If X = {4ⁿ - 3n-1 : n ε N} and Y = {9(n-1):n εN}; where N is the set of natural numbers,then X U Y is equal to

• N

• Y-X

• X

• Y

If z is a complex number such that |z|≥2, then the minimum value of

• is equal to 5/2

• lies in the interval (1,2)

• is strictly greater than 5/2

• is strictly greater than 3/2 but less than 5/2

If a ε R and the equation - 3(x-[x]2 + 2(x-[x] +a² = 0(where,[x] denotes the greatest integer ≤ x) has no  integral solution, then all possible value of  lie in the interval

• (-1,0) ∪ (0,1)

• (1,2)

• (-2,-1)

• (-∞,-2) ∪ (2, ∞)

Let α and β be the roots of equation px² +qx r =0 p ≠0. If p,q and r are in AP and  = 4, then the value of |α- β| is

• 
• 
• 
• 

D.

If the coefficients of x³ and x⁴ in the expansion of (1+ax+bx²)(1-2x)¹⁸ in powers of x are both zero, then (a,b) is equal to

• 
• 
• 
• 

D.

In expansion of (1+ax+bx²)(1-2x)¹⁸,
Coefficient of x3 = Coefficient of x3 in (1-2x)¹⁸
+Coefficient of x² in a(1-2x)¹⁸
+Coefficient of x in b(1-2x)¹⁸
 = -