If `ac lt b^2` then the sum of the coefficient in the expansion of `(a alpha^2 x^2+ 2b alpha x+c)^n` is `(a, b,c, alpha in R and n in N)`

If the sum of the coefficient in the expansion of (alpha^(2)x^(2)-2 alpha x+1)^(51) vanishes,then find the value of alpha

If the sum of the coefficients in the expansion of (alpha^(2)x^(2)-2 alpha x+1)^(51) vanishes, then find the value of alpha .

Maximum sum of coefficient in the expansion of (1-x sin theta+x^(2))^(n) is 1 b.2^(n) c.3^(n) d.0

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 =

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 =

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 =

alpha is root of x^2+x+1 then sum of terms in expansion of (1+alpha)^7=a+b alpha+ c alpha^2 then 5(3a-2b-c)

If the sum of the coefficients in the expansion of (1 -3x + 10x^2)^(n) is a and the sum of the coefficients in the expansion of (1 - x^(2))^(n) is b , then

If the sum of the coefficients in the expansion of (1-3x+10x^2)^n is a and if the sum of the coefficients in the expansion of (1+x^2)^n is b, then