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Test: Binomial Theorem- 2 - UPSC MCQ


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10 Questions MCQ Test - Test: Binomial Theorem- 2

Test: Binomial Theorem- 2 for UPSC 2024 is part of UPSC preparation. The Test: Binomial Theorem- 2 questions and answers have been prepared according to the UPSC exam syllabus.The Test: Binomial Theorem- 2 MCQs are made for UPSC 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Binomial Theorem- 2 below.
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Test: Binomial Theorem- 2 - Question 1

The co-efficient of x53 in the expansion  is

 

Detailed Solution for Test: Binomial Theorem- 2 - Question 1

Test: Binomial Theorem- 2 - Question 2

Use the binomial theorem to expand (2x − y) 4 .

Detailed Solution for Test: Binomial Theorem- 2 - Question 2

4C4(2x)4 - 4C3(2x)3y +4C2(2x)2(-y2) - 4C1(2x)(y3) +4C0(y4)
= 16x4  -  32x3y + 24x2y2 - 8xy3 + y4

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Test: Binomial Theorem- 2 - Question 3

Test: Binomial Theorem- 2 - Question 4

Test: Binomial Theorem- 2 - Question 5

Use the binomial theorem to expand (2 − 3i)6

Test: Binomial Theorem- 2 - Question 6

The second term of (2x − y) 4 is ?

Detailed Solution for Test: Binomial Theorem- 2 - Question 6

Second term of (2x − y)4 is 
4C1(2x)3(-y)
= -32x3y

Test: Binomial Theorem- 2 - Question 7

Test: Binomial Theorem- 2 - Question 8

Test: Binomial Theorem- 2 - Question 9

Test: Binomial Theorem- 2 - Question 10

In the binomial expansion , the 6th term is . The value for is:

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