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The complex numbers z is simultaneously satisfy the equations `abs(z-12)/abs(z-8i)=5/3,abs(z-4)/abs(z-8)=1` then the Re(z) is

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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
  1. Let alpha ne1 be an nth root of unity where n is a prime natural numbe...

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

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

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

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

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

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

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  8. It is given that n is an odd integer greater than 3 but n is not a mul...

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  9. Find the real values of x and y for which the following equation is sa...

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  10. Let the complex numbers z1,z2 and z3 be the vertices of an equilateral...

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  11. If in argand plane the vertices A,B,C of an isoceles triangle are rep...

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  12. let z1=10+6i and z2=4+6i if z is nay complex number such that argument...

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  13. if iz^3+z^2-z+i=0 then show that absz=1

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  14. let z1 and z2 be roots of the equation z^2+pz+q=0 where the coefficien...

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  15. For complex numbers z and w prove that absz^2w-abs(w)^2z=z-w if and on...

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  16. if z1 and z2 are two complex numbers such that absz1lt1ltabsz2 then p...

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  17. find the centre and radius of the circle formed by all the points repr...

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  18. Let omega ne1 be a complex cube root of unity if (3-3omega+2omega^2)^(...

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  19. For any integer k let alphak=cos((kpi)/7)+isin((kpi)/7) where i=sqrt(-...

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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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