PYQs on Countability | CSIR NET 2011 to 2023 | Short Cut Tricks

[@arjujawla8425]

Very helpful.... Keep it up...

[@pwn850]

This is very helpful and enjoying session to understand cordinality topic

[@NomNomHaokip]

amazing content sir

[@puremathematics2271]

Outstanding sir.....very helpful sir❤

[@kumardillip4505]

It's amazing ❤❤How can you explain all the questions easily? Best teacher ever... Please continue....

[@SaifAbbas-c9p]

Grate work sir

[@Hasnainmaths]

first view awsome sir thnk uu so much💗💗💗

[@madavsharma9253]

Very helpful vedio

[@mathematicslovers2888]

Very nice vedio sir🎉🎉🎉❤❤❤

[@samikshajakhar]

At 39:22 ,sir plz check ...4th option because continuous function maps interval to interval.Also inverse images of open set is open & inverse image of closed set is closed but direct images need not true.

[@DrHarishGarg]

Yes, it is correct.... Only inverse image is open. . please rectify.

[@charitylyngdoh8912]

Thanks a lot Sir

[@ruchithakur4381]

This is very helpful thank you so much

[@ratanprajapatirp3529]

Thanks you sir aap great ho

[@mystory5438]

Amazing work and Thank you so much sir , I learnt so many concept from your videos 🙏🙏🙏

[@pusplatasahu5738]

Nice session....❤

[@kindykomal]

thank you so much sir 🙏🙏🙏

[@SurinderSingh-oi1db]

Thanks sir yu make easy for us ❤

[@KalpnaDevi-xc3gx]

44:00 the cardinality of R and R^2 is same and there is bijection map

[@ShivamKumar-rf1vf]

Very thank you sir अब मुझसे भी question solve होने lga hai again thanks sir

[@DrHarishGarg]

बहुत अच्छा लगा सुन कर... ऐसे ही देखते रहे और सिखते रहे वीडियो से.. एक दिन सफ़ल्ता कदम चुमेगी..

[@himanshusoni2374]

Great sir everything you taught is just amazing. Sir I think only point set topology left by you,then you cover almost the whole syllabus. So sir please make video on that topic so it will help us a lot.

[@anithagandhi3163]

1:16:49 how the second option discards. The union of an uncountable set is uncountable!

[@Abhay0505]

The product is countable as it's product of finite sets

[@MohdAasif-mf8tu]

1:20:39 sir cardinality of any power set can't be countable. Cardinality of a power set can either be finite or uncountable

[@KanchanKumar-kj]

Finite is also countable

[@Indigenuos]

Absolutely gorgeous lecture 😊

[@triptikumari9020]

Sir complex analysis, linear algebra and real analysis me jo important hai csir net k liye, please upload video

[@pravinkamble2757]

Already uploaded....kindly visit the channel

[@gurpreetvirdi9266]

Kha se preparation kr rhe ho aap?

[@Facts_Videos_7M]

Very very nice explanation sir ❣️thanks Sir 🙂 Your videos give me lot of confidence.....

[@ritutiwari4687]

Nice explanation sir

[@MohdAasif-mf8tu]

Sir at 1:34:00 how can iii) option be correct because we are not given P(x) to X but rather between P(X) and X, so it can be true in ist case which implies iii) to be incorrect

[@GovindKumar-qz4yc]

Super duper sir ❤❤❤❤

[@Gauravkumar-kj4qx]

Excellent

[@PIMMATHS]

Good video sir

[@GovindKumar-qz4yc]

Jo Bach ja rha h ❤❤❤ sir use v upload kr dijiye plzzzzz and you are the greatest mathematician 🎉🎉🎉🎉

[@Radharanilove-y5d]

Thanku🎉...very good vedios .

[@santhoshkumarikumari8591]

🎉🎉🎉🎉🎉🎉❤❤❤❤❤thank you sir

[@tanugupta5215]

thank you sir.. plz upload some more pyq on important topics..

