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 :

(35,45)

`(20,45)`

(35, 20)

(45, 35)

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

MATHEMATICAL INDUCTION AND BINOMIAL THEOREM
MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos
MATHEMATICAL INDUCTION AND BINOMIAL THEOREM
MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|20 Videos
LIMITS AND CONTINUITY
MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Paper|12 Videos
MATHEMATICAL REASONING
MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos

Similar Questions

Explore conceptually related problems

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 (A)m n(C)m+n=80(D)m-n=20

For natural numbers m,n,quad if(1-y)^(m)(1+y)^(n)=1+a_(1)y+a_(2)y^(2)+..., and a_(1)=a_(2)=10, then m n c.m+n=80 d.m-n=20

For the natural number m, n, if ( 1- y ) ^(m) (1 + y) ^( n) =1 + a _(1) y + a _(2) y ^(2) + ...+ a _( m + n) y ^( m +n) and a _(1) = a _(2) = 10, then the value of (m+n) is equal to :

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

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

A sequence of real numbers a_(1), a_(2), a_(3),......a_(n+1) is such that a_(1)=0, |a_(2)|=|a_(1)+1|, |a_(3)|=|a_(2)+1| Then (a_(1)+a_(2)+.........+a_(n))/(n) cannot be equal to.

Evaluate underset( n rarroo)("lim") ((a_(1) + 1)/( a_(1))) ((a_(2) +1)/(a_(2))) "......." ((a_(n) +1)/( a_(n))) where a_(1) 1 and a_(n) = n ( 1+ a_(n-1) ) AA n ge 2

If [a] denotes the integral part of a and x = a_(3)y+ a_(2) z, y = a_(1) z + a_(3) z and z = a_(2) x + a_(1) y, where x , y, z are not all zero. If a_(1) = m - [m] , m being a non-integral constant, then a_(2)a_(2)a_(3) is

MCGROW HILL PUBLICATION-MATHEMATICAL INDUCTION AND BINOMIAL THEOREM-Questions from Previous Years. AIEEE/ JEE Main Papers

In the coefficients of rth, (r+1)t h ,a n d(r+2)t h terms in the binom...
Text Solution
|
Find the coefficient of x^(7) in the expansion of (ax^(2) + (1)/(bx...
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 sum of the series .^(20)C(0)-.^(20)C(1)+ .^(20)C(2)-.^(20)C(3)+...
Text Solution
|
In the binomial expansion of (a - b)^(n) , n ge 5 , the sum of the ...
Text Solution
|
The remainder left out when 8^(2n)""(62)^(2n+1) is divided by 9 is (1)...
Text Solution
|
The coefficient of x^(7) in the expansion of (1-x-x^(2) + x^(3))^(6) i...
Text Solution
|
If n is a positive integer, then (sqrt(3)+1)^(2n)-(sqrt(3)-1)^(2n) is ...
Text Solution
|
The coefficient of the term independent of x in the expansion of ((...
Text Solution
|
If the 7th tern in the binomial expansion of (3/((84)^(1/3)) +sqrt(3) ...
Text Solution
|
Given positive integers r>1,n> 2, n being even and the coefficient of...
Text Solution
|
The ratio of the coefficient of x^(15) to the term independent of x in...
Text Solution
|
The sum of the rational terms in the expansion of (sqrt(2)+ root(5...
Text Solution
|
The coefficients of x^3 and x^4 in the expansion of (1+ax+bx^2)(1-2x)^...
Text Solution
|
The number of terms in the expansion of (1+x)^(101) (1+x^2-x)^(100) in...
Text Solution
|
Find the coefficients of x^(50) in the expression (1+x)^(1000)+2x(1+x)...
Text Solution
|
If (2+x/3)^(55) is expanded in the ascending powers of x and the coeff...
Text Solution
|
If 1 +x^4 +x^5 =sum(i=0)^5 ai (1 + x)^i, for all x in R, then a2 is :
Text Solution
|
The coefficient of x^(1012) in the expansion of (1+x^(n)+x^(253)^(10),...
Text Solution
|
The sum of coefficients of integral powers of x in the binomial exp...
Text Solution
|