Binomial Theorem - Algebra -Single Correct Type Questions(JEE ADVANCED) Part 3

 Q.1

Correct Answer is:C
Solution Explain:








Q.2

Correct Answer is:B
Solution Explain:








Q.3

Correct Answer is:B
Solution Explain:








Q.4

Correct Answer is:B
Solution Explain:









Q.5

Correct Answer is:D
Solution Explain:









Q.6

Correct Answer is:C
Solution Explain:









Q.7

Correct Answer is:B
Solution Explain:









Q.8

Correct Answer is:C
Solution Explain:









Q.9

Correct Answer is:A
Solution Explain:









Q.10

Correct Answer is:C
Solution Explain:










Q.11

Correct Answer is:D
Solution Explain:








Q.12

Correct Answer is:D
Solution Explain:

On factorizing (1 – x)6 (1 – x2)6

General term










Q.13

Correct Answer is:C
Solution Explain:









Q.14

Correct Answer is:C
Solution Explain:








Q.15

Correct Answer is:B
Solution Explain:









Q.16

Correct Answer is:C
Solution Explain:








Q.17

Correct Answer is:B
Solution Explain:









Q.18

Correct Answer is:C
Solution Explain:










Q.19

Correct Answer is:A
Solution Explain:








Q.20

Correct Answer is:D
Solution Explain:











Q,21

Correct Answer is:B
Solution Explain:









Q.22

Correct Answer is:B
Solution Explain:








Q.23

Correct Answer is:B
Solution Explain:








Q.24

Correct Answer is:A
Solution Explain:









Q.25

Correct Answer is:C
Solution Explain:











Q.26

Correct Answer is:A
Solution Explain:










Q.27

Correct Answer is:B
Solution Explain:








Q.28

Correct Answer is:B
Solution Explain:








Q.29

Correct Answer is:C
Solution Explain:












Q.30

Correct Answer is:B
Solution Explain:









Q.31

Correct Answer is:C
Solution Explain:








Q.32

Correct Answer is:C
Solution Explain:








Q.33

Correct Answer is:C
Solution Explain:










Q.34

Correct Answer is:B
Solution Explain:








Q.35

Correct Answer is:D
Solution Explain:







Q.36

Correct Answer is:B
Solution Explain:










Q.37

Correct Answer is:D
Solution Explain:










Q.38

Correct Answer is:C
Solution Explain:











Q.39

Correct Answer is:C
Solution Explain:

(1 + x2)4(1+ x3)7(1 + x4)12 = (4C0 + 4C1x2 + 4C2x4 + 4C3x6 + 4C4 x8)
(7C0 + 7C1x3 + 7C2x6 + 7C3x9 + ……)(12C0 + 12C1x4 + 12C2x8 + ……..)
⇒ coefficient of x11 in (1 + x2)4(1 + x3)7(1 + x4)12
4C0 × 7C1 × 12C2 + 4C1 × 7C3 × 12C0 + 4C2 × 7C1 × 12C1 + 4C4 × 7C1 × 12C0
= 1 × 7 × 66 + 4 × 35 × 1 + 6 × 7 × 12 + 1 × 7 × 1
= 462 + 140 + 504 + 7 = 1113











Q.40

Correct Answer is:D
Solution Explain:








Q.41

Correct Answer is:C
Solution Explain:








Q.42

Correct Answer is:A
Solution Explain:









Q.43

Correct Answer is:B
Solution Explain:






Q.44

Correct Answer is:D
Solution Explain:








Q.45

Correct Answer is:D
Solution Explain:









Q.46

Correct Answer is:A
Solution Explain:





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