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##### I have started this blog to share some Mathematics e.g. solutions to CSIR-NET papers, Math GATE papers etc. So follow this blog for regular updates.

### I have given full solutions to the questions asked in CSIR-NET papers, but before you see those solutions you should attempt the questions yourself if you want to learn Mathematics. Otherwise this is never useful to you.

##### Also I hope that YOU will also share your solutions or alternate solutions with all either by commenting on this blog or by E-mailing me.

##### Currently I have posted the solutions to Math CSIR-NET exams in parts.

##### The question papers are available here: June 2011, Dec-2011 .

##### More on the website csirhrdg.res.in

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Hi sir, thank u for ur help. I got codifence to clear the paper only after seeing ur webpage. I would like to inform that csir has released answer key for june 2012 in http://www.csirhrdg.res.in which will be available till august 14 th only. Hope this will be useful for u to help us further. Thank u again sir. Regards, kala.

Question 26 is wrong in booklet A of June 2012. So if I choose any of the four options, shall I get the marks?

Marks should be given to all students by CSIR,

I think this will be clear if CSIR upload the Marks Statement as they did for december 2011 exam.

sir will u upload solution of gate papers also

i will try …..in the future.

Sir please upload the complete solution of June 2012 part C…..

thanks sir,you helped me a lot.

Q84(net june-2011): A subgroup K of permutation group Sn is normal if it contain complete conjugate class of Sn,and you can see K contain complete conjugate class of S4 and A4.so K is normal in S4 and A4. Also for a finite group a subgroup is normal if [K ,H ] =2 and [K,H] =o(K)/o(H) =4/2 =2, therefore H is normal in K. So option 2 and 4 are correct.

Also H does not contain complete conjugate of S4 hence H is not normal in S4.

(conjugate class is number of different types of cycle in a permutation group)

is statement of Q96 june-2011 correct?

I think the value of u(x,x) is missing in that question.

Also I request you and all other visitors that post ur comments in the related category i.e. comments related to june 2011 should posted in ‘Sol CSIR NET June 2011’ category.Thanks.

plz sir upload solution of june 2013

sir i have filled in the form specialization code pure mathematics can i attempt questions from statistics in part c unit IV in exam

I think yes …… there should be no doubt in this.

please give answers for dec 2011 csir

i would lyk if some1 do the same wit chemistry tooo

Hello Sir,

I came across your blog and is is very useful. I would be very thankful to you Sir, if you kindly send me(bcskal@rediffmail.com) the PHYSICS question papers of last 3-years of CSIR-NET exams with answer keys. Thanks.

The set (0,1) X [0,1] contained in R X R is

(a) open set

(b) closed set

(c) Connected set

(d) Campact set

Kindly answer the question

ans is c – connected

Sir,

To which books i refer mathematical science for csir net

mathematical analysis:

Algebra:

Complex analysis

Topology;

PDE

Kindly needful for us,i need your help sir

awaiting reply,

This is my choice….urs may be different….as ‘everyone is unique’…..best of luck

real analysis……1.malik & arora

2.bartle & sherbert

linear algebra…..1.schaum’s

2.hoffman & kunze

abstract algebra…1.herstein

2.gallian

complex analysis…1.brown & churchill

2.schaum’s

differential eq….1.ross

2.m d raisinghania

topology………..1.simmons

2.munkers

linear programming……any book.

Hello sir,

Which institute’s study material you will recommended for reference.?

I can’t tell anything about this…!!!

Prepare urself…………Practice the questions…..that’s it.

Kindly send the solution of Dec 2012 CSIR NET MATHEMATICAL SCIENCE.

your kind cooperation is solicited

Sir,

Kindly give the solution of June 2013 CSIR NET mathematics science.

My Email ID :

towfeesharik@gmail.com

How to attach mathematics equations in leave a Reply column. Kindly reply

its not possible exactly…..u can write it in words or u can e-mail me the word file…

plz,suggest book for paper 1

paper 1…?? I think u are asking about part-A. Mostly the questions in part-A are from basic math of 9-10th class. U can refer any standard book of NTSE level but keep the type of Qs of CSIR-NET in ur mind.

thanks sir

sir plz,post the sol.of dec.2012 part B and C….

i have complete solutions of last 5 papers of csir mathematics and solution of Dec 2012

also any body who want can contact me .its free of cost .

Hi sumit

Can you send the solutions of last 5 papers of csir mathematics and solution of Dec 2012 as you said in this blog to the email given below

Kumar

plz,send me solution of dec2012

Respected Sir,

as per mention above if u have solutions of mathematical science solutions then please sen me on my email id yogesh12384@gmail.com.

hello sumit..

i also want the solns u are saying about..pls if u can..how to contact u?

hi sumit

pls send me solutions as u mentioned above at jass_989@rediffmail.com

Respected sir,

I am Kishor reddy,

I am preparing for csir mathematics.

Please,send solutions of last 5 papers of csir mathematics and solution of Dec 2012.

And can you send to my email?

If not possible,please let me inform that how can i get these solution?

My email Id: kishorreddy18@gmail.com

Cell no: 09490336103.

Please help me.

