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IIT JEE Main Solved Practice Paper Set 1.1: Binomial Theorem

Jan 17, 2017 17:00 IST

Get chapter wise free Solved Practice Paper for IIT JEE Main 2017 Examination. This practice paper consists of 10 questions. The questions in this practice paper are very important for JEE Main and JEE Advanced Examination. The difficulty level has also been matched with JEE Exam actual question paper.

Detailed solution of all questions has been also provided along with the correct option.

JEE Main, JEE Advanced, IIT JEE

In the above question we have used the properties of cube root of unity.

Recall,

ω3 = 1

1 + ω + ω2 = 0

UPSEE 2017 Solved Sample Paper Set-1

IIT JEE, JEE Main, JEE Advanced

In this question we have used the properties of combination:

Recall:

nCr = nCn − r

IIT JEE, JEE Main, JEE Advanced

IIT JEE, JEE Main, JEE Advanced

JEE Main Mathematics Solved Sample Paper Set-VII

This question is based on simple expansion of binomial series. Also, see in the question how only two elements are added during each expansion. This is a very important question and requires good thinking.

IIT JEE, JEE Main, JEE Advanced

The fifth question simply uses binomial approach for the expansion. We had broken 115 as 114 + 1 and 96 as 95 + 1, so that they can be expanded by using binomial theorem.

In question six we have simply used the formula of of coefficient of xr in the binonomial expansion of (1 - x)n

IIT JEE, JEE Main, JEE Advanced

JEE Main Physics Solved Sample Paper Set-VII

Question seven requires simple expansion of nCr

Question eight is very important. Similar question are asked in IIT JEE Main, UPSEE, WBJEE and other engineering entrance examination.

IIT JEE, JEE Main, JEE Advanced

Question nine and Question ten both involves simple rules of combinations. They are easy questions and are frequently asked in engineering entrance examinations.

JEE Main Chemistry Solved Sample Paper Set-VII

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