RS Aggarwal Class 11 Chapter 10 Solutions (Binomial Theorem)
RS Aggarwal Solutions for Class 11 Maths Chapter 10 are the best way to solve all your doubts regarding the chapter. This chapter introduces you to the Binomial Theorem and other related concepts such as a total number of terms in Binomial Theorem, how to solve expansions, how to find larger numbers making use of Binomial Theorems, how to solve proofs using Binomial Theorems, what is the general term of a Binomial theorem, how to find the coefficient of a term and middle term of a binomial theorem.
RS Aggarwal Class 11 Maths Chapter 10 has 2 exercises: 10A and 10B with around 64 questions. These questions are designed according to the latest CBSE exam pattern. Not only do these questions help in CBSE exam preparation but also in the NEET and JEE preparation. All the RS Aggarwal Solutions are designed to step by step so that you do not get confused in complex calculations of the chapter.
Important Topics for RS Aggarwal Solutions for Class 11 Maths Chapter 10
Introduction To The Binomial Theorem
In the earlier classes, you have learned about how to find squares and cubes of binomials like a+b and a-b. You used to find the numerical values of numbers like (98)2= (100-2)2, (999)3= (1000-1)3. However, you won’t be able to find values easily for high powers like (98)5.
To overcome the difficulty of solving such questions, a theorem is now introduced known as the Binomial Theorem. Binomial theorem offers an easy way to expand (a+b)n, where n is an integer or a rational number.
In RS Aggarwal Class 11 Maths Chapter 10, you will study about binomial theorem for positive integers only. The Binomial theorem is the method of expanding an expression that has been raised to any finite power. This theorem is known as a powerful tool that helps in the expansion of numbers. This expansion is applied to applications in algebra, probability, etc.
Terms In The Binomial Expansion
In the binomial expansion, the questions generally ask you to find the middle term of the general term. Below listed are the different terms in the binomial expansion that are covered in the chapter:
- General Term
- Middle Term
- independent Term
- Determining A Particular Term
- Numerically Greatest term
- The ratio of Consecutive/coefficients
In order to find the coefficients of binomial, you need to make use of Pascal’s Triangle. Also known as the hexagrammum mysticism, pascal’s theorem mainly states that if on a conic plane, you choose six arbitrary points ( which may be an ellipse, parabola or hyperbola in an appropriate affine plane) and then if you join the points by line segments in any order mainly to form a hexagon, then the three pairs of opposite sides of the hexagon will eventually meet at three points that together lie on the straight line. This straight line is called the Pascal line of the hexagon. Also, It is named after Blaise Pascal. Pascal’s theorem is valid in the Euclidean Plane. Also, sometimes the statements have to be adjusted so as to deal with different special cases when the opposite sides are parallel.
Exercise-Wise Discussion of RS Aggarwal Solutions for Class 11 Maths Chapter 10
- The chapter contains two exercises in which 10A exercise has around 48 questions and 10B exercise has only 16 questions. The chapter has a total of 64 questions which are entirely sufficient to practice on only two topics- binomial and pascal’s theorem.
- The questions range from basic to difficult findings and you should understand each topic properly so as to solve the questions in a proper manner.
- In exercise 10A, you have to find middle terms in different expansions or other terms as asked in the questions. You will be asked to prove coefficients in a different manner.
- In exercise 10B, you have to find the values of x or the coefficients mentioned in the question.
Benefits of RS Aggarwal Solutions for Class 11 Maths Chapter 10
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