Functions | |
In a CAT classroom or on the internet, there are two kinds of students- those who study and those who believe that they are studying but are actually not. Every time I start taking a fresh batch, it hardly takes one or two classes to identify both types of students. And it has nothing to do with intelligence or background. It has to do with attitude and fighting spirit. Every time I throw a problem in the class or post it in the forums, the students who are studying would be trying hard to solve the problem. They would
arrive at an answer, whether right or wrong. On the other hand, the students are who are just ‘striking a pose of studying’ would be waiting for me to give the answers and the solutions. They would be acting as if they are thinking hard but in reality would not be thinking at all. On the internet, I frequently see students who waste time in idle chit chat when they should be busy solving problems. They feel satisfied that they have done ‘something’ for their CAT by looking at problem or talking about CAT to others but in essence
they have done nothing and wasted one more day. “Students like these,” as I tell my serious students, “are going to fill up the CAT form to give you your 99 percentile.” One thing I have learnt from my past experiences is that you can never teach attitude to students. Either they have it or they don’t. Whereas winners focus on completing their tasks, whiners have excuses and ways of work avoidance. In TathaGat, we have a strict rule for students to submit one book review per week. And sometimes we see the book review either copied from the net or written after hearing about the content from their friends. We even have strict rule for submission of quant or DI assignments. And many students turn in their assignments half-attempted. The serious students, on the other hand, finish their assignments before time and would frequently come to me with “Sir aur material mil sakta hai kya?” There is a world of difference between the two attitudes. Where I constantly hear from the whiners “Sir aap solve kar dijiye”, I also constantly hear from the winners “Sir abhi answer mat batayiye, solve karne dijiye.” The only sane advice for the instructors in this field, who sometimes feel as frustrated as I do, is- spend 80% of your time with your winners. And winners are not the ones who score at the top. They are the ones who are fighting the hardest, whether they are weak or strong in the subject does not matter. And for students on the internet who want to do idle chit chat in the forums or engage in socializing, you would find TotalGadha.com
too boring a place. We are serious about studies here.
For our students on TG.com, we would like to share one of our endeavors in CAT CBT Club- Video lessons. Dagny and I have been tinkering with our camera and trying to make some good video lessons for our CBT Club students. We have uploaded one such video- Divisors of a number- for our TG junta. Do have a look and give us your feedback. Unfortunately, to watch the rest of the lessons that we
are making, you will have to become a member of our exclusive club. |
Re: Functions | |
Nice article TG, as usual supreme quality. |
Re: Functions | |
tg sir, i am puzzled of what category i am till now. but one thing i know for sure what i should try to be or at least try to do. and the article on function is incredible. thank you. |
Re: Functions | |
Hi Abhik, I really do not know about that but I think you (and everyone else) should read this- http://totalgadha.com/tgtown/amitkumar/2009/05/16/are-u-really-preparing/ Total Gadha |
Re: Functions | |
Hi TG.. The range of the function 1/1+root(x) has been given as [0,1] Should it not be (0,1] ? Because it can only tend to 0, but can never become 0.... Regards Veena |
Re: Functions | |
nice one |
Re: Functions | |
hi tg sir...... really this article abt to know urself that in which catagory i am, is really inspirable.........n also basic knowledge abt function is very good. thank you sir |
Re: Functions | |
it is a wonderful article !!! please discuss types of function if possible sir Sqrt(4-x^{2}) range should be (-infinity , 2] because sqrt(x) outcome is R ^{} |
Re: Functions | |
Hi Shiva, Give me one example when it is more than 2. Total Gadha |
Re: Doubt In Functions | |
Hi Shailendra, I don't see the statement you have mentioned. The case you are mentioning, I have specified that it is an even function. Where is the contradiction? Total Gadha |
Re: Doubt In Functions | |
I also have a problem visualising 3 D figures especially cubes which is hampering my speed and accuracy in mensuration to a great extent.What exactly should i do about this? |
Re: Functions | |
Nice Article...Tg |
Re: Doubt In Functions | |
Hi TG.. The range of the function 1/1+root(x) has been given as [0,1] Should it not be (0,1] ? Because it can only tend to 0, but can never become 0.... Regards Veena |
Re: Doubt In Functions | |
can some one explain the question, area between the coordinate axis and fff(x). I am nt getting it. |
Re: Functions | |
For how many values of x is f(f(f(x))) = 19?
