Home
Class 12
MATHS
If the sum of the coefficient in the exp...

If the sum of the coefficient in the expansion of
` (alpha x^(2) - 2x + 1)^(35)` is equal to the sum of the coefficient of the
expansion of `(x - alpha y)^(35)`, then `alpha` =

Text Solution

Verified by Experts

Given , sum of the coefficients in the expansion of
` (alpha x^(2) - 2x + 1)^(35)`
= Sum of the coefficients in the expasnion of `(x - alpha y)^(35)`
Putting x = y = 1 , we get ltbRgt ` (alpha - 1)^(35) = (1 - alpha)^(35)`
` rArr (alpha - 1) ^(35) = - (alpha - 1)^(35)`
`rArr (2 alpha - 1)^(35) = 0 `
`rArr (alpha - 1) = 0 `
` therefore alpha = 1` .
Promotional Banner

Similar Questions

Explore conceptually related problems

The sum of the coefficient in the expansion (1+x-3x^(2))^(4331) is ………

Sum of the coefficient in expansion (x+y+z)^n is 3^n .

The coefficient of x in expansion of (x^(2)+a/x)^(5) is ……….

The largest coefficient in the expansion of (1+x)^(30) is ………

Find the coefficient of x in the expansion of (1-3x+7x^(2))(1-x)^(16)

The coefficient of the x^(21) in the expansion of (x+x^(2))^(20) is ………

Find the coefficient of x^6 y^3 in the expansion of (x+2y)^9 .

If the coefficient of x^(7) in the expansion of (ax^(2) +1/(bx))^(11) is equal to the coefficient of x^(-7) in the expansion of (ax- 1/(bx^(2)))^(11) are equal then prove that ab = 1 .

Find the coefficient of x^(4) in the expansion of (1+x+x^(2)+x^(3))^(11)

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 of (1 + x)^(2n-1)