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Distance Formula For two points \( P(x_1, y_1) \) and \( Q(x_2, y_2) \) in the Cartesian plane, the distance between them is given by: \[D = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\] Section Formula For two points \( A(x_1, y_1) \) and \( B(x_2, y_2) \), the coordinates ( (x, y) ) of a point ( P […]
Straight Lines Short Notes & Formula for JEE Main and Advanced Read More »
Sequence It means an arrangement of number in definite order according to some rule Important Points Arithmetic Progression An arithmetic progression is a sequence of numbers such that the difference of any two successive members is a constant a, a+ d, a+2d. a+ 3d Important formula 1. How to Prove if the sequence is AP
Sequence and Series Formula for JEE Main/Advanced Read More »
Students deal with lots of stress during the examination days. We can reduce the stress and stay calm and get success by following these simple steps
1)Take practice tests. The single best way to prepare is to practice. Taking sample exams under similar conditions as the real one will familiarize you and increase your confidence Level. This should be done few days before the examination days. The day before examination should be kept for revising the notes only
11 Smart ways to relieve stress during examination time Read More »
Number 64 is a composite number and we will find how to find the factors of 64. We will also see techniques to find out the Prime factorization of 64 easily Factors of 64 A factor of a number is an exact divisor of that number. So factors of 64 are the numbers which are
Factors of 64 | Prime Factorization of 64 Read More »
We can easily find the integration of $\frac {1}{1+ cos x}$ and $\frac {1}{1 -cos x}$ using trigonometric identities and fundamental integration techniques, The formula of these integral is given as $\int \frac {1}{1+ cos x} \; dx = \tan \frac {x}{2} + C$ or $\int \frac {1}{1+ cos x} \; dx = -\cot x
integration of 1/1+cosx , 1/1 -cos x Read More »
The integration of tan cube x $\tan ^3 x$, can be found using integration substitution and trigonometry identities . The integral of $\tan ^3 x$ with respect to (x) is: \[\int \tan^3 x \, dx =\frac {1}{2} \tan^2 x – \ln |sec x|+ C\] Here, (C) represents the constant of integration, which is added because
integration of tan cube x Read More »
We already know about electric field and electric potential. We also know that electrostatic field is completely characterized by vector function E(r). The electric field depicts the force exerted on other electrically charged objects by the electrically charged particle the field is surrounding. Now a question arises why do we need introduction of electric potential when we already have electric field for the description of electric force between charges.
Use of concept of electric potential Read More »
Question: If you are riding on a train that speeds past other train moving in the same direction on adjacent train.It appears the other train is moving backward. Why?
Solution:
Your reference frame is that of the train you are riding. If you are traveling with a relatively constant velocity (not over
Kinematics Good conceptual problems Read More »