Thank You

Hi Sumit, I m also preparing for Csir Net. Could u provide me the solution of last 5 years.

thank u sir can u pls kindly send dec 12 solution for me

sir,

Can you send me the solutions of last 5 papers of csir mathematics and solution of Dec 2012 as you said in this blog to my email id given below:

ranaformath@gmail.com

or,

ranaformath@rediffmail.com

Respected Sir, I want to the solution of mathematics CSIR NET Dec 2012, Jun 2013 & Dec 2013 so plz mail me the solution copy of these 3 years solved papers.

Can you mail those solutions to my mail id, “vijayprakashrasu@gmail.com”.

Hi Sumit,

Although i am awfully late but still can u please send me solutions to last five year’s csir mathematics papers, as you have mentioned.

Thanks in advance.

Dear Sumit

Can you send the solutions to the email id kkumar72@gmail.com.

Kumar

hello sumit please send the solutions to me also my id is ravindra_sen13@yahoo.co.in

If S= { (x,y,z) \in R^3 : ax^2 + by^2 cz^2 = 1 , } then

(a) compact and connected set

(b) neither compact nor connected set

(c) compact but not connected

(d) connected but not compact

Answer ?

Hello sir,

plz tell me solution of que.81 june 2011 and que.82 june 2012 (complex).

Respected Sir,

as per mention above if u have solutions of mathematical science solutions then please sen me on my email id ……………natasha_jld@yahoo.in

Hello sir,please send me solution of last five year papers of mathematics ugc net on my email id – anju.pardeep25@yahoo.com

union of two fields is again a field? if no give example..

Can anyone provide me some materials for preparing net exam in mathematical sciences….????……my email id is nabajyotidutta961@gmail.com…..please send….

kindly send me any materials in mathematical sciences which will be helpful for me for the coming CSIR NET Exam dec 2013..actually i am a little bit week in Abstract algebra in terms of solving problems but other papers is ok. plz send me materials whch do u think helpful for me..

my E-mail id is

pritamchetry76@gmail.com.

PLEASE HELP ME..

thanks….

Sir,why r u stop ur post.,.??.plz continue sir…

This is a most usefull site for us….

u r wright Nabajyoti.

yes pls continue sir

I will come back…Soon….;)

sir plz send me physics csir dec 2013 answer key and paper

sir please send full solution of december, 2011

Hi sir , please help me.

Let V be the set of all bounded solutions of the ODE:

u′′(t)−4u′(t)+3u(t)=0,t∈R. Then How can we prove V contains only the trivial function u≡0.

Net June 2012 question number 42 in code A

sir,

please send me dec 2013 maths csir solutions

sir,

how to prepare csir net in maths?

Respected sir….

Pls post the answer key of june 2014….

A very useful blog for those who are preparing for csir net mathematics.

sir please post the solutions for dec 2013 and june 2014 exams

sir i want solution of dec-2013 maths ….please help sir..

Respected sir, When will you publish the key answer for Dec 2014 net?

Respected Sir, Thank you for solutions and suggestion.

I also tried to write solution of some questions here http://csirmath.blogspot.in

I will be grateful if you review the solution.

Its great… Nice explanation… Very good questions.

God bless you.

Thank you sir.

Can you tell me a good place/book to practice Part A questions. I can solve in the comfort of home but needs practice for the exam.

Find the eigenvalues and the characteristic vectors of

t1 : R x R –> R x R : (x,y) –> (2x – y, 0)

t2 : R x R –> R x R : (x,y) –> (2x – y, x)

t3 : R x R x R –> R x R x R: (x,y,z) –> (2x – y, 0, y +z)

t4 : R x R x R –> R x R x R: (x,y,z) –> (0, 0,y)

First, we calculate the eigenvalues r of t1

The characteristic equation is

|2-r -1|

| | = 0 -r(2-r) = 0

|0 0-r|

The eigenvalues are r = 0 and r = 2

For r=0 the characteristic vectors are the non trivial solutions of the

system

2x – y = 0

0x +0y = 0

The characteristic vectors are all the multiples of (1,2).

For r=2 the characteristic vectors are the non trivial solutions of the

system

2x – y = 2x

0x +0y = 2y

This system is equivalent with 0x + y = 0

The characteristic vectors are all the multiples of (1,0).

You find the eigenvalues and characteristic vectors of t2 in the same way.

Next, we calculate the eigenvalues r of t3

The characteristic equation is

|2-r -1 0 |

|0 -r 0 | = 0 (r-1).r.(2-r) = 0

|0 1 1-r|

The eigenvalues are r = 0 , r = 1 and r = 2

For r=0 the characteristic vectors are the non trivial solutions of the

system

2x – y + 0z = 0

0x +0y + 0z = 0

0x + y + z = 0

This system is equivalent with

2x – y = 0

y + z = 0

The characteristic vectors are all the multiples of (1,2,-2).

For r=1 the characteristic vectors are the non trivial solutions of the

system

2x – y + 0z = x

0x +0y + 0z = y

0x + y + z = z

This system is equivalent with

x – y = 0

y = 0

The characteristic vectors are all the multiples of (0,0,1).

For r=2 the characteristic vectors are the non trivial solutions of the

system

2x – y + 0z = 2x

0x +0y + 0z = 2y

0x + y + z = 2z

This system is equivalent with

y=0

z=0

The characteristic vectors are all the multiples of (1,0,0).

You find the eigenvalues and characteristic vectors of t4 in the same way.

Dear Sir ,

can u provide me the complete solution of any previous exam on my emailid

Sir, please send me csir net december 2011 mathematics paper answer key…

Please sir send me as soon as possible