Binomial Theorem - Algebra -Single Correct Type Questions(JEE ADVANCED) Part 1

 Q.1

Correct Answer is:D
Solution Explain:










Q.2

Correct Answer is:C
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:B
Solution Explain:










Q.7

Correct Answer is:B
Solution Explain:








Q.8

Correct Answer is:D
Solution Explain:

We have (2x+x2)n = [(1+x)2 –1]n
⇒ xn(2 + x )n = (1+x)2n – nC1(1+x)2n–2 +nC2 (1+x)2n–4 – nC3(1 +x)2n–6 +. . . + (–1)n nC...(1)
Comparing the coefficient of xn on both sides, we have
2nCn – nC1.2n–2Cn +nC2.2n – 4Cn – . . . . = 2n.









Q.9

Correct Answer is:B

Solution Explain:











Q.10

Correct Answer is:A
Solution Explain:











Q.11

Correct Answer is:A
Solution Explain:










Q.12

Correct Answer is:D
Solution Explain:










Q.13

Correct Answer is:D
Solution Explain:









Q.14

Correct Answer is:C
Solution Explain:








Q.15

Correct Answer is:D
Solution Explain:










Q.16

Correct Answer is:A
Solution Explain:









Q.17

Correct Answer is:A
Solution Explain:









Q.18

Correct Answer is:D
Solution Explain:









Q.19

Correct Answer is:C
Solution Explain:










Q.20

Correct Answer is:A
Solution Explain:









Q.21

Correct Answer is:A
Solution Explain:









Q.22

Correct Answer is:B
Solution Explain:










Q.23

Correct Answer is:D
Solution Explain:








Q.24

Correct Answer is:D
Solution Explain:








Q.25

Correct Answer is:A
Solution Explain:









Q.26

Correct Answer is:D
Solution Explain:










Q.27

Correct Answer is:B
Solution Explain:








Q.28

Correct Answer is:B
Solution Explain:










Q.29

Correct Answer is:A
Solution Explain:









Q.30

Correct Answer is:D
Solution Explain:









Q.31

Correct Answer is:D
Solution Explain:








Q.32

Correct Answer is:D
Solution Explain:









Q.33

Correct Answer is:A
Solution Explain:









Q.34

Correct Answer is:C
Solution Explain:









Q.35

Correct Answer is:B
Solution Explain:










Q.36

Correct Answer is:A
Solution Explain:

If number of boys is b and that of girls is g then b + g = 4k and  (bCk) (gCk) is maximum that is possible when b = g = 2k hence statement (i) and (ii) is true.









Q.37

Correct Answer is:A

Solution Explain:








Q.38

Correct Answer is:A
Solution Explain:









Q.39

Correct Answer is:D
Solution Explain:












Q.40

Correct Answer is:B
Solution Explain:





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