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Equations of Tangent and Normal

The equation of the tangent and normal to a curve at a given point can be found using calculus. Given a curve with equation y = f(x), the derivative of the function with respect to x is dy/dx. The value of the derivative at a specific point (x0, y0) gives the slope of the tangent…

Equation of a straight line in various forms

There are several forms of the equation of a straight line in analytical geometry. The most common ones are: What is Required Equation of a straight line in various forms The required analytical geometry equation of a straight line depends on the given information or problem. In general, the most commonly used forms are: To…

General solution of trigonometric equations

Trigonometric equations are equations that involve trigonometric functions such as sine, cosine, tangent, etc. Solving trigonometric equations involves finding values of the variable that make the equation true. The general strategy for solving trigonometric equations is to use algebraic techniques to transform the equation into an equivalent equation that is easier to solve. Here are…

Conditional probability

Conditional probability is the probability of an event occurring given that another event has already occurred. It is denoted by P(A|B) and read as “the probability of A given B”. The formula for conditional probability is: P(A|B) = P(A and B) / P(B) Where P(A and B) is the probability of A and B occurring…

Sample space

In probability theory, a sample space is the set of all possible outcomes of a random experiment or process. It is denoted by the symbol S and is a fundamental concept that helps to define probabilities and perform statistical analyses. For example, suppose we are rolling a six-sided die. The sample space for this experiment…

Symmetric and skew-symmetric matrices and their properties

A matrix is said to be symmetric if it is equal to its transpose. That is, for an n x n matrix A, A is symmetric if A^T = A. A matrix is said to be skew-symmetric if it is equal to the negative of its transpose. That is, for an n x n matrix…

JEE (Main+Advance) Repeater Course Thermal Physics

Thermal Physics is an important topic in the JEE (Main+Advanced) exam, and it requires a strong understanding of fundamental concepts and their applications. Here is a brief overview of the key topics you should focus on: In addition to these topics, it is also important to practice solving numerical problems and to become familiar with…

JEE (Main+Advance) Repeater Course Mechanics

The JEE (Main+Advance) repeater course is designed for students who have already attempted the JEE examination but did not score well enough to secure a seat in their preferred engineering colleges. The repeater course is focused on providing these students with an opportunity to improve their performance and achieve a better rank in the JEE…

JEE (Main+Advance) Repeater Course General

JEE (Joint Entrance Examination) is a national-level engineering entrance exam in India that is conducted for admission to undergraduate engineering courses in Indian Institutes of Technology (IITs), National Institutes of Technology (NITs), and other centrally-funded technical institutions. A repeater course in JEE (Main+Advanced) is designed for students who have already attempted the exam at least…

JEE (Main+Advance) Repeater Course Practical Organic Chemistry

As an AI language model, I do not have access to specific information regarding JEE (Main+Advanced) Repeater Course Practical Organic Chemistry. However, I can provide you with some general information regarding practical organic chemistry that might be helpful for you. Practical organic chemistry involves the synthesis, purification, and characterization of organic compounds. It is a…