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Convert the complex number z=(1-i)/(cos ...

Convert the complex number `z=(1-i)/(cos pi/3 + I sin pi/3)` in the polar form.

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The correct Answer is:
`-sqrt(2)[ "cos"(5pi)/(12)+I"sin"(5pi)/(12)]`
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KUMAR PRAKASHAN-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (LONG ANSWER TYPE QUESTIONS)
  1. Solve the system of equation Re(z^(2))=0,|z|=2.

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  2. Find the complex number satsifying the equation z+sqrt(2)|(z+1)|+i=0

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  3. Convert the complex number z=(1-i)/(cos pi/3 + I sin pi/3) in the pola...

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  4. If z and we are two complex numbers such that |zw|=1 and arg(z)-arg(w)...

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  5. Fill in the blanks of the following For any two complex numbers z(1)...

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  6. Fill in the blanks of the following the value of sqrt(-25)xxsqrt(-9)...

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  7. Fill in the blanks of the following The number ((1-i)^(2))/(1-i^(3))...

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  8. Fill in the blanks of the following The sum of the series i+i^(2)+i^...

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  9. Fill in the blanks of the following Multiplicative inverser of 1+I i...

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  10. Fill in the blanks of the following If z(1) and z(2) are complex num...

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  11. Fill in the blanks of the following arg(z)+ arg(barz) where (barz ne...

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  12. Fill in the blanks of the following If |z+4| le3, then the greatest ...

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  13. Fill in the blanks of the following If |(z-2)/(z+2)|=(pi)/(6) then t...

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  14. Fill in the blanks of the following If |z|=4" and arg"(z)=(5pi)/(6),...

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  15. State true of false for the following: The order relation is defined...

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  16. State true of false for the following: Multiplication of a non-zero ...

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  17. State true of false for the following: For any complex number, z, th...

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  18. State true of false for the following: The locus represented by |z-1...

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  19. State true of false for the following: If z is a complex number such...

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  20. State true of false for the following: the inequality |z-4| lt |z-2|...

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