Call me

Have a Query? We will call you right away.

+91

E.g: 9876543210, 01112345678

We will give you a call shortly, Thank You

Office hours: 9:00 am to 9:00 pm IST (7 days a week)

What are you looking for?

Syllabus

Find the term independent of x in the expansion of (2x - 1/x)

^{10}Find the sixth term of the expansion (y

^{1/2}+ x^{1/3})^{n}, if the binomial coefficient of the third term from the end is 45.the second, third and fourth term of the binomial expansion (x+a)n (n is actually (x+a)raised to the power n) are 240, 720 and 1080. find x, a and n.

if three successive coefficients in the expressions of (1+x)

^{n}are 220, 495 and 792 respectively, find the value of n?If the coeffients of 5th, 6th & 7th terms in expansion of (1+x)

^{n}are in AP, then find values of n???^{2})^{4}the coefficient of x

^{4}in the expansion of (1+x+x^{2}+x^{3})^{11}is :a) 900 b)909

c) 990 d)999

If 3rd,4th,5th,6th term in the expansion of (x+alpha)

^{n}be respectively a,b,c and d, prove that b^{2}-ac/c^{2}-bd=4a/3c..the first three terms in the expansion of (x+y)^n are 1,56,1372 respectively.Find x and y

if 4th term in the expansion of ( ax+1/x)

^{n }is 5/2, then the values of a and n :a) 1/2,6 b) 1,3

c) 1/2,3

in the binomial expansion of (a + b)

^{n}, the coefficient of the 4th and the 13th terms are equal to each other. find n?The coefficients of three consecutive terms in the expansion of(1+x)

^{n}are in the ratio 1:7:42. find n.^{3})((3/2)x^{2}- 1/3x)^{9.}Show that the middle term in the expansion of(1+x)raise to power 2n is = 1.3.5.......(2n-1) . 2n.xraise to power n upon n! , where nis a +ve integer.

Using Binomial theoram, prove that 2

^{3n }- 7n^{}-1 is divisible by 49 where n is a Natural number^{n}C_{1}+ 2.^{n}C2 + 3.^{n}C_{3}+...+^{}n.^{n}C_{n}= n.2^{n}solve this

if the coefficients of (r-5)

^{th}and (2r-1)^{th}term in the expansion of (1+x)^{34}are equal, fiind rusing binomial therorem, 3

^{2n+2}-8n-9 is divisible by 64, n belongs to N(1+2x+x^2)^20

^{2})^{4}(1+x^{3})^{7}(1+x^{4})^{12 }??^{2})^{n}in a series of ascending powers of x upto and including the terms in x^{2}Find

a,bandnin the expansion of (a+b)^{n}if the first three terms of the expansion are 729, 7290 and 30375, respectively.$ThecorrectformultocalculatethehydroxylionconcentrationofanaqueoussolutionofN{H}_{4}N{O}_{3}is:\phantom{\rule{0ex}{0ex}}\left(a\right)\sqrt{\frac{C\times {K}_{w}}{{K}_{b}}}\phantom{\rule{0ex}{0ex}}\left(b\right)\sqrt{\frac{{K}_{w}\times {K}_{b}}{C}}\phantom{\rule{0ex}{0ex}}\left(c\right)\sqrt{\frac{C\times {K}_{w}}{{K}_{a}}}\phantom{\rule{0ex}{0ex}}\left(d\right)\sqrt{\frac{{K}_{a}\times {K}_{w}}{C}}$

Find the middle term in the expansion: (1 -2x +x

^{2})^{n }Find the value of nC0 - nC1 + nC2 - nC3 +.................+(-1)^n nCn

Find

n, if the ratio of the fifth term from the beginning to the fifth term from the end in the expansion of_{1}/C_{0}) + (2C_{2}/C_{1}) + ( 3C_{3}/ C_{2}) +.... + nC_{n}/C_{n-1}= ? Pls solve using summation method. ThanksThe cofficient of three consecutive terms in the expansion of (1+x)

^{n}are in the ratio 1:7:42.find n?^{-17 }on the expansion of (x^{4}-1/x^{3})^{15.}.^{1/3}+x^{-1/5)}^{8.}^{8}*y16 in the expansion of (x+y)^{18.}Using binomial theoram ,show that 9

^{n+1}-8n-9 is divisible by 64 ,whr n is a positive integer.^{2}-x^{3}/6)^{7}The sum of the coefficients of the first three terms in the expansion of (x-3/x. (NCERT PG 174 EXAMPLE NO 16). The steps in the NCERTbook are not clear..^{2})^{m}, x is not equal to 0,m being a natural number, is 559. Find the term of the wxpansion containing x^{3}find the first three terms in the expansion of [2+x(3+4x)]^5 in ascending power of x.

the coefficients of 2nd, third and fourth terms in the expansion of (1+n)^2n are in AP.Prove that 2n^2-9n+7=0

The 3rd, 4th and 5th terms in the expansion of (x + a)n are respectively 84, 280 and 560, find the values of x, a and n.

