Description

This mock test of Test: Binomial Theorem- 2 for UPSC helps you for every UPSC entrance exam.
This contains 10 Multiple Choice Questions for UPSC Test: Binomial Theorem- 2 (mcq) to study with solutions a complete question bank.
The solved questions answers in this Test: Binomial Theorem- 2 quiz give you a good mix of easy questions and tough questions. UPSC
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QUESTION: 1

**The co-efficient of x ^{53} in the expansion **

Solution:

QUESTION: 2

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

Solution:

^{4}C_{4}(2x)^{4} - ^{4}C_{3}(2x)^{3}y +^{4}C_{2}(2x)^{2}(-y^{2}) - ^{4}C_{1}(2x)(y__ ^{3}__) +

= 16x

QUESTION: 3

Solution:

QUESTION: 4

Solution:

QUESTION: 5

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

Solution:

QUESTION: 6

The second term of (2x − y) ^{4} is ?

Solution:

Second term of (2x − y)^{4} is

^{4}C_{1}(2x)^{3}(-y)

= -32x^{3}y

QUESTION: 7

Solution:

QUESTION: 8

Solution:

QUESTION: 9

Solution:

QUESTION: 10

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

Solution:

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