Home
Class 11
MATHS
If z=((sqrt(3)+i)^(17))/((1-i)^(50)) , t...

If `z=((sqrt(3)+i)^(17))/((1-i)^(50))` , then find `a m p(z)dot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise All Questions|365 Videos

  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|1344 Videos

Similar Questions

Explore conceptually related problems

If z=((sqrt(3))/2+i/2)^5+((sqrt(3))/2-i/2)^5 , then prove that I m(z)=0.

If z=[(sqrt(3)/2)+i/2]^5+[((sqrt(3))/2)-i/2]^5 , then a. R e(z)=0 b. I m(z)=0 c. R e(z)>0 d. R e(z)>0,I m(z)<0

If (sqrt(8)+i)^(50)=3^(49)(a+i b) , then find the value of a^2+b^2dot

If Z=(7+i)/(3+4i) , then find Z^14 .

If z(2-2sqrt(3i))^2=i(sqrt(3)+i)^4, then a r g(z)=

If z=pi/4(1+i)^4((1-sqrt(pi)i)/(sqrt(pi)+i)+(sqrt(pi)-i)/(1+sqrt(pi)i)),then"((|z|)/(a m p(z))) equal

If z=(3+4i)^(6)+(3-4i)^(6),"where" i=sqrt(-1), then Find the value of Im(z) .

If z=(1+i tan alpha)^(1+i) , then find the magnitude of Z.

If z = (-4 +2 sqrt3i)/(5 +sqrt3i) , then the value of arg(z) is

If z=(3-sqrt(7)i) , then find |z^(-1)| .

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If |z1|=15 and |z2-3-4i|=5,t h e n

    Text Solution

    |

  2. Determine the values o m for which equations 3x^2+4m x+2=0a n d2x^2+3x...

    Text Solution

    |

  3. If z=((sqrt(3)+i)^(17))/((1-i)^(50)) , then find a m p(z)dot

    Text Solution

    |

  4. A rectangle of maximum area is inscribed in the circle |z-3-4i|=1. If ...

    Text Solution

    |

  5. If alpha,beta are the roots of the equation a x^2+b x+c=0, then find t...

    Text Solution

    |

  6. If (3pi)/2 < alpha < 2pi then the modulus argument of (1+cos 2alpha)+i...

    Text Solution

    |

  7. The value of z satisfying the equation logz+logz^2+dot+logz^n=0 i s ...

    Text Solution

    |

  8. If the difference between the roots of the equation x^2+a x+1=0 is les...

    Text Solution

    |

  9. find the differtiation of (i) tan(secx) (ii) sin(tanx)

    Text Solution

    |

  10. Roots of the equation are (z+1)^5=(z-1)^5 are (a) +-itan(pi/5),+-ita...

    Text Solution

    |

  11. Find the value of a for which one root of the quadratic equation (a^2-...

    Text Solution

    |

  12. If |z1-z0|=|z2-z0|=a and amp((z2-z0)/(z0-z1))=pi/2 , then find z0

    Text Solution

    |

  13. Which of the following represents a points in an Argand pane, equidi...

    Text Solution

    |

  14. If the harmonic mean between roots of (5+sqrt(2))x^2-b x+8+2sqrt(5)=0i...

    Text Solution

    |

  15. If n in N >1 , then the sum of real part of roots of z^n=(z+1)^n is...

    Text Solution

    |

  16. If z1, z2, z3, z4 are the affixes of four point in the Argand plane, z...

    Text Solution

    |

  17. Find the values of the parameter a such that the rots alpha,beta of ...

    Text Solution

    |

  18. Solve the equation z^3= z (z!=0)dot

    Text Solution

    |

  19. If z=omega,omega^2 where omega is a non-real complex cube root of unit...

    Text Solution

    |

  20. Let alphaa n dbeta be the solutions of the quadratic equation x ^2-11...

    Text Solution

    |