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

• X

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 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

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

The angle between the lines whose direction cosines satisfy the equations l +m+n=0 and l² = m²+n² is

• π/3

• π/4

• π/6

• π/6

Three positive numbers form an increasing GP. If the middle term in this GP is doubled, then new numbers are in AP. Then, the common ratio of the GP is

8.

• π/2

• 1

• -π

• -π

If (10)⁹ +2 (11)²(10)⁷ + .....+10 (11)⁹ = K(10)⁹, then k is equal to

• 121/10

• 441/100

• 100

• 100

If PS is the median of the triangle with vertices P(2,1), Q(6,-1) and R (7,3), then equation of the line passing through (1,-1) and parallel to PS is

• 4x-7y - 11 =0

• 2x+9y+7=0

• 4x+7y+3 = 0

• 4x+7y+3 = 0