Statement-1 (Assertion) and Statement-2 (Reason)
Each of the these examples also has four alternative choices ,
only one of which is the correct answer. You have to select the correct choice as given below .
Number of distinct terms in the
sum of expansion ` (1 + ax)^(10)+ (1-ax)^(10) ` is 22.

Options

A. Statement-1 is true ,Statement-2 is true, Statement-2 is a correct explanation for Statement-1
B. Statement-1 is true ,Statement-2 is true, Statement-2 is not a correct explanation for Statement-1
C. Statement-1 is true ,Statement-2 is false
D. Statement-1 is false ,Statement-2 is true

Answer

d

Explanation

Number of terms in the expansion of `(1 + x)^(n)`
in ` n+ 1AA n in N `
`because (1 + ax)^(10) + (1 + ax)^(10) = 2 {1 + ""^(10)C_(2) (ax)^(2)`
` + ""^(10)C_(4) (ax)^(4) + ""^(10)C_(4) (ax)^(4) + ""^(10)C_(6) (ax)^(6) + ""^(10)C_(8) (ax)^(8) + ""^(10)C_(10) (ax)^(10)}`
` therefore ` Number of distinct terms = 6
`rArr ` Statement-1 is false but Statement-2 is obviously true .