If a and b are real numbers suchthat (2 + α)4 = a + bα, where α = - 1 + i32 then a + b is equal to :
33
24
9
57
Let λ ≠ 0 be in R. If α and β are the roots of the equation, x2 – x + 2λ = 0 and α and γ are the roots of the equation, 3x2 – 10x + 27λ = 0, then βγλ is equal to
27
36
18
If α is the positive root of the equation, p(x) = x2 – x – 2 = 0, thenlimx→α1 - cospxx + α - 4 = ?
32
12
The product of the roots of the equation 9x2 – 18|x| + 5 = 0 is
2581
527
259
59
If the four complex numbers z, z, z - 2Rez and z - 2Rez represent the vertices of a square of side 4 units in the Argand plane, then |z| is equal to :
4
2
42
22
If α and β are the roots of the equation, 7x2 – 3x – 2 = 0, then the value of α1 - α2 + β1 - β2 is equal to
124
2736
2716
38
The value of - 1 + i31 - i30 is :
65
215i
- 215
- 215i
The region represented by z = x + iy ∈ C : z - Rez ≤ 1 is also given by the inequality
y2 ≥ 2x + 1
y2 ≤ x + 12
y2 ≤ 2x + 1
y2 ≥ x + 1
If α and β are the roots of the equation 2x(2x + 1) = 1, then β is equal to :
2αα - 1
2αα + 1
2α2
- 2αα + 1