The roots for the equation a(x2 + 1) - (a2 + 1) x = 0 are
a and 1/a
a and 1/2a
a and 2a
a and -2a
In the diagram, if O,P and Q represent the origin and the complex numbers are z and z + iz , then the value of ∠OPQ is
π/4
π/3
π/2
2π/3
The value of (i)243 is equal to
i
-i
-1
1
The polar form of number - 3 is
- 3 (cos π + i sin π)
3 (cos π+ i sin π )
√3[cos (2π/3) - i sin (2π/3) ]
2√3[ cos (2π/3) + i sin (2π/3 ) ]
If Z1 and Z2 are two non-zero complex number such that |Z1 + Z2| = |Z1| + |Z2|, then arg (Z1) - arg (Z2) is equal to
-π
-π/2
0
If x is real, then the values of are
-1/3 and -1/13
1/13 and 1/3
-1/3 and 1/13
-1/13 and 1/3
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 x + iy = , then the value of (x2 + y2 ) is
If arg , then locus of this complex number is
Straight line
Circle
Parabola
Ellipse
Solution of √5 x2 + x √5 = 0 is
1 ± √19/5√5
-1 ± √19/2√5
-1 ± 5/2√5
None of these
