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Suppose z=x+iy where x and y are real nu...

Suppose z=x+iy where x and y are real numbers and `i=sqrt(-1)` the points (x,y) for which (z-1)/(z-i) is real lie on

A

an ellipse

B

a circle

C

a parabola

D

a straight line

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The correct Answer is:
D
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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
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  9. Let z be a complex number such that the imaginary part of z is non zer...

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  11. The maximum value of absz when the complex number z satisfies the cond...

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  12. If (3/2+isqrt3/2)^50=3^25(x+iy)where x and y are real then the order P...

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  13. If (z-1)/(z+1) is purely imaginary then

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  14. The points representing the complex number z for which arg((z-2)/(z+2)...

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

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  17. If omega(ne1) is a cube root of unity and (1+omega)^7=A+Bomega then (A...

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  18. For the real parameter t,the locus of the complex number z=(1-t^2)+isq...

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  19. If x+(1/x)=2costheta then for any integer n,x^n+1/x^n=

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