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

117886 The equation |zi|=|z1|,i=1, represents

1 a circle of radius 12
2 line passing through the origin with slope 1
3 a circle of radius 1
4 line passing through the origin with slope -1
Complex Numbers and Quadratic Equation

117823 If (5+3i)33=249z, then modulus of the complex number z is equal to

1 1
2 2
3 22
4 4
Complex Numbers and Quadratic Equation

117811 If α is an nth  root of unity, other 1 , then 1+2α +3α2++nαn1 equals

1 n1α
2 n1α
3 n(1α)2
4 none of these
Complex Numbers and Quadratic Equation

117812 If zr=cos21π5+isin21π5,r=0,1,2,3,4, then z0 z1z2z3z4 is equal to

1 -1
2 0
3 1
4 none of these
Complex Numbers and Quadratic Equation

117886 The equation |zi|=|z1|,i=1, represents

1 a circle of radius 12
2 line passing through the origin with slope 1
3 a circle of radius 1
4 line passing through the origin with slope -1
Complex Numbers and Quadratic Equation

117823 If (5+3i)33=249z, then modulus of the complex number z is equal to

1 1
2 2
3 22
4 4
Complex Numbers and Quadratic Equation

117810 If x36x2+12x+19=0 and ω is a non-real cube root of 1 , then x=

1 -1
2 23ω
3 23ω2
4 (a) or (b) (c)
Complex Numbers and Quadratic Equation

117811 If α is an nth  root of unity, other 1 , then 1+2α +3α2++nαn1 equals

1 n1α
2 n1α
3 n(1α)2
4 none of these
Complex Numbers and Quadratic Equation

117812 If zr=cos21π5+isin21π5,r=0,1,2,3,4, then z0 z1z2z3z4 is equal to

1 -1
2 0
3 1
4 none of these
Complex Numbers and Quadratic Equation

117886 The equation |zi|=|z1|,i=1, represents

1 a circle of radius 12
2 line passing through the origin with slope 1
3 a circle of radius 1
4 line passing through the origin with slope -1
Complex Numbers and Quadratic Equation

117823 If (5+3i)33=249z, then modulus of the complex number z is equal to

1 1
2 2
3 22
4 4
Complex Numbers and Quadratic Equation

117810 If x36x2+12x+19=0 and ω is a non-real cube root of 1 , then x=

1 -1
2 23ω
3 23ω2
4 (a) or (b) (c)
Complex Numbers and Quadratic Equation

117811 If α is an nth  root of unity, other 1 , then 1+2α +3α2++nαn1 equals

1 n1α
2 n1α
3 n(1α)2
4 none of these
Complex Numbers and Quadratic Equation

117812 If zr=cos21π5+isin21π5,r=0,1,2,3,4, then z0 z1z2z3z4 is equal to

1 -1
2 0
3 1
4 none of these
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Complex Numbers and Quadratic Equation

117886 The equation |zi|=|z1|,i=1, represents

1 a circle of radius 12
2 line passing through the origin with slope 1
3 a circle of radius 1
4 line passing through the origin with slope -1
Complex Numbers and Quadratic Equation

117823 If (5+3i)33=249z, then modulus of the complex number z is equal to

1 1
2 2
3 22
4 4
Complex Numbers and Quadratic Equation

117810 If x36x2+12x+19=0 and ω is a non-real cube root of 1 , then x=

1 -1
2 23ω
3 23ω2
4 (a) or (b) (c)
Complex Numbers and Quadratic Equation

117811 If α is an nth  root of unity, other 1 , then 1+2α +3α2++nαn1 equals

1 n1α
2 n1α
3 n(1α)2
4 none of these
Complex Numbers and Quadratic Equation

117812 If zr=cos21π5+isin21π5,r=0,1,2,3,4, then z0 z1z2z3z4 is equal to

1 -1
2 0
3 1
4 none of these
Complex Numbers and Quadratic Equation

117886 The equation |zi|=|z1|,i=1, represents

1 a circle of radius 12
2 line passing through the origin with slope 1
3 a circle of radius 1
4 line passing through the origin with slope -1
Complex Numbers and Quadratic Equation

117823 If (5+3i)33=249z, then modulus of the complex number z is equal to

1 1
2 2
3 22
4 4
Complex Numbers and Quadratic Equation

117810 If x36x2+12x+19=0 and ω is a non-real cube root of 1 , then x=

1 -1
2 23ω
3 23ω2
4 (a) or (b) (c)
Complex Numbers and Quadratic Equation

117811 If α is an nth  root of unity, other 1 , then 1+2α +3α2++nαn1 equals

1 n1α
2 n1α
3 n(1α)2
4 none of these
Complex Numbers and Quadratic Equation

117812 If zr=cos21π5+isin21π5,r=0,1,2,3,4, then z0 z1z2z3z4 is equal to

1 -1
2 0
3 1
4 none of these