The complex number lies in which quadrant of the complex plane ?
First
Second
Third
Fourth
If roots of equation x2 - 5x + 16 = 0 are ∝,β and roots of equation x2 + px + q = 0 are ∝2 + β2 and ∝β/2 then
p = 1 and q = -56
p = -1 and q = -56
p= 1 and q = 52
p = -1 and q = 56
For real value of x, the function will assume all real values provided
a > b > c
a < b < c
a > b < c
a < c < b and a> c > b
If be the conjugate of the complex number z, then which of the following relations is false?
The polar form of complex number 1 + i is
√2 (cos π/4 + i sin π/4 )
√2 (cos 2π/4 + i sin 2π/4
√2 (cos π/4 - i sin π/4 )
√3 (sin 2π/4 + i cos 2π/4)
The sum of the three cube roots of unity is
1
-1
0
ω
(3 - 7i)2 is
40 + 42i
42 + 40i
-40 - 42i
-40 + 42i
The value of ω28 + ω29 + 1 is
ω2
The no. of solution for the equation x2 - 5 |x| + 6 = 0 is
4
3
2
Let p, q ∈{1, 2, 3, 4, 5}. The no. of equations of the form px2 + qx + 1 = 0, having real root is
7
8
9
15
