• Statement −1 is false, Statement −2 is true

• Statement −1 is true, Statement −2 is true, Statement −2 is a correct explanation for Statement −1

• Statement −1 is true, Statement −2 is true; Statement −2 is not a correct explanation for Statement −1.

• Statement −1 is true, Statement −2 is true; Statement −2 is not a correct explanation for Statement −1.

In the binomial expansion of (a - b)n, n ≥ 5, the sum of 5th and 6th terms is zero, then
a/b equals

• 5/n −4

• 6 /n −5

• n -5 /6

• n -5 /6

The sum of the series ²⁰C₀ – ²⁰C₁ + ²⁰C₂ – ²⁰C₃ + …… - ….. + ²⁰C₁₀ is-

• – ²⁰C₁₀

• 

• 0

• 0

If the expansion in powers of x of the function  is a₀ + a₁x + a₂x² + a₃x³ + … , then an is

For natural numbers m, n if (1 − y)m (1 + y)n = 1 + a1y + a²y² + … , and a₁ = a₂ = 10, then (m, n) is

• (20, 45)

• (35, 20)

• (45, 35)

• (45, 35)

The value of ,where [x] denotes the greatest integer not exceeding x is

• af(a) − {f(1) + f(2) + … + f([a])}

• [a] f(a) − {f(1) + f(2) + … + f([a])}

• [a] f([a]) − {f(1) + f(2) + … + f(a)}

• [a] f([a]) − {f(1) + f(2) + … + f(a)}

If a₁, a₂, … , an are in H.P., then the expression a₁a₂ + a₂a₃ + … + a_n−1a_n is equal to

• n(a₁ − a_n)

• (n − 1) (a₁ − a_n)

• na₁a_n

• na₁a_n

If x^m.yⁿ = (x+y)^m+n, then dy/dx is

• y/x

• x+y/xy

• xy

• xy

189.

The coefficient of the middle term in the binomial expansion in powers of x of (1 +αx)⁴  and of (1−αx )⁶  is the same if α equals

• -5/3

• 3/5

• -3/10

• -3/10

• 
• 

• n-1

• n-1