[@manimala-yz9tj]

Very helpful sir

[@Diksha-eu4tg]

Thankyou very much sir for your efforts 😊

[@sanjitha_dhivin]

Sir in 1:36:00 they are asking for countably dense subset.,irrationals are uncountable.

[@basharatmalik3005]

I also have the same query. I think we can make countable set like c=Q+alpha

[@shifakhanam6298]

Thank u sir🎉

[@RanjangamingYT7477]

1:33:39 a,b,d option correct because x to p(x) me dakna ha

[@himanshusoni2374]

So helpful

[@priyapandit851]

Thank you so much sir very helpful

[@ishadevi2071]

Thnku so much sir😊

[@positivethoughts6419]

Thank you so much sir for uploading this video 🙂

[@ajlankp8340]

Sir, your videos are really useful. Can u do pyqs like this for Statistics. It will be a huge help.

[@DrHarishGarg]

Many are already uploaded... check at my channel

[@is_math_hard]

50:47.. I think co domain of f is R as it is mentioned as real valued. Y is the set of pre images of 0 by f

[@Justyourkaran]

Sir at 9:47 in this qn can't we get infinitely many values of a,b,c in choosing different values of alpha,beta,gamma? Like you chose a specific case (1,0,0) which gave singleton, can't there be more possible alternative values to solve this qn? Kindly clarify. Open to understanding.

[@Zeelkumar31]

If u open the p(x) in set S u will gate uniqe value of abc zo that cardinality of Set S is 1..!!

[@DKPatel-ql1wj]

44:44 Sir, cardinality of R and cardinality of R^2 is same . So option C is correct.

[@RanjangamingYT7477]

R^2 to R me kya injection map possible ha ?

[@DreamBig-lk7fp]

Sir linear algebra full lecture marathon with concept clarity

[@SauravSinghal-mi1xg]

Sir (1) f(x)=x^2 on (-1,1) image =[0,1) not open hence every cts map does not map open to open (2)how cardinality of R and R^2 different

[@mshambaphomphom8229]

Thank you sir❤

[@n.k.7825]

Thanks ❤

[@Anjali-vo5en]

At 1:36:22 how are you jusifying countability of Q^c (set of irrationals). It is uncountable.

[@shwetabharti7263]

Yes it is uncountable..

[@Pbt656]

Yes

[@shreedhark6893]

Kindly explain the concept of cauchy integral formula and residues, poles of function in detail with gate ,net and jam problem 🙏🙏

[@DrHarishGarg]

Already uploaded... Check PYQs on Residue, PYQs on complex integration lectures etc at my KZbin channel.

[@ItsMysteriousgirl]

Thank you sir 🎉

[@positivethoughts6419]

Sir in last second question option c is right.. because w,X,Y, has cardinality C but Z has cardinality C^C

[@PujaJangra-jx6eg]

Sir please make video on continuity and differentiability

[@TinaMor-xu8zg]

sir 1:35 p question h jisme disjoint subset dundne h jo dense ho but vo saath m countable bi hone chaaiye to aapne irrational ka set kyu consider kiya usme???

[@itsyourdev5143]

Please upload more video

[@RanjangamingYT7477]

39:24 c Option nhi hoga kueki R is open but unit circle is not open Only d option correct 😊

[@is_math_hard]

45:48.. Dec' 2020 Sir cardinality of R and R×R are same.. you put cardinality of R×R as c^c it should have c^2.. CAN YOU PLEASE VERIFY ONCE

[@Shreya-wq2rc]

Ya I also think

[@ManishaSharma-lm1zl]

Thankyou sir

[@sakshibajpai4027]

12:00 sir in this question in option 1 p and q belongs to N not Q, so may be its uncountable

[@TinaMor-xu8zg]

sir 1:28 p jo sum h usme vo cardinality 100^100 kaise hui sir???

