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If z=(1)/(1-cos theta- isintheta) then R...

If `z=(1)/(1-cos theta- isintheta)` then Re(z)=....

A

0

B

`(1)/(2)`

C

`"cot" (theta)/(2)`

D

`(1)/(2)"cot"(theta)/(2)`

Text Solution

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The correct Answer is:
B
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KUMAR PRAKASHAN-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-TEXTBOOK BASED MCQS
  1. If z=(1+2i)/(1-(1-i)^(2)) then arg (z).....

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  2. If z=(1)/((2+3i)^(2)) then |z|=...

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  3. If z=(1)/(1-cos theta- isintheta) then Re(z)=....

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  4. (1+i)^(4)+(1-i)^(4) = ........ .

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  5. If one complex number is in third quadrent then its conjugate complex ...

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  6. In Argand figure complex number (1+2i)/(1-i) lies in ......... quadren...

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  7. If |z-1|^(2)=|z|^(2)+1 then in the grand plane, z lines an.....

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  8. If |z+4|le3 then the maximum value fo |z+1| is....

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  9. Inverse of (3+4i)/(4-5i)

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  10. If (sqrt(8)+i)^(50)=3^(49)(a+ib) then a^(2)+b^(2)=....

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  11. If arg (z) lt 0 then arg(-z)-arg(z)=.....

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  12. If |(z-2)/(z-3)|=2 express a circle, then its radius is ......

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  13. If the conjugate complex number of (x+yi)(1-2i) is 1+i then ......

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  14. If z=cos((pi)/(3))-isin((pi)/(3)) then z^(2)-z+1=....

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  15. n is any integer then arg(((sqrt(3)+i)^(4n+1))/((1-sqrt(3)i)^(4n)))=.....

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  16. If (2z(1))/(3z(2)) is pure imaginarny then |(z(1)-z(2))/(z(1)+z(2))|=....

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  17. If z=3+5i and then z^(3)+barz+198=0....

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  18. If |z-(9)/(z)|=6 then maximum value of |z| is ....

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  19. If z=x+iy, where x and y are real numbers and |x|+|y| lt= k|z| then k=...

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  20. arg((1-isqrt(3))/(1+isqrt(3)))=.....

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