Amit Anand

I am taking coaching in Chandigarh for IIT-JEE but not performing well. Should I take extra tuitions to catch up? If yes can you suggest some in Chandigarh?

That's quite discouraging. However, with some careful effort you can remedy this situation. The problem you are facing is that you don't understand the basic concepts. Whenever you are attending a maths class, the discourse may sail over you. Its because of the Why you are always asking when the mathematical manipulations are being written on the board. This usually happens because the Mathematical Theory is never presented. Instead a problem is solved. The why is not presented. Merely the HOW is given. Even that is presented as a formula with no genesis. Instead of trying to manipulate the pedagogy you can adopt a few techniques to bolster your understanding. Try some: 1. Read The Chapter as you would a novel. This would acquaint you with the terminology of the concept evolved in the chapter. this will even help you when you read higher abstract structures. 2. Try to remember the definitions. You must clearly read what is Meant To Be Delivered. 3. Try to understand the solved examples. 4. The Best way to get the mathematics is to Read The Proofs. The proof is the entire dynamics of the mathematical ideas developed. 5. Emulate the techniques developed in the solved examples in solving the exercises. 6. Repeat and practice. 7. As a beginner try to learn via problem solving algorithms. this is a technique developed in books by RD. Sharma. This is an excellent book for seeing the How ! 8. Finally Read the mathematics first. practice it hard. unless you understand the Rules of the game you cant play it. Never rush to the exercises. Take your time and enjoy.

The oxford dictionary defines "career" as "An occupation undertaken for a significant period of a person's life and with opportunities for progress." the Wikipedia offers a few opening liners for the same word "A career is an individual's journey through learning, work and other aspects of life. There are a number of ways to define a career and the term is used in a variety of ways." basically a career would be a skill that earns you money and means of survival. if you have an in born talent say for music you could turn it into your career. however the bitter truth is - an inborn talent may not bloom as your career. so the best way is to polish your talents relentlessly. at the same time try to develop skills so that you could make a living. this the practical approach. the CEO of an organization is responsible for the smooth work and the growth of the organization. this is a very challenging job. to be a CEO you must have a knack to communicate with people, a taste for problem solving, visions of future, a grasp of practical applications and a lot of energy. these are just a few things. you could read the biographies of various CEOs. this would provide with a varied perspective.

pi= P is irrational which which the number is a non-terminating series of numbers approximating the value to desired level of precision. the circumference of a circle is expressed by the following equation: circumference = 2 P r ; here r is the radius of the circle. let me introduce an analogy. recall the Bohr model of the atom. the electrons orbit in particular radii. this is quantization-the source of the stability of the atom. this question is trying to introduce the similar situation. the Bohr atom works well explaining the stability of atoms. if P were not to be irrational we would be allowed the construction of some particular circles. this is not the case. we can construct a variety of circles. So there is no problem why P cant be irrational !kindly state the motivation for the question more clearly.