`0`
`1`
`i`
`-i`
`2`
`2i`
`-2i`
`i`
`i`
`-i`
`0`
`i - 1`
`1`
`3`
`4`
`5`
`0`
`1`
`-1`
None of these
`1`
`-1`
`i`
`-i`
` (1 +i)/2`
` (1 - i)/2`
` (1 +i)/sqrt(2)`
None of these
`-8`
`8`
`8i`
`-8i`
i+1
i-1
-i+1
None of these
`16`
`12`
`8`
`4`
`3`
`4`
`6`
None of these
`0 `
`1``
`2`
`4`
`1, 0`
`1, 1`
`2, 0`
`2, 1`
`6`
`12`
`18`
`36`
`3`
`2`
`1`
`0`
Only `1`
Only `2`
Only `3`
None of these
` (3pi)/4`
`pi/4`
` (5pi)/6`
` - (3pi)/4`
greater than the quotient of their moduli
less than the quotient of their moduli
less than or equal to the quotient of their moduli
equal to the quotient of their moduli
`z = 1 + i`
`|z | = 2`
`z =1 - i`
`|z | = 1`
` (|z|)/2`
`|z|`
`2 |z|`
None of these
`arg (z_1)=arg(z_2)`
`arg(z_1)+arg(z_2)=pi/2`
`z_1z_2=1`
`|z_1|=|z_2|`
`3`
`1//2`
`1`
None of these
`0`
`1`
`2`
None of these
a circle
an ellipse
a hyperbola
a parabola
`0`
`pi/2`
`pi`
`(3pi)/2`
Only I
Only II
Both I and II
Neither I nor II
`1`
`sqrt(5)`
`sqrt(3)`
`5`
`3/5`
`9/(25)`
`3/(25)`
`5/3`
`2 cos \ pi/5`
`2 sin \ pi/5`
`2 cos \ pi/(10)`
`2 sin \ pi/(10)`
`sec alpha`
`- sec alpha`
`sec^2 alpha`
`- sec^2 alpha`
`pi/2 - theta/2`
`pi/2 + theta/2`
`pi/4 - theta/2`
`pi/4 + theta/2`
`(5 pi)/4`
`- (5 pi)/4`
`(3 pi)/4`
None of these
`0`
`pi/4`
`- pi/4`
`pi/2`
`2sqrt(3) + 2i`
`2sqrt(3) - 2i`
`- 2sqrt(3) + 2i`
`- sqrt(3) + i`
A pair of straight lines
A line
A set of four straight lines
A circle
`0`
`4`
`6`
`10`
`sqrt3 +1`
`sqrt5 +1`
2
`2 + sqrt2`
`sqrt3`
`sqrt3 + sqrt2`
`sqrt3 + 1`
`sqrt3 -1`
`-8`
`0`
`4`
`8`
The real part of z is zero
The imaginary part of z is zero
The real part of z is equal to imaginary part of z
The sum of real and imaginary parts of z is z
`0`
`-1`
`1`
`8`
Only 1
Only 2
Both 1 and 2
Neither 1 nor 2
`x= 3, y = - 3`
`x = - 3, y = 3`
`x = - 3, y = -3`
`x = 3, y = 3`
`x - iy`
`x + iy`
`2x`
`-2iy`
`1 + i`
`1 - i`
` (sqrt(3)(1 - i))/ 2`
` (sqrt(3) - i)/2`
`4`
`-4`
`8`
`-8`
`2`
`3`
`4`
zero
one
two
three
Five
`i`
`-i`
`0`
`1`
one solution
3 solutions
2 solutions
no solution
`1`
`2`
`3`
`oo`
`3/2-2i`
`3/2+2i`
`2-3/2i`
None of these
`2`
`3`
`4`
None of these
`1`
`2`
`3`
`4`
`1`
`-1`
`i`
`-i`
`-2`
`- 1`
`0`
`2`
`1`
`3omega`
`3 omega`
`0`
`0`
`1/2`
`sqrt3/2`
`1`
1
`omega`
`omega^2`
`i omega ` , where ` i = sqrt (-1)`
`2`
`-1`
`-2`
`1`
`3`
`1`
`-1`
`-3`
`-9/8`
`6`
`-18`
`36`
`-1`
`0`
`1`
`2`
`(x -1) (x - omega ) (x + omega^2 )`
`(x -1) (x - omega ) (x - omega^2 )`
`(x -1) (x + omega ) (x + omega^2 )`
`(x -1) (x + omega ) (x - omega^2 )`
`-1`
`0`
`1`
`2`
`a/b`
`b`
`omega`
`omega^2`
`x^2 - x + 1 = 0`
`x^2 + x + 1 = 0`
`x^2 + x - 1 = 0`
`x^2 - x - 1 = 0`
`alpha`
`alpha^2`
`0`
`1`
`z = 0` or `omega = 0`
`z = 0` and `omega = 0`
`z. bar omega` is purely real
`z · bar omega` is purely imaginary
`1`
`0`
`omega`
`omega^2`
Assertion : ` ( ( -1 + sqrt(-3))/2)^(29) + ( ( -1 - sqrt(-3))/2)^(29) = -1`
Reason : `omega^2 = -1`
`1`
`-1`
`2`
`-2`
`2 omega - 3i`
`3 omega - 2i`
`2 omega + 3i`
`3 omega - 2i`
Only I
Only II
Both I and II
Neither I nor II
`-2`
`-1`
`0`
`1`
`-1`
`0`
`1`
`2`
`1`
`2`
`2^(24)`
`2^(48)`
`3^(27) omega`
`- 3^(27) omega^2`
`3^(27)`
`- 3^(27)`
`0`
`1`
`2`
`3`
`-1`
`0`
`1`
`4`
`omega`
`-omega^2`
`-omega`
`0`
`(3n)/(omega -1)`
`3n (omega -1)`
`(omega -1)/(3n)`
`0`
`0`
`-1`
`1`
`i`
`1`
`-3`
`-1`
`7`
`1`
`-1`
`i `
`-i`
`-cos 3x`
`-sin 3x`
`sin 3x`
`cos 3x`
`1`
`1//6`
`6`
`2`
`-1`
`0`
`1`
`2`
`cos n pi- i sin n theta`
`cos n theta + i sin n theta`
`cos 2n theta - i sin 2n theta`
`cos 2ntheta + i sin 2n theta`
`1`
`-1`
`-i`
`i`
`2 + i`
`2 - i`
`- 2 + i`
`- 3 - i`
`± (1 + i)`
`± (1 - i)`
`± i`
`± 1`
`pm ( sqrt(3)/2 + i/2)`
`pm ( sqrt(3)/2 - i/2)`
`pm ( 1/2 + i sqrt(3)/2 )`
`pm ( 1/2 - i sqrt(3)/2 )`
`1 + 4 i`
`4 + i`
`1- i`
`-1- i`
centre `(- 3,- 1)` and radius `3`
centre `(- 3, 1)` and radius `3`
centre `(- 3,- 1)` and radius `4`
centre `(- 3, 1)` and radius `4`
It passes through the origin
It is parallel to the X-axis
It is parallel to the Y-axis
It passes through (0, b)