Mathematics

1. Concept of Brackets { }--- value is the solution, e.g. {3,4} => x =3 and 4 ( )----- open interval , end points excluded e.g. (3 4) => 3 < x < 4 [ ] ---- close interval, end points included e.g. [3 4] =>  2. Number System: 3. Every number is a complex number 0 is both real as well as imaginary ( 0 + i0 ) 4. Rational No. - p/q form =>    and p and q both are integers                            and p/q =    recurring decimal --- rational                                               non-recurring decimal --- irrational 5.   and e both are irrational 6. Standard Theorem :- Between two consecutive rational number there is only one irrational number and vice versa. 7. Real Line Method : i) Algebraic equality & inequality ii) Modulus equality & inequality a.  how to solve this inequality , the product of (x-1) and (x-2) is negative => either (x-1) is negative or (x-2) is negative both cant

THESE ARE THE FUNDAMENTAL CONCEPTS Fraction expression, if,   We already know we cant divide any number by " zero " i am trying to divide but could not find any solution and reach the conclusion hahaha ... infinity ( ∞)(not defined) so first thing we do is to find the values for which denominator becomes zero.. these values certainly will not be in the domain of solution. take a example 1. what we do, we cancel the term    from both the sides and reach the conclusion that x = 2.... at least I do the same .....:) but is it really possible for above equation that x = 2 is the solution?? if we put x = 2 on above equation, what will we get ? denominator of 2nd term and fourth term will become zero... and become infinity (not defined)... and you cant subtract infinity from infinity... so we reach the conclusion that x ≠ 2 for any other value other than x = 2, we can cancel   from both the sides... and get x = 2 which is not possible for ab

Mathematics is a real demon for some students who are preparing for competitive exams. I am starting this blog for making students comfortable with mathematics and feel how interesting and enjoying the maths is. I am trying to develop an interesting way of doing this. Firstly, i will start with the concepts for IIT aspirants and Intermediate students. Later i will focus on Higher Mathematics and Big Competitive exams like IAS, IFS, BSc and MSc. I will try to solve your queries relating to all maths problems and at least guide you towards the solution. Hope, we enjoy this journey.