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The sum of principal arguments of comple...

The sum of principal arguments of complex numbers `1+i,-1+isqrt3,-sqrt3-i,sqrt3-i,i,-3i,2,-1`is

A

`(11pi)/12`

B

`(13pi)/12`

C

`(12pi)/13`

D

`pi/15`

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The correct Answer is:
A
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AAKASH INSTITUTE-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-Assignment (Section -B) (objective Type Questions ( one option is correct)
  1. If f(x) =x^4-8x^3+4x^2+4x+39 and f (3 + 2i) = a + ib then a : b is eq...

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  2. If center of a regular hexagon is at the origin and one of the vertice...

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  3. The sum of principal arguments of complex numbers 1+i,-1+isqrt3,-sqrt3...

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  4. If z = cos"" pi/4+ isin (pi/6) ,then

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  5. If Z = (1+7i)/((2-i)^(2))then the polar form of z is

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  6. If a = cos theta + isin theta, b = cosphi + isinphi, c = cos psi + i s...

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  7. The value of (i+sqrt3)^(100)+(i-sqrt3)^(100)+2^(100) is

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  8. Which of the following is not true ?

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  9. The complex number z1,z2 and z3 satisfying (z1 - z3)/(z2 - z3) = ( 1 -...

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  10. Let a=i^i and consider the following statements S1: a=e^(-pi/2), S2:T...

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  11. If z^(2)+z+1=0 then the value of (z+1/z)^(2)+(z^(2)+1/z^(2))^(2)+(z...

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  12. If omega is an imaginary fifth root of unity, then find the value of l...

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  13. If 1,alpha1,alpha2,alpha3,.........,alpha(3n) be the roots of the equt...

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  14. If z(1),z(2),z(3),z(4) are two pairs of conjugate complex numbers, th...

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  15. If |z-4 +3i| le 2 then the least and the greatest values of |z| are q

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  16. If |z1|=2,|z2|=3,|z3|=4 and |2z1+3z2+4z3|=4 then the expression |8z2z3...

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  17. If z1 = cos theta + i sin theta and 1,z1,(z1)^2,(z1)^3,.....,(z1)^(n-1...

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  18. The area of the triangle whose vertices are represented by the complex...

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  19. The maximum value of |z| where z satisfies the condition |z+(2/z)|=2 i...

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  20. The value of (1-tan^2 15^@)/(1+tan^2 15^@) is

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