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if |(1-iz)/(z-i)|=1 prove that the locus...

if `|(1-iz)/(z-i)|=1` prove that the locus of the variable point `z` in the Argand plane is the real axis.

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If |(1-iz)/(z-i)|=1 find the locus of z

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A DAS GUPTA-COMPLEX NUMBERS-EXERCISE
  1. Find the complex number Z, the greatest in absolute value which satisf...

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  2. Complex number z1, z2 and z3 in AP

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  3. if |(1-iz)/(z-i)|=1 prove that the locus of the variable point z in th...

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  4. The equation barbz+bbarz=c, where b is a non-zero complex constant and...

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  5. Let A(z1) and (z2) represent two complex numbers on the complex plan...

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  6. Find the area of the triangle whose vertices in the Argand plane are i...

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  7. Show that the area of the triangle on the Argand diagram formed by the...

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  8. Find the area of the triangle whose vertices represent the three roots...

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  9. The complex numbers z1, z2 and the origin form an equilateral triangle...

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  10. Complex numbers z1 , z2, z3 are the vertices A, B, C respectively of ...

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  11. If z1,z2,z3 be the vertices of an equilateral triangle, show that 1/(z...

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  12. If z1,z2,z3 be the vertices of an equilateral triangle, show that 1/(z...

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  13. Complex numbers z1 , z2, z3 are the vertices A, B, C respectively of ...

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  14. The points representing cube roots of unity

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  15. z, w, w^2 are the vertices of an equilateral triangle in the Argand pl...

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  16. If a ,b ,c and u ,v ,w are the complex numbers representing the vertic...

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  17. If two consecutive vertices of a regular hexagon be z and barz , find ...

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  18. If z1,z2 are two complex numbers representing two consecutive vertices...

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  19. If two vertices of an equilateral triangle are z1,z2 then find the com...

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  20. The equation zbarz+abarz+baraz+b=0, b in R represents circle, if

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