If sum of coefficients in the expression of α x 2 - 2 x + 1 35 is equal to sum of coefficients in the expansion of ( x - α y ) 35 , then α is equal to

Step-by-step solution

Let S 1 = α x 2 - 2 x + 1 35 S 2 = x - α y 35 Put x = y = 1 . Then, we get S 1 = α - 1 35 ⇒ S 1 = C 0 35 α 35 - 1 0 + C 1 35 α 34 - 1 2 + . . . . + C 35 35 - 1 35 And, S 2 = 1 - α 35 = - α - 1 35 ⇒ 2 α - 1 35 = 0 ⇒ α = 1