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Re: Email (IIT-JEE Reforms)

Before answering email from a student, let me first congratulate the JEE council for taking back the issues affecting JEE 2006 students. They have shown great maturity and non-egoistical attitude towards understanding the sound logic. This probably would not have happened without the active participation from students, parents and the role media played in the process.

Coming to the second point, some of the points mentioned in the following abridged email may be of general interest. Hence, its reply is posted here:

  1. I welcome the change in pattern in this new system if it promotes school system as only in school can one actively participate in debates, sports and other activities apart from studies that are crucial to be successful in life.
  2. One-tier exam is a welcome move.
  3. If the test takes care of the aptitude, comprehension and analytical abilities it does sound good. However, technical education requires in-depth knowledge of the subjects also apart from managerial attributes. If an objective paper can be prepared that takes care of the points rightly mentioned by the council and tests depth of knowledge then I support it.
  4. Though, there is disparity among different boards right now, the council of boards is working towards the reforms. In this context, I think 60% criteria looks acceptable to be applicable from JEE 2007. I hope that the discussions taking place in meetings involving participation from different boards work towards homogeneity.
  5. Considering increase in seats in existing IIT and plan to open up more IIT, limiting 2 attempts from JEE 2007 does not appear to be a bad idea. The student not getting through IIT in 2 attempts may look for other good options that are available in plenty.
  6. IIT have a mechanism by which a student can change branch after joining IIT. If required, this mechanism may further fine tuned and thereby there will be no need for a student who has joined IIT to write JEE again. It will also save him/her one year.
  7. OETS will evolve to take care of the change in pattern. The test on alcohol on 25'th September will include new type of questions.

Namasthe sir,

I'm Praharshit Sharma from BITS-Pilani. You would have come across the much awaited change in the iit-jee pattern from 2006. One main reason I 'am' for it is that it is single-tier...Sir you see factually iit-jee screening test was tougher than mains-paper. Also the innovative proposal of "testing comprehension and analytical abilities"of the candidate", the latter of which is always an indispensible part and parcel of the JEE is a fine welcome on my part--which is all said to include write-ups on a topic and objective-type questions based on the same...Well sir, what do say about this--surely you would have taken the jee in the old pattern..i.e. one -tier with 3 hrs. each of phy, chem and what extent do you think that this new system is justified and concordant with the previous one (pre-2000)? Whats your general opinion rather? And what changes do you plan to make in the online-extensive test series (2006) as such if this pattern 'is' materialised?

Thanking you,

Yours very positively, Praharshit.

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$f(x)=x^6+2x^4+x^3+2x+3 $

$\mathop {\lim }\limits_{x \to 1} \frac{{{x^n}f(1) - f(x)}}{{x - 1}} = 44$


Let $f(x)=x^6+2x^4+x^3+2x+3,x \in R $. Then the natural number n for which $\mathop {\lim }\limits_{x \to 1} \frac{{{x^n}f(1) - f(x)}}{{x - 1}} = 44$ is _ _ _ _ . Solution Since the limit has $\left[ {\frac{0}{0}} \right]$ form, L.H. Rule is applicable. Thus, $\mathop {\lim }\limits_{x \to 1} n{x^{n - 1}}f(1) - f'(x) = 44$ $\therefore nf(1) - f'(1) = 44$ $\therefore n.9 - ({6.1^5} + {8.1^3} + {3.1^2} + 2.1) = 44$ $ \Rightarrow 9n - 19 = 44$ $\Rightarrow n=7$