो आपने codomain में 0 को भी लिया है But as it was given in the question that R* is the set of all non zero real numbers To is hisab se 0 nahi aana chahiye Kindly reply sir👍

[@aaryangupta3138]

sir, please tell me one thing that preparing ncert for hbse is enough for good marks or we have to prepare R.D. Sharma, Elements and many more...

[@aishwaryaaishwarya4185]

S

[@samhithbeeravelli9412]

whats the meaning of 's'?.....miss aishwarya aishwarya

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@@samhithbeeravelli9412 she is doing showoff and showing attitude, girls are lyode

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@@jeestudent6758 um? how?

[@jeestudent6758]

@@ishitaaaasati3760 sorry

[@kavitaseth1017]

Sir ur teaching is appreciable..👍😊😊sir but I want to make one request.. plz try to write little bit clearer and bigger..

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Great teacher thank 🙏💕u sir

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Sir your two ways thinking or assuming children point of view also help all of us a lot

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Sir,your teaching style is amazing.

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Bikash Bhowmik h

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Ur way of teaching deserves salute

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[@Nitin_khan0]

Thanks Guruji for a good knowledge 🙏🙏🙏🙏🙏🙏

[@yashwardhangulati4314]

Sir seeing your video makes this topic like nothing its very easy to understand .....THANKYOU SIR FOR YOUR EFFORTS😊😊

[@eooms]

Thank you sir Aap logo ki wajha se ham bache hue he warna school me to tution gardi chal rahi he

[@neelampandey1718]

30:19 Sir question 4 me usne kaha ki agar X negative hai to uska mod -X aayega....to sir codomain me negative number kyo nahi ho sakte?!?

[@hkhiteshkumar70]

Same confusion

[@KunalSingh-lq2mt]

Mod nahi, mod ke inside -x aayega if x < 0

[@Sumitkumar-qn8my]

First u should check function as codomain is always address by function f(x) and here f(x) = lxl that mean not even single number can be negative

[@archanasuman6095]

Thanks Sir such ka great teaching but please I have one request for you... Sir pls make veido on Rd sharma and r s aggarwal which help us in iit jee exam. ..i hope you understand my problem. And I think u reply on my comment ...soon ☺

[@ncchauhan6515]

Sir your videos are not much clear please try to make the videos in high quality rest everything is superb thankyou😊

[@tanuambia7096]

sir in the second question's 1st part, can't we square root both sides and then cancel the square power which would give us x1=x2? This would prove that the question is injective?

[@lonevibes8824]

This would prove that x1=+-x2 But as negative is not possible in natural numbers so it's going to be x1=x2 at last So i think we could use that to prove invectivity

[@HabiburRahaman-sp2wb]

16:35 I was startled for a moment by hearing his English accent.😂

[@fatimahpaul4844]

Hahahaha....same here I was looking fr this cmnt😂

[@ampkr8320]

Very Big thanks to your sir dil se, I was very nervous when my 10th class's student asked me to teach her sister.. who's in 12th class but with the help of your videos i was, able to teach her properly and already had completed 2 chapters i.e. matrices and determinants and now i m proceeding with this chapter! Much gratitude and respect to you sir :) Stay Blessed!!

[@anuragkumarjha5637]

8:54 Feel 😂

[@poojanagisharma2513]

Thanks sir for your effort! Really appreciate it! God bless you!

[@manojmuddapur2430]

At 9:44 this answer in ncert given as it is injective

[@lakshmibisht8111]

Sir you are the best teacher 🙂😎😎field of mathematics 😎

[@meyash8461]

Okay so this is the best thing ever happened on KZbin! I suck at math and been avoiding it from so long as you can see I'm here after half of the semester is over but I'm kinda starting to like maths again and credit goes to you. Thank you for helping us out 🌸

[@kunalkharb9637]

57:44 sir please put the value of y= 3 but in set A 3 does not exist

[@nehamani3489]

sir aapka padhane ka tarika bahut aacha hai sb kuch clear ho jata hai

[@n.s.pningarajpatil1064]

neha mani. aur vo hum pe trick. Bhi Kar diye

[@SurajSingh-vj5qq]

you are best one question is solved sin3x-COS3X INCREASING DECREASING

[@siddhanttiwari6633]

Pause the vedio to note it down.......😊😊😊😊

[@dikshapandey5623]

😊😊😊

[@prateekchoudhary592]

Video

[@subodhdahiya3099]

Sir, combine some board questions also. It will be very helpful. 👍

[@tanisha1545]

relly relly ossm ...charan sparsh sir

[@AjayKumar-xo5ww]

sir kya hum exam mein sirf example dekar likh sakte hain ya fir poora f(x1) = f(x2) karke karna padega....kya dono methods mein marks barabar hi milenge agar ans sahi hai ???? plz bataeyega sirji??? bahut bahut dhanyawad :)

[@AdityaYadav-bc9kw]

Pura karna padega

[@AjayKumar-xo5ww]

@@AdityaYadav-bc9kw thanx

[@SangitaDevi-kr4cv]

I followed you and got good marks in exams thx sir for online video class.

[@romilkumar7087]

To ham kaya kara