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THANKYOU VERY MUCH.
BUT I PRESUME THAT THE RED LINE MUST BE EXTENDED UPTO -3 AND 2 RESPECTIVELY.

reply???????????????

ITS RUBBISH

which graphs are in engg. competitive exams syllabus????

draw graphs of y=e^(x+8)

y=tan(arctan x),y=arctan(tan x).......continue this for all trigo. ratios including cot,sec,cosec etc.

give some examples of graphs of greatest integer function.(drawn graphs)

if x varies between -3 and 2 , sketch the graph of |x|.

use graphs to solve:

the no. of real sol. (x,y) of y=(pi)/2+arccos(cos x)and also y=|tan x|,where x lies between 0 and 2(pi)????

the correct and complete ans. will be rewarded.

how to get admission in IIIT HYDRABAD and other IIIT's.

ARE THEY GOOD????????

DO THEY CONDUCT THEIR OWN EXAMINATION??

HOW TO GET INTO THAPAR???

DOES ANY GOOD INSTITUTE CONSIDER BOARD MARKS??

WHEN AND HOW SHOULD WE COMLETE 11th COURSE(COMPETITION) AS WELL AS DO OUR BOARD PREPERATION???

WHEN DO WE GET THE FORMS OF AIEEE,IIT,BITS,MANIPAL.

HOW IS DAYALBAGH EDUCATIONAL INSTITUTE??

I HAVE DONE

ML KHANNA IN MATHS

MORRISON IN ORGANIC

IS THIS

woooooooow this is a nice post !!! keep it up !!

thank you deepak,
apart from up ceet pls. name all other competitive exams also--except iit jee,aieee.

The Centripetal Force Requirement

Uniform circular motion can be described as the motion of an object in a circle at a constant speed. As an object moves in a circle, it is constantly changing its direction. Because of this direction change, you can be certain that an object undergoing circular motion is accelerating (even if it is moving at constant speed). And in accord with Newton's second law of motion, an accelerating object must be acted upon by an unbalanced force. This unbalanced force is in the same direction as the direction of the acceleration. For objects in uniform circular motion, the net force and subsequent acceleration is directed inwards. It is often said that circular motion requires an inward (or "centripetal") force.

Without a centripetal force, an object cannot travel in circular motion. In fact, if the forces are balanced, then an object in motion continues in motion in a straight line at constant speed. This can be demonstrated by carrying a tennis ball upon a flat, level board. Once the tennis ball and the board are in motion, they will continue in motion in the same direction at the same speed unless acted upon by an unbalanced force.

This is in accord with Newton's first law of motion. But if an unbalanced force is applied to the flat board, then the flat board will accelerate. If the force is continually directed towards a point at the center of the circle, then the flat board will round the corner in a circular-like path. The ball on the other hand will continue to move in the same direction since there is no unbalanced force acting upon it. The board will move out from under the tennis ball. This is illustrated in the animation on the left below.

Now if a block is secured to the board in such a manner that the block applies an unbalanced force to the ball that is directed towards the center of the circle, then quite another phenomenon will be observed. With the block providing a normal force directed inward, the ball can round the corner in a circular-like path. The block supplies the centripetal force required for circular motion. With the centripetal motion requirement met, uniform circular motion can occur. This is illustrated in the animation on the right below.

Without a centripetal force, an object in motion continues along a straight-line path.

With a centripetal force, an object in motion will be accelerated and change its direction.

The tendency of a moving object to continue in a straight line in the absence of an unbalanced force and to turn in a circle in the presence of a inward-directed force (i.e., centripetal force) has been experienced by any passenger in an automobile. When the car makes a sudden turn, the passengers tend to continue in their straight line path. This straight line motion continues until the presence of a side door or another passenger pushes upon the passenger in order to accelerate him/her towards the center of the turn. The force experienced by the passenger is an inward force; without it, the passenger would slide out of the car.

May be many of u would be knowing this.... incase u dnt check this out...

Let A = [a_ij]

then adj (A) = [C_ij] whr C_ij is the cofactor of a_ij

now let A is given by | a₁₁ a₁₂ a₁₃ .......... a_1n |

| a₂₁ a₂₂a₂₃.......... a_2n |

| ..................................|

|...................................|

| a_n1 a_n2a_n3.......... a_nn |

adj (A) = | C₁₁ C₁₂ C₁₃ .......... C_1n|

| C₂₁ C₂₂C₂₃.......... C_2n|

| ................................ ..|

|.................................. .|

| C_n1 C_n2C_n3.......... C_nn |

now we have a property in detrminants which states that "if all the elemnts of a prticular row or coloumn is multiplied with its cofactor then thr algebraic sum will be same as determinant's and if they are multiplied by cofactor of any other's row (or coloumn's ) elemnt, then its value will be 0"

using this property...

we'll be having

adj (A) = | |A| 0 0 .......... 0|

| 0 |A| 0......... 0|

| ...........................|

|............................|

| 0 0 0.........|A| |

here the diagonal elemts will be |A| and rest 0 (by the above property)

thrfore adj (A) = |A| I_n

also thr's this property if all the entries of a determinant of order n is replaced by thr corresponding cofactors then value of new-determinant D is D = |A|^n-1[power cofactor formula]

thrfore using this, here

|adj (A)| = |A|^n-1

this can be genralised to |adj (adj (adj..... (n tymes)..(adj (A))))|= |A|^{[n-1)^n]}

Hopefully It helps.....

Dnt go much in proof... just rember the formula...and the property... that will do

pls. give the names of all competitive engg.exams which a resident of uttaranchal can appear and also name some good institutes except iit's.

