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if amp (z-1)/(z+1)=pi/3, then the locus ...

if amp `(z-1)/(z+1)=pi/3`, then the locus of z is

A

a straight line

B

an arc of a circle

C

major segment of a circle whose chord substends a angle `(2pi)/3` at its centre

D

a pair of lines

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The correct Answer is:
B, C
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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
  1. If amp(z1z2)=0 and absz1=absz2=1, then

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  2. if z1, z2, z3 are the vertices pf an equilateral triangle inscribed in...

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  3. if amp (z-1)/(z+1)=pi/3, then the locus of z is

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  4. If e^(ialpha)=cosalpha+isinalpha, then for the DeltaABC, the value of ...

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  5. The equation zbarz+(4-3i)z+(4+3i)barz+5=0 represents a circle of radiu...

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  6. Let z1 and z2 be two distinct complex numbers and let z= (1-t)z1+tz2 f...

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  7. The roots of the equation Z^3+1=0 are called cube roots of unity.Clear...

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  8. The roots of the equation Z^3+1=0 are called cube roots of unity.Clear...

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  9. LetA(z1),B(z2) and C(z3) be the three points in Argands plane The po...

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  10. LetA(z1),B(z2) and C(z3) be the three points in Argands plane The po...

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  11. Match List - I with List-II

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  12. Match List - I with List-II

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  13. If Argzlt0 then (Arg(-z)-Arg(z))/(pi(cos(pi/3)) is equal to

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  14. If s(n)=i^n+i^(-n) where i=sqrt(-1) and n is an integer then the total...

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  15. Let omega be the complex number cos(2pi/3)+isin(2pi/3) Then the number...

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  16. if z is any complex number satisfying abs(z-3-2i)le2 then the minimum ...

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  17. Ifomega is a nonreal cube root of unity then (a+bomega+cw^2)/(c+aome...

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  18. If(cosalpha+cosbeta+cosgamma)=0, sinalpha+sinbeta+singamma=0 then show...

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  19. If(cosalpha+cosbeta+cosgamma)=0, sinalpha+sinbeta+singamma=0 then show...

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  20. If 1,2,3 and 4 are the roots of the equation x^4+ax^3+bx^2+cx+d=0 then...

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