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The greatest term of the expansion (2x + 5y)13 where x = 10, y = 2 is1.2.3.4.NoneThe binomial expansion of nN contain a term independent of x :1.only if k is an integers2.only if k is a natural numbers.3.only if k is rational4.for any real k.The coefficient of x50 in (1 + x)41 (1 - x + x2)40 is1.12.23.34.0Given that the term of the expansion (x1/3 - x-1/2)15 which does not contain x is 5 m where mN , then m =1.11002.10103.10014.none0 out of 4 marks (content provider)Contributed byCorrect Answer: 3 Solution:Ans: 3Q. 8In the binomial (21/3 + 3-1/3)n, if the ratio of the seventh term from the beginning of the expansion to the seventh term from its end is 1/6 , then n =1.62.93.124.150 out of 4 marks (content provider)Contributed byCorrect Answer: 2 Solution:Ans: 2Q. 9The coefficient of x49 in the expansion of (x - 1) ..... is equal to1.- 22.+ ve coefficient of x3.- ve coefficient of x4.- 20 out of 4 marks (content provider)Contributed byCorrect Answer: 1 Solution:Ans: 1Q. 10The last digit of (3P + 2) is : where P = 34n and nN1.12.23.44.50 out of 4 marks (content provider)Contributed byCorrect Answer: 4 Solution:Ans: 4Q. 11The sum of the binomial coefficients ofis equal to 256 . The constant term in the expansion is1.11202.21103.12104.none0 out of 4 marks (content provider)Contributed byCorrect Answer: 1 Solution:Ans: 1Q. 12The coefficient of x4 inis :1.2.3.4.0 out of 4 marks (content provider)Contributed byCorrect Answer: 1 Solution:Ans: 1Q. 13If (1 + x + x2)25 = a0 + a1x + a2x2 + ..... + a50 . x50 then a0 + a2 + a4 + ..... + a50 is :1.even2.odd & of the form 3n3.odd & of the form (3n - 1)4.odd & of the form (3n + 1)0 out of 4 marks (content provider)Contributed byCorrect Answer: 1 Solution:Ans: 1Q. 14If the second term of the expansionis 14a5/2 then the value ofis :1.42.33.124.60 out of 4 marks (content provider)Contributed byCorrect Answer: 1 Solution:Ans: 1Q. 15If (1 + x) (1 + x + x2) (1 + x + x2 + x3) ...... (1 + x + x2 + x3 + ...... + xn)a0 + a1x + a2x2 + a3x3 + ...... + amxm thenhas the value equal to1.n!2.(n + 1) !3.(n - 1)!4.none0 out of 4 marks (content provider)Contributed byCorrect Answer: 2 Solution:Ans: 2Q. 16The value of 4 {nC1 + 4 . nC2 + 42 . nC3 + ...... + 4n - 1} is :1.02.5n + 13.5n4.5n - 10 out of 4 marks (content provider)Contributed byCorrect Answer: 4 Solution:Ans: 4Q. 17In the expansion of (1 + x)43 if the co-efficients of the (2r + 1)th and the (r + 2)th terms are equal, the value of r is :1.122.133.144.150 out of 4 marks (content provider)Contributed byCorrect Answer: 3 Solution:Ans: 3Q. 18The positive value of a so that the co-efficient of x5 is equal to that of x15 in the expansion ofis1.2.3.14.20 out of 4 marks (content provider)Contributed byCorrect Answer: 1 Solution:Ans: 1Q. 19In the expansion of, the term which does not contain x is :1.10C02.10C73.10C44.none0 out of 4 marks (content provider)Contributed byCorrect Answer: 3 Solution:Ans: 3Q. 20Co-efficient of t in the expansion of, ( + p)m - 1 + ( + p)m - 2 ( + q) + ( + p)m - 3 ( + q)2 + ...... ( + q)m - 1 where- q and pq is :1.2.3.4.0 out of 4 marks (content provider)Contributed byCorrect Answer: 2 Solution:Ans: 2

VISHWESH RAVI , 14 Years ago

Grade 12th Pass

3 Answers

VISHWESH RAVI

Last Activity: 14 Years ago

answer soon. pls !!!!!!!!!!!!!! its urgent by VISHWESH RAVI

Badiuddin askIITians.ismu Expert

Last Activity: 14 Years ago

Dear Vishesh

first calculate

r= (n+1)/{1+(x/a)}

here n = 13 , x= 2x = 2*10=20

a = 5y=5*2=10

so r = 14/3

integer value r=4

so Tr+1 will be the greatest term

i.e T₅

now T₅ =¹³C₄ 20⁹ 10⁴

please post seperate question in seperate post

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