[@SauravSinghal-mi1xg]

Sir every continuous map open ko open pe kaise map kr skta h?? Counter f(x)=x^2 on (-1,1) image = [0,1)

[@ritu0153]

How can underroot of a no is rational no if this no is not perfect square

[@manmohan_sahu]

Sir please upload some videos related to statistics

[@DrHarishGarg]

Already uploaded many and topic wise also

[@dreamgirl61196]

39:24 in fourth option domain is compact set but {0,1} is not compact... So the answer is c only. Why d sir??

[@RanjangamingYT7477]

{0,1} is always closed and bounded, So, compact hoga

[@dreamgirl61196]

@RanjangamingYT7477 closed interval [0,1] is closed and bdd. But this is points 0&1. How it is compact? I didn't understand 😇

[@RanjangamingYT7477]

@@dreamgirl61196 bounded and limit Point phi hoga

[@ritu0153]

√(1/n^2)-x^2 is really a rational no if this no is not perfect square

[@PIMMATHS]

ase or video for other topics

[@sarikakabira8075]

Sir plz provide pyq series on abstract algebra

[@ronneysaini7763]

Sir ka domain nahi h yeh subject.. Kitne bar bola to h sir ne

[@focus7477]

45:46 D is wrong answer. There do exist bijection ftom R×R to R.

[@JobswithEducationVideobypk]

Upload video all topics Real analysis

[@priyankapriya1505]

Wow

[@ninjagamer_28]

🎉thank you sir ji please upload remaining concepts based video for csir net

[@basharatmalik3005]

Set of irrational is countable or uncountable?

[@anishapatel8392]

Uncountable

[@celinfionaj4696]

Sir please take singularity residue topic for csir pleaseee

[@MohdAasif-mf8tu]

1:36:20 how can all options be correct, because it's given that each if which is countable. Sir I think your answer isn't right there

[@raghunath6548]

Yes , set of irrational numbers is uncountable

[@Shreya-wq2rc]

Sif pls clear one thing about cts direct image of open closed may not be open closed

[@DrHarishGarg]

Yes, it may not open.... Only image inverse is correct.

[@Shreya-wq2rc]

@@DrHarishGarg ok...thanks sir...for clearing it.

[@anitakaushik-be8mo]

Sir u r telling if f cont then open set ki image open ,closed set ki image closed ,connected ki image connected or compact ki image compact ....but sir open & closed k liye to inverse image valid hoti h ...direct image thode hi ...correct me if m wrong ..

[@Siyagupta52]

Yes u are right

[@educationteam2089]

Continuous image of connected set is connected and continuos image of compect set is compect hota h

[@educationteam2089]

Yha R me interval connected hote h isliye ye use kr skte h

[@prabu3232]

Abstract algebra short cut csirnet Dec 2023

[@ronneysaini7763]

Sir ka domain nahi h yeh subject.. Kitne bar to bola to h sir ne

[@jkmathematics..jitendrakoh8557]

X is countable or Y is uncountable hoga sir right ans

[@imtiyazansary]

Sir at the very beginning you say that if f:A to B is 1-1 then |A|

[@renudabas2011]

Sir plzzz Hindi bhi use Kiya kro

[@ma-38ankitkumarupadhyay97]

Thoda sa sahi padaya kro Galat salat concept bta dete ho

[@ShikhaSaini-zz6yb]

Sir please explain in hindi

[@tanugupta5215]

LPP

[@Justkiddingbutuknow]

In 10:03 for different choices of alpha beta and gama different (a,b,c) we will obtain then how is the set s contain only one element

[@DrHarishGarg]

Dear ... Kindly read the statement again ....Remember..We will always get unique a,b,c for choices of alpha, beta and gamma..... Thats why

[@Justkiddingbutuknow]

@@DrHarishGarg thank u sir for solving the doubts. You're a life saver ❤️

[@shrawankumarpatel2148]

Thank you so much sir🙏🙏🙏🙏🙏

[@LearnwithDrYadav]

Very helpful sir

[@Manish-uq5le]

Thanks sir❤

[@pramindakoijam7251]

Very helpful sir