For natural numbers m, n if (1-y)^(m)(1+...

For natural numbers m, n if `(1-y)^(m)(1+y)^(n) = 1+a_(1)y+a_(2)y^(2) + "……."` and `a_(1) = a_(2) = 10`, then `(m,n)` is :

(35, 20)

(45, 35)

(35, 45)

(20, 45)

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

BINOMIAL THEOREM
VMC MODULES ENGLISH|Exercise LEVEL 2|50 Videos
BINOMIAL THEOREM
VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|14 Videos
BINOMIAL THEOREM
VMC MODULES ENGLISH|Exercise JEE Archive|56 Videos
CIRCLES
VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|68 Videos

Similar Questions

Explore conceptually related problems

If a_(0) = 0.4 and a_(n+1) = 2|a_(n)|-1 , then a_(5) =

If a_(n+1)=a_(n-1)+2a_(n) for n=2,3,4, . . . and a_(1)=1 and a_(2)=1 , then a_(5) =

If a_(1),a_(2),a_(3),a_(4),,……, a_(n-1),a_(n) " are distinct non-zero real numbers such that " (a_(1)^(2) + a_(2)^(2) + a_(3)^(2) + …..+ a_(n-1)^(2))x^2 + 2 (a_(1)a_(2) + a_(2)a_(3) + a_(3)a_(4) + ……+ a_(n-1) a_(n))x + (a_(2)^(2) +a_(3)^(2) + a_(4)^(2) +......+ a_(n)^(2)) le 0 " then " a_(1), a_(2), a_(3) ,....., a_(n-1), a_(n) are in

Let n in N . If (1+x)^(n)=a_(0)+a_(1)x+a_(2)x^(2)+…….+a_(n)x^(n) and a_(n)-3,a_(n-2), a_(n-1) are in AP, then :

Let n be positive integer such that, (1+x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x^(2)+….+a_(2n)x^(2n) , then a_(r) is :

If a_(1), a_(2), a_(3).... A_(n) in R^(+) and a_(1).a_(2).a_(3).... A_(n) = 1 , then minimum value of (1 + a_(1) + a_(1)^(2)) (a + a_(2) + a_(2)^(2)) (1 + a_(3) + a_(3)^(2))..... (1 + a_(n) + a_(n)^(2)) is equal to

Let (1 + x^(2))^(2) (1 + x)^(n) = a_(0) + a_(1) x + a_(2) x^(2) + … if a_(1),a_(2) " and " a_(3) are in A.P , the value of n is

If a_(1),a_(2),a_(3), . . .,a_(n) are non-zero real numbers such that (a_(1)^(2)+a_(2)^(2)+ . .. +a_(n-1).^(2))(a_(2)^(2)+a_(3)^(2)+ . . .+a_(n)^(2))le(a_(1)a_(2)+a_(2)a_(3)+ . . . +a_(n-1)a_(n))^(2)" then", a_(1),a_(2), . . . .a_(n) are in

Find the first five terms of the following sequences and write down the corresponding series (i) a_(n) = (1)/(5) (2n -3) (ii) a_(1) =a_(2) = 1 , a_(n) = a_(n-1) + a_(n-2) , n gt 2

Find a_(1) and a_(9) if a_(n) is given by a_(n) = (n^(2))/(n+1)

VMC MODULES ENGLISH-BINOMIAL THEOREM-LEVEL 1

The coefficient of the term independent of x in the exampansion of ((x...
Text Solution
|
Find the coefficient of x^5 in the expansion of (1+x^2)^5(1+x)^4.
Text Solution
|
For natural numbers m, n if (1-y)^(m)(1+y)^(n) = 1+a(1)y+a(2)y^(2) + "...
Text Solution
|
The term independent of x in (1+x)^m (1+1/x)^n is
Text Solution
|
Find the number of nonzero terms in the expansion of (1+3sqrt(2)x)^9+(...
Text Solution
|
Find the coefficient of x^(20) in (x^2+2+1/(x^2))^(-5)(1+x^2)^(40)dot
Text Solution
|
If x^m occurs in the expansion (x+1//x^2)^(2n) , then the coefficient ...
Text Solution
|
Find the coefficient of x^5 in the expansion of (1+x)^(21)+(1+x)^(22)+...
Text Solution
|
If n > 1 is an integer and x!=0, then (1 +x)^n-nx-1 is divisible by
Text Solution
|
The coefficient of x^5 in the expansion of (x^2-x-2)^5 is -83 b. -82 c...
Text Solution
|
The numberof integral termsin the expansion of ( (3)-root(8)(5))^256 i...
Text Solution
|
Find the coefficient of x^(13) in the expansion of (1-x)^5xx(1+x+x^2+x...
Text Solution
|
If the term independent of x in the (sqrt(x)-k/(x^2))^(10) is 405, the...
Text Solution
|
Find the positive integer just greater than (1+0. 0001)^(10000)dot
Text Solution
|
The term independent of a in the expansion of (1+sqrt(a)+1/(sqrt(a)-1)...
Text Solution
|
The coefficient of x^(53) in the expansion sum(m=0)^(100)^(100)Cm(x-3)...
Text Solution
|
In the binomial expansion of (a - b)^n , n ge 5 the sum of the 5th ...
Text Solution
|
The range of values of the term independent of x in the expansion ...
Text Solution
|
Find the sum +^(10)C1+^(10)C3+^(10)C5+^(10)C7+^(10)C9dot
Text Solution
|
Let n in N. If (1+x)^(n)=a(0)+a(1)x+a(2)x^(2)+…….+a(n)x^(n) and a(n)-3...
Text Solution
|