Lovely!!!!You come after 3+2+3 hours of hard work

9-12 :- almost a shaky start, and some nervousness arising due to the need of getting the essence of the past two years (actually more) into one crucial day and to do all this in a place you have never been to , before.
12-2 :- might seem the easiest part of the day but is actually the toughest. Getting some food into your stomach and expecting to digest it without any oxygen supply coz the brain has taken it all, is as likely as ending up with JEE rank 1. And then the pressure of not looking into the first paper (you wouldn't like to have a depressed mind, or even an over-confident one - entering the second test)
2-5 :- Get back to work.And it doesn't really matter if the afternoon is hot and the electricity supply is, well ...... typically Indian. The exam is the most important thing during the three hours and a slight dip in concentration may spell disaster.

Ok, after having excerted yourself for the eight hours , you hear people saying it was an easy paper, and... and even though you know those speakers might actually never make it, you are literally forced to believe that you missed out.

Were the eight hours 'easy'? Definitely not. The questions might have been easier but the paper, it was by no means easy. Anyways, it doesn't really matter if the questions are easy or difficult , its going to be the same set of people (with minor changes) who actually make it.

IITJEE is never difficult. Its not the high level of knowledge, or the complicated theorems, its just plain application of what you know, how well you know it, and ofcourse how well you use it. The questions were tricky, no doubt. There were ocassions when the questions trapped me, and literally induced mistakes. Deadly 'match the following'. All in all an excellent question paper, trademark IITJEE.

LOOK OVER THE TEST AND PACE YOURSELF

When you first get the exam, don't just plunge into answering test items. Instead, thumb through the pages and get the lay of the land. How many questions are there? How many different sections ? Once you've looked through the entire test, try to estimate what pace you should maintain in order to finish approximately 10 minutes before the period is over. That way, you'll have a little time at the end to check for careless mistakes like skipped questions or misread items.

Some of the worst problems occur when students enter a time warp and forget to check the clock, or when they spend too much time on one or two difficult items. To prevent this from happening, one trick you can use is to scribble the desired "finish time" time for each section right on the test booklet. That way, you'll be prompted to check the clock after completing each part of the exam.

TAKE SHORT BREAKS

Try taking a few breaks during the exam by stopping for a moment, shutting your eyes, and taking some deep breaths. Periodically clearing your head in this way can help you stay fresh during the exam session. Remember, you get no points for being the first person to finish the exam, so don't feel like you have to race through all the items -- even two or three 30-second breaks can be very helpful.

DON'T SKIP AROUND

Skipping around the exam can waste valuable time, because at some point you will have to spend time searching for the skipped questions and re-reading them. A better approach is to answer each question in order. If you are truly baffled by a question, mark the answer you believe to be right, place a question mark next to the question, and come back to it later if you have time. Try to keep these flagged questions to a bare minimum (e.g., fewer than 10% of all items).

FIRST ANSWERS ARE USUALLY CORRECT

Don't speed through the items with the idea of going back to change answers you are unsure of. If you take time to think through each question, your initial answer will usually be the correct one. Although there are always exceptions to this rule, the best approach in most cases is to carefully answer each question the first time you go through the exam, and change only those answers that are clearly mistakes.

WHAT TO DO IF MORE THAN ONE ANSWER SEEMS CORRECT

If you're utterly stumped by a question, here are some strategies to help you narrow the field and select the correct answer:

Ask yourself whether the answer you're considering completely addresses the question. If the test answer is only partly true or is true only under certain narrow conditions, then it's probably not the right answer. If you have to make a significant assumption in order for the answer to be true, ask yourself whether this assumption is obvious enough that the instructor would expect everyone to make it. If not, dump the answer overboard.
If you think an item is a trick question, think again. Very few instructors would ever write a question intended to be deceptive. If you suspect that a question is a trick item, make sure you're not reading too much into the question, and try to avoid imagining detailed scenarios in which the answer could be true. In most cases, "trick questions" are only tricky because they're not taken at face value.

If, after your very best effort, you cannot choose between two alternatives, try vividly imagining each one as the correct answer. If you are like most people, you will often "feel" that one of the answers is wrong. Trust this feeling -- research suggests that feelings are frequently accessible even when recall is poor (e.g., we can still know how we feel about a person even if we can't remember the person's name). Although this tip is not infallible, many students find it useful.

RATE IT IF U LIKED IT

no doubt you are correct

~comment by freestyler_fx (posted on 14/03/2007 12:33)
thanks buddy...great!!

~comment by freestyler_fx (posted on 14/03/2007 12:39)
frm where did ya get these things??

~comment by arvind1990 (posted on 20/03/2007 10:01)
thanx!!!

~comment by pink_ele (posted on 20/03/2007 11:14)
thanx

~comment by ManiacalAce (posted on 21/03/2007 09:51)
Thanks man, I was looking for something like this.

~comment by rahul31 (posted on 21/03/2007 11:41)
its frm iit .org?

~comment by arvind1990 (posted on 21/03/2007 18:30)
thanx!!!!

~comment by georgek (posted on 21/03/2007 18:57)
thank u

~comment by ManiacalAce (posted on 21/03/2007 19:48)
By the way, my name is Arvind too >_>

~comment by visioniit (posted on 21/03/2007 22:12)
gud 1 and thanx a lot

~comment by bharath_2890 (posted on 21/03/2007 23:09)
thanks u helped me a lot

~comment by shine (posted on 22/03/2007 08:30)
thankssss!!!!

~comment by arvind1990 (posted on 23/03/2007 09:56)
thanks for everyone!!!!

~comment by arvind1990 (posted on 26/03/2007 00:05)
chck out everyone!!!

excellent