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The number of complex no z such that abs...

The number of complex no z such that `abs(z-1)=abs(z-3)=abs(z-i)` is

A

a) 0

B

b) 3

C

c) 2

D

4) none of these

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The correct Answer is:
C
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PATHFINDER-COMPLEX NUMBERS-QUESTION BANK
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  2. The value of ((1+sqrt(-3))/2)^6+((1-sqrt(-3))/2)^9 is

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  3. The number of complex no z such that abs(z-1)=abs(z-3)=abs(z-i) is

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  4. The complex no z=x+iy satisfying the condition amp((z-i)/(z+i))=pi/4 l...

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  5. If z1 and z2 are two complex no. st abs(z1+z2) =abs(z1)+abs(z2) then

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  6. Let z1 and z2 are two complex nos s.t. abs(z1) =abs(z2)=1 then abs((z1...

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  7. The product of all the values of (1+isqrt3)^(3/4) is equal to

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  8. The value of (1-i)^(-2)-(1+i)^(-2) is

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  9. If p,q,r three complex nos. so that p+q+r =0 and abs(p)=abs(q)=absr=1 ...

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  10. The modulus of (x-iy)^2 is

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  11. If 2i^2+6i^3+3i^(16)-6i^(19)+4i^(25)=x+iy, then

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  12. The value of (cos(pi/10)+isin(pi/10))(cos((2pi)/10)+isin((2pi)/10))...

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  13. If (a+i)^2/(2a-1)=p+iq then find the values of (p^2+q^2)

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  14. If omega and omega^2 be the imaginary cube roots of unity then find th...

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  15. Value of i^(n)+i^(n+1)+i^(n+2)+i^(n+3)("when" i=sqrt(-1))-

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  16. If (1+i)(2+i)(3+i)………(n+i)=a+ib then show that 2.5.10……….(n^2+1)=a^2+...

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  17. Find the least possible integral value of n so that ((1+i)/(1-i))^n' i...

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  18. Find the amplitude of (sqrt3+i)

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  19. Find the value of sqrt([-3+sqrt(({-3+sqrt(-3+... "to infinity"}})]])

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  20. Express 1/(1-i)^3 in the form A+iB

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