JEE  >  Test: MCQs (One or More Correct Option): Mathematical Induction and Binomial Theorem | JEE Advanced

# Test: MCQs (One or More Correct Option): Mathematical Induction and Binomial Theorem | JEE Advanced

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## 2 Questions MCQ Test Maths 35 Years JEE Main & Advanced Past year Papers | Test: MCQs (One or More Correct Option): Mathematical Induction and Binomial Theorem | JEE Advanced

Test: MCQs (One or More Correct Option): Mathematical Induction and Binomial Theorem | JEE Advanced for JEE 2022 is part of Maths 35 Years JEE Main & Advanced Past year Papers preparation. The Test: MCQs (One or More Correct Option): Mathematical Induction and Binomial Theorem | JEE Advanced questions and answers have been prepared according to the JEE exam syllabus.The Test: MCQs (One or More Correct Option): Mathematical Induction and Binomial Theorem | JEE Advanced MCQs are made for JEE 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: MCQs (One or More Correct Option): Mathematical Induction and Binomial Theorem | JEE Advanced below.
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Test: MCQs (One or More Correct Option): Mathematical Induction and Binomial Theorem | JEE Advanced - Question 1

### If Cr stands for nCr, then the sum of the series     where n is an even positive integer, is equal to (1986 - 2 Marks)

Detailed Solution for Test: MCQs (One or More Correct Option): Mathematical Induction and Binomial Theorem | JEE Advanced - Question 1

∵ n is even, let n = 2m then

....(1)

[Using C= Cn– r]

....(2)

Now keeping in mind that if n is even, then

∴  we get

*Multiple options can be correct
Test: MCQs (One or More Correct Option): Mathematical Induction and Binomial Theorem | JEE Advanced - Question 2

### If  equals (1998 - 2 Marks)

Detailed Solution for Test: MCQs (One or More Correct Option): Mathematical Induction and Binomial Theorem | JEE Advanced - Question 2

Let

[∵​ nCr = nCn-r]

= nan – b

## Maths 35 Years JEE Main & Advanced Past year Papers

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## Maths 35 Years JEE Main & Advanced Past year Papers

132 docs|70 tests