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A real value of x satisfies the equation...

A real value of `x` satisfies the equation `(3-4i x)/(3+4i x)=a-i b(a ,\ b in RR),\ if\ a^2+b^2=` a. `1` b. `-1` c. `2` d. `-2`

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RD SHARMA ENGLISH-COMPLEX NUMBERS-All Questions
  1. If a=1+i , then a^2 equals A. 1-i B. 2i C. (1+i)(1-i) D. (i-1)

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  2. If (x+i y)^(1//3)=a+i b ,\ then\ x/a+y/b is a. 0 b. 1 c. -1 d. none o...

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  3. (sqrt(-2))(sqrt(-3)) is equal to A. sqrt(6) B. -sqrt(6) C. isqrt(6)...

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  4. The argument of (1-isqrt(3))/(1+isqrt(3)) is a. 60^@ b. 120^@ c. 210^@...

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  5. If z=((1+i)/(1-i)), then z^4 equals to

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  6. If z=(1+2i)/(1-(1-i)^2), then arg(z) equals a. 0 b. pi/2 c. pi ...

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  7. If z=1/((2+3i)^2), then |z| is (a). 1/13 (b) . 1/5 (c) . 1...

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  8. If z=1/((1-i)(2+3i)), then |z| is (a). 1 (b). 1/sqrt(26) (c). 5...

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  9. If z=1-costheta+isintheta,\ t h e n\ |z| is equal to a. 2sin(theta/2)...

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  10. If x+i y=(1+i)(1+2i)(1+3i),\ t h e n\ x^2+y^2 is: (a). 0 (b). 1 (c). 1...

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  11. If z=1/(1-cos theta-i sin theta), then Re(z) is a. 0 b. 1/2 c. c...

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  12. If x+i y=(3+5i)/(7-6i), then y is A. 9/85 B. -9/(85) C. (53)/(85) ...

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  13. The amplitude of 1/i is equal to a. 0 b. pi/2 c. -pi/2 d. pi

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  14. The argument of (1-i)/(1+i) is a. -pi/2 b. pi/2 c. (3pi)/2 d....

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  15. The amplitude of (1+isqrt(3))/(sqrt(3)+i) is a. pi/3 b. -pi/3 c. pi/6 ...

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  16. (1+2i+3i^2)/(1-2i+3i^2) equals a. i b. -1 c. -i d. 4

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  17. The value of (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+i^(580...

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  18. A real value of x satisfies the equation (3-4i x)/(3+4i x)=a-i b(a ,\ ...

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  19. The complex number which satisfies the condition |(i+z)/(i-z)|=1\ li...

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  20. If z is a complex number, then a. |z|^2>|z^2| b. |z|^2=|z^2| c. |z|^2<...

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