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You should always follow this method to do the chapter. In addition to that, Important Questions are marked for your reference. Chapter 2 Class 12 Inverse Trigonometric Functions. Chapter 3 Class 12 Matrices. Chapter 4 Class 12 Determinants.

Chapter 5 Class 12 Continuity and Differentiability. Chapter 6 Class 12 Application of Derivatives. Chapter 7 Class 12 Integrals. Also find maximum volume in terms of volume of the sphere. Prove that the sum of their volumes is minimum, if x is equal to three times the radius of the sphere.

Also find the minimum value of the sum of their volumes. A tank with rectangular base and rectangular sides open at the top is to be constructed so that its depth is 3 m and volume is 75 cubic meter. UP Board Intermediate students can take help from these solutions. Derivative came into existence for the problem of defining tangent lines to the graphs of functions and calculating the slope of such lines.

Integral Calculus eases the problem of defining and calculating the area of the region bounded by the graphs of the function. With a total of eleven exercises, you will have to learn every topic and their related questions with sheer concentration.

Class 12 Maths Chapter 7 Exercise 7. Here, in this chapter, you will study some specific application of integrals to find the area given under the simple curves, also, the area between lines and arcs of circles, parabolas and ellipses standard forms only.

There are two exercises in this chapter in which you will also deal with finding the area bounded by the above-said curves.

Class 12 Maths Chapter 8 Exercise 8. In Differential Equations, you will be studying some basic concepts related to the differential equation, general and particular solutions of a differential equation, formation of differential equations, number of methods to solve a question based on first order - first-degree differential equation and some applications of differential equations in different areas.

There are a total of six exercises in this chapter for the students. Differential equations are implemented in a plethora of applications in all the other subjects and areas. Hence, if you study the Differential equations chapter in a detailed manner, it will help you to gain a detailed insight into all modern scientific investigations.

Class 12 Maths Chapter 9 Exercise 9. Did you know those quantities that involve only one value magnitude , which is a real number is called scalars? Whereas, quantities that involve magnitude and direction are called Vectors. In chapter Vector Algebra, you will be studying about some basic concepts of vectors, various operations on vectors, and they're algebraic as well as geometric properties.

Class 12 Maths Chapter 10 Exercise The chapter Three Dimensional Geometry will take you through the study of the direction cosines and direction ratios of a line joining two points and also about the equations of lines and planes in space under different conditions. Along with that, you will also get to know about the angle between two lines, a line and a plane, two planes, the shortest distance between two skew lines and distance of a point from a plane.

Class 12 Maths Chapter 11 Exercise This chapter has only two exercises in which you will study some linear programming problems and their solutions by graphical method only, though there are many other methods also available to solve such problems. Class 12 Maths Chapter 12 Exercise The probability will take you through the important concepts of the conditional probability of an event given that another event has occurred, which will, in turn, clarify the Bayes' theorem, multiplication rule of probability and independence of events.

With a total of five exercises, you will also learn an important concept of a random variable and its probability distribution and the mean and variance of a probability distribution. Class 12 Maths Chapter 13 Exercise Let us look into this You can easily grasp some crucial tips to answer some particular complex questions in a detailed manner.

You no longer have to turn several pages for revision before the examination. Maths is a sequential subject and it is important that it is studied in a right manner.

The solutions are explained in a detailed manner.

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