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The locus represented by the equation ab...

The locus represented by the equation `abs(z-1)=abs(z-i)` is

A

a circle of radius 1

B

an ellipse with foci 1 and (-1)

C

a line through the origin

D

a circle on the line joining 1 and (-1) as diameter

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The correct Answer is:
C
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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
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  7. Let z1 and z2 be the nth roots of unity which subtend a right angle at...

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  8. If x^5=(4-3i)^5 thrn the product of all of its roots (wheretheta=-tan^...

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  10. If omega(ne1) be a cube root of unity and (1+omega^2)^n=(1+omega^4)^n ...

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  11. If absz=1 and z ne+-1 then all the values of z/(1-z^2) lie on

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  12. If (1+2i)/(2+i)=r(costheta+isintheta) then

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  13. If z1=a+ib and z2=c+id are two complex numbers lying on the circle x^...

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  14. Number of solution(s) of the equation absz^2+7z=0 is/are

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  15. If z1=9y^2-4-10ix,z2=8y^2-20i where z1=barz2 then z=x+iy is equal to

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  16. Let z1,z2,z3 be three points on absz=1 let theta1,theta2 and theta3 be...

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  17. If z1,z2 are two non zero complex numbers such that z1/z2+z2/z1=1 then...

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  18. The complex numbers z1,z2 and z3 satisfying (z1-z3)/(z2-z3)=(1-isqrt3)...

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  20. If the points A(z),B(-z),C(1-z) are the vertices of an equilateral tri...

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