JEE  >  Maths 35 Years JEE Main & Advanced Past year Papers  >  Test: MCQs (One or More Correct Option): Mathematical Induction and Binomial Theorem | JEE Advanced Download as PDF

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


Test Description

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.
Solutions of Test: MCQs (One or More Correct Option): Mathematical Induction and Binomial Theorem | JEE Advanced questions in English are available as part of our Maths 35 Years JEE Main & Advanced Past year Papers for JEE & Test: MCQs (One or More Correct Option): Mathematical Induction and Binomial Theorem | JEE Advanced solutions in Hindi for Maths 35 Years JEE Main & Advanced Past year Papers course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt Test: MCQs (One or More Correct Option): Mathematical Induction and Binomial Theorem | JEE Advanced | 2 questions in 4 minutes | Mock test for JEE preparation | Free important questions MCQ to study Maths 35 Years JEE Main & Advanced Past year Papers for JEE Exam | Download free PDF with solutions
1 Crore+ students have signed up on EduRev. Have you?
*Multiple options can be correct
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)

Adding (1) and (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

Use Code STAYHOME200 and get INR 200 additional OFF
Use Coupon Code
Information about Test: MCQs (One or More Correct Option): Mathematical Induction and Binomial Theorem | JEE Advanced Page
In this test you can find the Exam questions for Test: MCQs (One or More Correct Option): Mathematical Induction and Binomial Theorem | JEE Advanced solved & explained in the simplest way possible. Besides giving Questions and answers for Test: MCQs (One or More Correct Option): Mathematical Induction and Binomial Theorem | JEE Advanced, EduRev gives you an ample number of Online tests for practice