Home
Class 12
MATHS
If x,y are real and (-2-i/3)^3=(x+iy)/27...

If `x,y` are real and `(-2-i/3)^3=(x+iy)/27` then value of `y-x` is equal to (A) `91` (B) `-91` (C) `85` (D) `-85`

A

-85

B

85

C

-91

D

91

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise EXERCISE NUMERICAL ANSWER TYPE QUESTIONS|20 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|18 Videos

Similar Questions

Explore conceptually related problems

if (a+ib^((1)/(3))=x+iy then (a)/(x)+(b)/(y) is equal to

If 3^(x-y)=27, and 3^(x+y)=243, then x is equal to a.0 b.2 c.4 d.6

If |[2x-3,2],[9,1]|=0 then the value of x is

MCGROW HILL PUBLICATION-COMPLEX NUMBERS -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. The equation I m((i z-2)/(z-i))+1=0, z & epsi; C , z!=i represents a ...

    Text Solution

    |

  2. If alpha, beta in C are the distinct roots of the equation x^(2)-x+1=0...

    Text Solution

    |

  3. The set of all alpha in R for which w = (1+(1-8 alpha)z)/(1-z)is a pur...

    Text Solution

    |

  4. If |z - 3+ 2i| leq 4, (where i = sqrt-1) then the difference of grea...

    Text Solution

    |

  5. The least positive integer n for which ((1+sqrt(3)i)/(1-sqrt(3)i))^(n)...

    Text Solution

    |

  6. Let A={theta in (-pi /2,pi):(3+2i sin theta )/(1-2 sin theta ) is pure...

    Text Solution

    |

  7. Let Z0 is the root of equation x^2+x+1=0 and Z=3+6i(Z0)^(81)-3i(Z0)^(9...

    Text Solution

    |

  8. Let z(1) and z(2) be any two non-zero complex numbers such that 3|z(1)...

    Text Solution

    |

  9. If z=(sqrt3/2+i/2)^5+(sqrt3/2-i/2)^5, then

    Text Solution

    |

  10. If x,y are real and (-2-i/3)^3=(x+iy)/27 then value of y-x is equal to...

    Text Solution

    |

  11. Let (z-alpha)/(z+alpha) is purely imaginary and |z|=2, alphaepsilonR t...

    Text Solution

    |

  12. Let Z(1) and Z(2) be two complex numbers satisfying |Z(1)|=9 and |Z(2)...

    Text Solution

    |

  13. If alpha and beta be the roots of the equation x^(2)-2x+2=0, then the ...

    Text Solution

    |

  14. if z = (sqrt 3 ) /(2) + (i)/(2) ( i=sqrt ( -1) ), then ( 1 + ...

    Text Solution

    |

  15. All the points in the set S={(alpha+i)/(alpha-i):alpha in R } (i= sqrt...

    Text Solution

    |

  16. Let z in C be such that |z| lt 1 .If omega =(5+3z)/(5(1-z) then

    Text Solution

    |

  17. If a gt 0 and z=(1+i)^2/(a-1) has magnitude sqrt(2/5) "the" bar z is ...

    Text Solution

    |

  18. If za n dw are two complex number such that |z w|=1a n da rg(z)-a rg(w...

    Text Solution

    |

  19. The equation |z - i| = |z - 1| represents :

    Text Solution

    |

  20. if (2z-n)/(2z+n)=2i-1,n in N in N and IM(z)=10, then

    Text Solution

    |