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If w = z/(z-1/3i) and |w| =1, then z lie...

If `w = z/(z-1/3i)` and |w| =1, then z lies on

A

an ellipse

B

a circle

C

a straight line

D

a parabola

Text Solution

Verified by Experts

The correct Answer is:
C
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MOTION-COMPLEX NUMBER -EXERCISE - 2 (LEVEL -I) OBJECTIVE PROBLEMS - JEE MAIN
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  2. I f|z|=max{|z-1|,|z+1|}, then

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  8. If z1 & z2 are two complex number & if arg (z1+z2)/(z1-z2)=pi/2 but |z...

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  9. If magnitude of a complex number 4 – 3i is tripled and is rotated by a...

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  11. The equation |z-1|^2+|z+1|^2=2 represents (1) a circle of radius 1(2) ...

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  12. The point z1=3+sqrt(3)ia d nz2=2sqrt(3)+6i are given on la complex pla...

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  13. The points of intersection of the two curves |z – 3| = 2 and |z| = 2 i...

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  14. The region of Argand diagram defined by |z – 1| + |z + 1| le 4 is

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  15. If w = z/(z-1/3i) and |w| =1, then z lies on

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  18. If |z-2-3i|+|z+2-6i|=4 where i=sqrt(-1) then find the locus of P(z)

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  19. Let z1 and z2 be two nonreal complex cube roots of unity and (|z-z1|)^...

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