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NCERT Solutions Class 12 Maths Chapter 8 Exercise 8.2 Application of Integrals
NCERT solutions for class 12 maths chapter 8 exercise 8.2 application of integrals now deals with finding the area between two curves. In the previous exercise, students have encountered questions that ask them to find the area between a line and a curve such as a hyperbola. However, in this section kids will have to determine the region bound by a parabola and a circle, two hyperbolas, and so on, given certain limits. The procedure to solve these problems will be the same as exercise 8.1 however, now the formulas will become more complex and their manipulations will involve lengthier calculations. NCERT solutions class 12 maths chapter 8 exercise 8.2 helps students to harness their speed and accuracy while performing complicated calculations along with teaching them how to work with two or more topics efficiently.
The main point to remember here is that once a child draws both the curves and identifies the area that needs to be determined, he needs to use the correct limits along with the right formula of the curve. For example, say we have to determine the area of a triangle given the coordinates of its vertices. We will first have to find the equation of the three lines that form the triangle using the standard formula of a line. The integration will be a summation of these three formulas while the limits will be the two endpoints of each line segment. Class 12 maths NCERT solutions chapter 8 exercise 8.2 application of integrals have many such problems that help kids build their confidence in working with such problems. The link is given below can be used to access a PDF version of these solutions.
☛ Download NCERT Solutions Class 12 Maths Chapter 8 Exercise 8.2
Exercise 8.2 Class 12 Chapter 8
More Exercises in Class 12 Maths Chapter 8
- NCERT Solutions Class 12 Maths Chapter 8 Ex 8.1
- NCERT Solutions Class 12 Maths Chapter 8 Miscellaneous Ex
NCERT Solutions Class 12 Maths Chapter 8 Exercise 8.2 Tips
NCERT solutions class 12 maths chapter 8 exercise 8.2 application of integrals has 7 sums that range between intermediate to complex level. In order to identify the limits of integration as well as when to switch the formulas of the given curves, drawing graphs and shading the required region is a must. This is one of the most scoring topics if students have a good understanding of the concepts.
NCERT solutions class 12 maths chapter 8 has questions that are arranged in different formats. This gives students the opportunity to review the kinds of problems that can appear on an examination. If children hit roadblocks while attempting this exercise they can either revisit the topics of integration and curves or they can turn to their teachers for help. However, they must have their queries answered immediately so as to prevent a gap in learning resulting in a shaky mathematical foundation.
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