IIT JEE Main Solved Practice Paper Set 1.1: Binomial Theorem

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.

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

Recall,

ω³ = 1

1 + ω + ω² = 0

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In this question we have used the properties of combination:

Recall:

ⁿC_r = ⁿC_{n − r}

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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.

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 x^r in the binonomial expansion of (1 - x)ⁿ

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Question seven requires simple expansion of ⁿC_r

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

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

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