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If absomega=1 then the set of points z=o...

If `absomega=1` then the set of points `z=omega+1/omega` is contained in or equal to

A

an ellipse with eccentrity4/5

B

the set of points z satisfying Imz=0

C

the set of points z satisfying `absRezle2`

D

none of these

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The correct Answer is:
A, C
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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
  1. Let z1 and z2 be complex numbers such that z1 nez2 and absz1=absz2 if ...

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  2. If (x+2)^3-27=0 then a value of x is

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  3. If absomega=1 then the set of points z=omega+1/omega is contained in o...

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  4. If z1 lies on absz=1 and z2 lies on absz=2 then

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  5. IfA(z1),B(z2),C(z3) and D(z4) be the vertices of the square ABCD then

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  6. If z1 and z2 are non zero complex numbers such that abs(z1-z2)=absz1+a...

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  7. The reflection of the complex number (2-i)/(3+i) where (i=sqrt(-1)in t...

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  8. If alpha is a complex constant such that alphaz^2+z+baralpha=0 has are...

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  9. Let A,B,C b ethree sets of complex numbers as defined A={z:Im zge 1} ...

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  10. Let A,B,C b ethree sets of complex numbers as defined A={z:Im zge 1} ...

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  11. Let alpha+ibeta be a complex number and let x+iy=e^(alpha+ibeta) where...

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  12. Let alpha+ibeta be a complex number and let x+iy=e^(alpha+ibeta) where...

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  13. If alpha is non real fourth root of unity , then value of,alpha^(4n-1)...

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  14. Let alpha ne1 be an nth root of unity where n is a prime natural numbe...

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  15. If cos(pi/7), cos((3pi)/7), cos((5pi)/7) are the roots of the equation...

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  16. The complex numbers z is simultaneously satisfy the equations abs(z-12...

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  17. The smallest positiv einteger n for which ((1+i)/(1-i))^n=1 where i=sq...

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  18. If abszge3 then the least value of abs(z+i/z) is lambda/3 then the val...

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  19. If abs(z-1)+abs(z+3)le8 then possible value of abs(z-4) is

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  20. A complex number z is said to be unimodular if absz=1 suppose z1 and z...

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