Modulus, Square Root and Argument of Complex Number
Complex Numbers and Quadratic Equation

117821 If α and β are different complex numbers with |β|=1, then |βα1α¯β| is equal to

1 2
2 1/2
3 1
4 1/3
Complex Numbers and Quadratic Equation

117822 If z is complex number of unit modulus and argument θ,then arg(1+z1+z¯) equals

1 π2θ
2 θ
3 πθ
4 θ
Complex Numbers and Quadratic Equation

117824 The modulus of [1cosθ+isinθ]1 is

1 12cosecθ2
2 cosecθ2
3 12|cosecθ2|
4 |cosecθ2|
Complex Numbers and Quadratic Equation

117825 If |z1|=|z2|=.|zn|=1, then the value of |z1+z2+.zn||1z1+1z2+.+1zn| is,

1 0
2 1
3 -1
4 None
Complex Numbers and Quadratic Equation

117826 The modulus of the complex number z such that |z+3i|=1 and arg(z)=π is equal to

1 3
2 2
3 9
4 4
Complex Numbers and Quadratic Equation

117821 If α and β are different complex numbers with |β|=1, then |βα1α¯β| is equal to

1 2
2 1/2
3 1
4 1/3
Complex Numbers and Quadratic Equation

117822 If z is complex number of unit modulus and argument θ,then arg(1+z1+z¯) equals

1 π2θ
2 θ
3 πθ
4 θ
Complex Numbers and Quadratic Equation

117824 The modulus of [1cosθ+isinθ]1 is

1 12cosecθ2
2 cosecθ2
3 12|cosecθ2|
4 |cosecθ2|
Complex Numbers and Quadratic Equation

117825 If |z1|=|z2|=.|zn|=1, then the value of |z1+z2+.zn||1z1+1z2+.+1zn| is,

1 0
2 1
3 -1
4 None
Complex Numbers and Quadratic Equation

117826 The modulus of the complex number z such that |z+3i|=1 and arg(z)=π is equal to

1 3
2 2
3 9
4 4
Complex Numbers and Quadratic Equation

117821 If α and β are different complex numbers with |β|=1, then |βα1α¯β| is equal to

1 2
2 1/2
3 1
4 1/3
Complex Numbers and Quadratic Equation

117822 If z is complex number of unit modulus and argument θ,then arg(1+z1+z¯) equals

1 π2θ
2 θ
3 πθ
4 θ
Complex Numbers and Quadratic Equation

117824 The modulus of [1cosθ+isinθ]1 is

1 12cosecθ2
2 cosecθ2
3 12|cosecθ2|
4 |cosecθ2|
Complex Numbers and Quadratic Equation

117825 If |z1|=|z2|=.|zn|=1, then the value of |z1+z2+.zn||1z1+1z2+.+1zn| is,

1 0
2 1
3 -1
4 None
Complex Numbers and Quadratic Equation

117826 The modulus of the complex number z such that |z+3i|=1 and arg(z)=π is equal to

1 3
2 2
3 9
4 4
Complex Numbers and Quadratic Equation

117821 If α and β are different complex numbers with |β|=1, then |βα1α¯β| is equal to

1 2
2 1/2
3 1
4 1/3
Complex Numbers and Quadratic Equation

117822 If z is complex number of unit modulus and argument θ,then arg(1+z1+z¯) equals

1 π2θ
2 θ
3 πθ
4 θ
Complex Numbers and Quadratic Equation

117824 The modulus of [1cosθ+isinθ]1 is

1 12cosecθ2
2 cosecθ2
3 12|cosecθ2|
4 |cosecθ2|
Complex Numbers and Quadratic Equation

117825 If |z1|=|z2|=.|zn|=1, then the value of |z1+z2+.zn||1z1+1z2+.+1zn| is,

1 0
2 1
3 -1
4 None
Complex Numbers and Quadratic Equation

117826 The modulus of the complex number z such that |z+3i|=1 and arg(z)=π is equal to

1 3
2 2
3 9
4 4
Complex Numbers and Quadratic Equation

117821 If α and β are different complex numbers with |β|=1, then |βα1α¯β| is equal to

1 2
2 1/2
3 1
4 1/3
Complex Numbers and Quadratic Equation

117822 If z is complex number of unit modulus and argument θ,then arg(1+z1+z¯) equals

1 π2θ
2 θ
3 πθ
4 θ
Complex Numbers and Quadratic Equation

117824 The modulus of [1cosθ+isinθ]1 is

1 12cosecθ2
2 cosecθ2
3 12|cosecθ2|
4 |cosecθ2|
Complex Numbers and Quadratic Equation

117825 If |z1|=|z2|=.|zn|=1, then the value of |z1+z2+.zn||1z1+1z2+.+1zn| is,

1 0
2 1
3 -1
4 None
Complex Numbers and Quadratic Equation

117826 The modulus of the complex number z such that |z+3i|=1 and arg(z)=π is equal to

1 3
2 2
3 9
4 4