Class XI Chapter 8 – Binomial Theorem Maths ______________________________________________________________________________ It can be written that, 96 100 4 96 100 4 3 3 100 100 4 100 4 3 4 3 3 3 2 3 C 2 3 0 C1 C2 C3 100 3100 4 3100 4 4 3 2 2 3 1000000 120000 4800 64 884736 Question 7: Using Binomial Theorem, evaluate 5 102 Solution 7: 102 can be expressed as the sum or difference of two numbers whose powers are easier to calculate and then, binomial theorem can be applied. It can be written that, 102 100 2 102 100 2 5 5 100 100 2 100 2 100 2 100 2 2 5 5 5 4 5 3 2 5 2 3 5 4 5 C 5 0 C1 C2 C3 C4 C5 100000000001000000000 400000008000008000 32 **11**040808032 Question 8: Using Binomial Theorem, evaluate 4 101 Solution 8: 101 can be expressed as the sum or difference of two numbers whose powers are easier to calculate and then, binomial theorem can be applied. It can be written that, 101 100 1 101 100 1 4 4 100 100 1 100 1 1001 1 4 4 4 3 4 2 2 4 3 4 C 4 0 C1 C2 C3 C4 100 4100 6100 4100 1 4 3 2 4 100000000 4000000 60000 400 1 104060401 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

Class XI Chapter 8 – Binomial Theorem Maths ______________________________________________________________________________ Question 9: Using Binomial Theorem, evaluate 5 99 Solution 9: 99 can be written as the sum or difference of two numbers whose powers are easier to calculate and then, binomial theorem can be applied. It can be written that, 99 100 1 5 5 99 100 1 100 100 1 100 1 100 1 1001 1 5 5 5 4 5 3 2 5 2 3 5 4 5 C 5 0 C1 C2 C3 C4 C5 5 4 3 2 100 5 100 10 100 10 100 5 100 1 1000000000050000000010000000100000 5001 10010000500500100001 9509900499 Question 10: Using Binomial Theorem, indicate which number is larger 10000 1.1 or 1000 . Solution 10: By splitting 1.1 and then applying Binomial Theorem, the first few terms of 10000 as 1.1 10.1 10000 10000 10000 10000 C C 0 1 1.1 Other positive terms **11**00001.1 Other positive terms **11**1000 Other positive terms 1000 Hence, 10000 1.1 1000 . 1.1 be obtained Question **11**: 4 4 . Hence, evaluate. Find a b a b Solution **11**: 4 4 3 2 3 2 Using Binomial Theorem, the expressions, a b 4 and a b 4 , can be expanded as Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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Class XI Chapter 12 - Introduction

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Class XI Chapter 15 - Statistics Ma

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