In this sum
f(f(f(x))) = 19
The next step is f(f(x)) = 38………….
I am not able to deduce this………..
Please someone elaborate??????????? |
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yes sir got it but it should be [-2,2] if i am wrong plz correct |
Re: Functions | |
@sahil, As discussed by you, x^2 * x^3 will be x^5. X^m * x^n = x^{(m+n).}x^{5 is }an odd function. |
Re: Functions | |
Hi Piyush, I am infected by what I do, down to my last nail. My opinion should hardly matter to you. Take what is good and ignore everything else. Total Gadha |
Re: Functions | |
Hi TG Sir, Excellent article. But the link above is infected with a Trojan Horse. Kindly verify its integrity as I was just saved by my firewall.
Keep up the good work Regards Surinder |
Re: Functions | |
thank u sir 4 such a good article.sir is thr any oter approach to solve th last 2 ques?? |
Re: Functions | |
Dear vivek saini it seems (perhaps) you haven't rushed through the various posts of TG. What TG sir say to such question is "YOU ARE NEVER LATE". Work honestly and yu will make it.... Best wishes... Jai Praqas |
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Forget function guys, this guy(TG) can inject attitude in U. A really serious one. Hats off. ****************I'm gonna get back soon************************ |
thanx..... | |
sir... your adomitable aproach towards conspt has really given a lot of helf to me solve my probs.... thanx a ton... |
Re: Doubt In Functions | |
f(x) = odd and g(x) = even then "f(g(x)) = odd.." you went wrong at this part it is not odd its even |
Re: Doubt In Functions | |
Hello TG I also couldn't understand the above mentioned question. Kindly explain it. Regards SM |
Re: Doubt In binomials | |
Hi Amit,
Thanks for reply And for the same problem if we have to find the coefficient of x^4 then how we will proceed?
Thanks in advance!!!!! |
Re: Functions | |
Nice one, |
Re: Functions | |
Please correct me if I am wrong: In the last question,f(x) + f(x-1) = x^2 then f(1) = 1, f(2) = 3 , f(3) = 6, f(4) = 10 i.e, f(n) = n(n+1)/2 => f(19) = 190 and hence f(94)= 4565 |
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hi himanshu. it should be New Delhi |
Re: Functions | |
Hi TG.. Thank you so much for all the articles.. !!! And let me also tell you that you're videos on divisors, remainders and co primes are just tooooooo brilliant... Thanks a lot.. |
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hi, i have calculated the last question in post and arrived at 4181. guys please chk , and correct me if i m wrong.... |
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Hi TG sir i didnot get the explanation of d 1st quest of f(f(f(x)))) where domain of x was 0<x<1..som1 plz help me..i men how did u draw the graph.. |
Re: Functions | |
Vibha Function given is for f(x) but the area is asked for f(f(f(x))). Please check before posting. Kamal Lohia |
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@Kamal sir Apologies! |
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hanji dutta sahib its 4181 |
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HI TG, the below mentioned link that u shared is net getting opened, could you please help me with it. http://totalgadha.com/tgtown/amitkumar/2009/05/16/are-u-really-preparing/ Rahul Sharma |
Re: Functions | |
Dear TG sir, The links such as these return a fatal error through out the site. Kindly resolve the issue. can't afford to miss the Gyan from you. http://totalgadha.com/tgtown/amitkumar/2009/05/16/are-u-really-preparing/ Thanks to you, Kamal sir, Dagny ma'm and rest of the awesome team! |
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how to sketch t graph in t question of f(f(fx)))? y divide into 8 parts?? cud u pl explain ? |
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@ TG Sir and Kamal Saar...would this suffice the need of CAT'11 Function part of QA or anything more req.? If so please inform/ provide a link to.. The KING |
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Ravi Thanks for the correction. It'll be updated in the article soon. Kamal Lohia |
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Kamal Sir, f(a+b)=F(a)+F(b) and f(5)=12. Find F(12) Please help me in solving this. |
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The above Link is showing error..Could u plz post the correct link... |
Re: Functions | |
The above Link is showing error..Could u plz post the correct link... |
Re: Doubt In Functions | |
if f(f(f(X)))=19 how f (f (x))will be 38? |
Re: Functions | |
Hi TG, Kindly help solve the last expression of alternate + and -. unable to solve it. Rachit |