JEE mains is often considered to be one of the toughest exams in India. Approximately 12-14 lakh students appear for the exams every year and students with the best preparation strategy are often the ones who secure the highest ranks. Understanding the structure of the exam and familiarizing yourself with all the topics should be the ideal way to start. Learning how to divide your time between the various topics, mastering the nuances of those subjects and having a well-structured plan are all going to be crucial for success. Though the syllabus is vast, having a good grasp on high-scoring topics can offer a distinctive advantage to the aspirants. Mathematics is one of the three main subjects in JEE and can often be a deciding factor because of the practice, precision and punctuality involved. While there are no topics that can be neglected, it is sometimes essential to prioritize and put an emphasis on some topics where the rewards are high. Practicing these topics over and over and increasing your aptitude for solving sample questions can give you an edge over others. Let’s look at two topics that are absolutely vital and when learned effectively, can really boost your confidence levels when you face the examination.
Ellipses are one of the four conic sections – the others being circles, parabolas and hyperbolas. The study of conic sections comes under coordinate geometry, which is also called analytical geometry. For students preparing for JEE, ellipse can be a very easy scoring topic. The questions from analytical geometry can often be easily tackled if the student’s ability is grounded in the fundamental concepts associated with the topic. Some concepts related to ellipses and other geometrical shapes are also a part of the Class 10 syllabus.Therefore, acquiring a good command over all the different formulas and gradually reducing the time you take to solve these questions should be your approach. Complex numbers are numbers with a real part and an imaginary part. For example, consider the complex number 1+4i. Here, 1 and 4 are the real numbers and ‘i’ is the imaginary unit. The theory of complex numbers finds its applications in a variety of scientific disciplines including electromagnetism, quantum mechanics, 3D mapping and control engineering. Complex numbers is another topic of importance in mathematics that has a good weightage of questions in JEE every year. An adequate understanding of coordinate geometry is essential to visualise and apply the concepts associated with complex numbers. An understanding of trigonometry, algebra and logarithms can also help you master the topic. Some students consider complex numbers to be a difficult topic. But, with a solid foundation on the closely-related topics and repeated practice, students should be able to score with ease.