For what value of

mthe coefficients of (2m+1)^{th}and (4m+5)^{th}terms, in the expansion of (1+x)^{th}, are equal?The first 3 terms in the expansion of (1+ax)

^{n}are 1, 12x, 64x^{2}respectively, Find n and 'a' .^{10}in (1-x^{2})^{10}and the term independent of x in (x-2/x)^{10}is 1 :32 .if C1, C2, c3, C4 are the coefficient of 2nd, 3rd , 4th , and 5th , term in the expansion of (1+x)raise to "n" then prove that

C1/C1+c2 + c3/c3+c4 = 2c2/c2+c3 ((((((((((((((((((((( where c1+c2 , c3 +c4 and c2 + c3 are together under the division THAT IS C1 BY C1 +C2 etc.))))))))))))

Find the coefficient of

x^{5}in the product (1 + 2x)^{6}(1 –x)^{7}using binomial theorem.Find the coefficient of x

^{50 }in the expansion :(1+x)

^{1000}+ 2x(1+x)^{999}+3x^{2}(1+x)^{998}+…………………..+1001x^{1000}The sum of two numbers is 6 times their geometric mean show that the numbers are in the ratio

(3+2.2^{1/2}):(3-2.2^{1/2})^{n}are respectively 112,7 and 1/4,find x, a and n.This is my doubt:

Find a if the coefficients of x

^{2}and x^{3}in the expansion of (3+ax)^{9 }are equal.Thanks a lot. =)

^{9}SOLVE

1) C1+2C2+3C3+--------+nCn=n2 to power n-1

a) 10

b) 20

c) 210

d) none of these

using binomial theorem prove that 6

^{n}-5n always remender -1when divided by 25Show that 2

^{4n}-15n-1 is divisible by 225 by using binomial theorem.show that the coefficient of the middle term in the expansion of (1+x)^2n is equal to the sum of the coefficients of two middle terms in the expansion (1+x)^2n-1.

please give the blueprint of annual examination of maths paper.

Find the coefficient of x^{9}in the expansion of [x^{2}-(1/3x)]^{9 Plz help}( 3x + y )^8 - ( 3x-y )^8

Find the fifth term from the end in the expansion of (x

^{3}/2 - 2/x^{2})^{9}If T

_{r}denotes the rth term in the expansion of (1+x)^{n}in ascending powers of x ( n being a natural number), prove thatr(r+1)T

_{r+2}=(n-r+1)(n-r)x^{2}T_{r}given hint T

_{r}=^{n}C_{r-1}x^{r-1}and T_{r+2}=^{n}C_{r+1}x^{r+1}find the coefficient of x

^{n}in the expansion of(1+x)(1-x)^{n}How to find the middle term in the expansion of (1-(1/x))^n(1-x)^n

any 3 successive coefficient in the expansion of (1+x)^n where n is a positive integer are 28,56,70 then n is

using binomial theorem determine whch number is larger 1.2^4000 or 800?

if the 21st and 22nd terms in the expansion of (1+x)^44 are equal then find the value of x.

find the [n+1]th term from the end in the expansion of [x-1/x]^3n

The no of irrational terms in the expansion of (4

^{1/5}+ 7^{1/10})^{45 }are??????prove that

^{n}C_{r}+^{n}C_{r-1}=^{n+1}C_{r}prove that the term independent of x in the expansion of (x+1/x)^2n is 1.3.5......(2n-1)/n! .2^n

Show that the middle term in the expansion of (1+x)^2n is x^n . 1.3..5----(2n-1)/n! 2^n where 'n' is a +ve integer

1. Find the total no. of terms in the expansion of (x+a)^100 + (x-a)^100after simplification

Prove that the coefficient of

x^{n}in the expansion of (1 +x)^{2}^{n}is twice the coefficient ofx^{n}in the expansion of (1 +x)^{2}^{n}^{–1 }.If (1+ x - 2x^2)^6 = 1+ a1x + a2x^2 +.........+ a(12)x^12, then prove that a2+a4+a6+........+a12 = 31

Find a if the coefficients of x

^{2}and x^{3}in the expansion of (3+ax)^{9}are equal.