Home
Class 12
MATHS
if (x+i y)^(1/3) = a+ib then (x/a) + ...

if `(x+i y)^(1/3) = a+ib ` then `(x/a) + (y/b)` equals to

A

`4(a^(2)-b^(2))`

B

`2(a^(2)-b^(2))`

C

`2(a^(2)+b^(2))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL 2|1 Videos
  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL 3|1 Videos
  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 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 (x+iy)^((1)/(3))=a+ib then ((x)/(a))+((y)/(b)) equals to

If z = x + iy, z^(1//3) = a - ib , then x/a - y/b = ka^2 - b^2 , where k is equal to :

If (x+iy)^(1/3)=a+ib, then (x)/(a)=(y)/(b)=0b1c.-1d .none of these

If multiplicative inverse of (1 + i) is a + ib then (a + b) equals to

If x, y, a, b are real numbers such that (x+iy)^(1//5)=a + ib and p = (x)/(a) - (y)/(b) , then

If (x+iy)=a+ib then (x)/(a)+(y)/(b)=

MCGROW HILL PUBLICATION-COMPLEX NUMBERS -SOLVED EXAMPLES LEVEL 1
  1. If (1+x+x^2)^n=a0+a1x+a2x^2++a(2n)x(2n), find the value of a0+a6++ ,n ...

    Text Solution

    |

  2. Let z = |(1,1-2i,3+5i),(1+2i,-5,10i),(3-5i,-10i,11)|, then

    Text Solution

    |

  3. if (x+i y)^(1/3) = a+ib then (x/a) + (y/b) equals to

    Text Solution

    |

  4. If z epsilon C, the minimum value of |z| + |z-i| is attained at

    Text Solution

    |

  5. For all complex numbers z1, z2 satisfying |z1| =12 and |z2-3-4i|=5, ...

    Text Solution

    |

  6. If z lies on the circle |z-1|=1, then (z-2)/z is

    Text Solution

    |

  7. If 1, omega, ......,omega^(n-1) are the n^(th) roots of unity,then va...

    Text Solution

    |

  8. If omega = "cos"(pi)/(n) + "i sin" (pi)/(n), then value of 1 + omega +...

    Text Solution

    |

  9. If |z|=1a n dz!=+-1, then all the values of z/(1-z^2) lie on a line no...

    Text Solution

    |

  10. The locus of the center of a circle which touches the circles |z-z1|=a...

    Text Solution

    |

  11. If |z^2-1|=|z|^2+1, then z lies on (a) a circle (b) the imaginar...

    Text Solution

    |

  12. If z^2+z+1=0 where z is a complex number, then the value of (z+1/z)^2+...

    Text Solution

    |

  13. If |z""+""4|lt=3 , then the maximum value of |z""+""1| is (1) 4...

    Text Solution

    |

  14. Let z,w be complex numbers such that barz+ibarw=0 and arg zw=pi Then a...

    Text Solution

    |

  15. If z(1) + z(2) + z(3) = 0 and |z(1)| = |z(2)| = |z(3)| = 1, then value...

    Text Solution

    |

  16. If z satisfies the relation |z-i|z||=|z+i|z|| then

    Text Solution

    |

  17. If alphaand betaare different complex numbers with |beta|=1,then fin...

    Text Solution

    |

  18. Let z be not a real number such that (1+z+z^2)//(1-z+z^2) in R , then...

    Text Solution

    |

  19. If |z-4/z| = 2 , then the maximum value of |z|

    Text Solution

    |

  20. If |omega|=2, then the set of points z=omega-1/omega is contained in o...

    Text Solution

    |