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match List I which List II ans select th...

match List I which List II ans select the correct answer using to code given below the lists
`{:("List I",,,"List II"),(A.,"A cube root of unity",1.,-2(1+i)),(B., "A square root of -1",2.,2i),(C., "Cube of 1-i",3., 2i),(D.,"Square of 1+i",4., -1/2(1+isqrt3)):}`

A

`{:(A,B,C,D),(4,1,3,2):}`

B

`{:(A,B,C,D),(2,1,3,4):}`

C

`{:(A,B,C,D),(4,3,1,2):}`

D

`{:(A,B,C,D),(2,3,1,4):}`

Text Solution

Verified by Experts

The correct Answer is:
C

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NDA PREVIOUS YEARS-COMPLEX NUMBERS-Multiple choice question
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  2. If omega is a complex cube root of unity, then what is the value of ...

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  3. match List I which List II ans select the correct answer using to code...

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  4. What is (sqrt3+i)//(1+sqrt3i) equal to ?

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  5. If 2x=3+5i, then what is the value of 2x^(3)+2x^(2)-7x+72?

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  6. Assertion (A): ((-1+sqrt(-3))/(2))^(29)+((-1-sqrt(-3))/(2))^(29)=-1 ...

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  7. If alpha is a complex number such that alpha^(2)+alpha+1=0, then wha...

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  8. What is the modulus of |(1+2i)/(1-(1-i)^(2))|?

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  9. What is the value of (-sqrt(-1))^(4n+3)+(i^(41)+1^(-257))^(9), when n...

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  10. If omega is the cube root of unity, then what is the con jugate of 2om...

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  11. If z is a complex number such that z+z^(-1)=1, then what is the value ...

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  12. What is the value of ((i+sqrt3)/(-i+sqrt3))^(200)+((i-sqrt3)/(i+sqrt3)...

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  13. If omega is complex cube root of unity ans x=omega^(2)-omega-2, then w...

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  14. If x^(2)+y^(2)=1, then what is (1+x+iy)/(1+x-iy) equal to ?

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  15. What is the modulus of |(1+2i)/(1-(1-i)^(2))|?

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  16. What is the least positive integer n for which ((1+i)/(1-i))^(n)=1 ?

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  17. What is the conjugate of ((1+2i)/(2+i))^(2)?

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  18. What is ((sqrt3+i)/(sqrt3-i))^(6) equal to ?

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  19. If omega is a complex cube root of unity, then what is omega^(10)+om...

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  20. What is the value of (-1+isqrt3)^(48)?

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