Home
Class 12
MATHS
Solve the equationz^3=1+i...

Solve the equation`z^3=1+i`

Promotional Banner

Topper's Solved these Questions

  • AREA UNDER PLANE CURVES (APPLICATION OF DEFINITE INTEGRALS)

    MBD PUBLICATION|Exercise QUESTION BANK|16 Videos

  • CONIC SECTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|179 Videos

Similar Questions

Explore conceptually related problems

Solve the equation z^3=i

Solve the equation z^7=1

Solve the equation z^6=-i

Solve the following equation: "cos"("tan"^(-1)x)="sin"("cot"^(-1)3/(4)) .

Solve equation "tan"^(-1) 1/3 +"tan"^(-1) 1/5 +"tan"^(-1) 1/7 +"tan"^(-1)x=pi/4

Solve the following equations "tan"^(-1)1/(3)+"tan"^(-1)1/(5)+"tan"^(-1)1/(7)+"tan"^(-1)x=pi/(4)

If A=[[1,-2,1],[0,-1,1],[2,0,-3]] then find A^(-1) and hence solve the system of equations x-2y + z = 0 , -y + z = -2 and 2x-3z= 10.

MBD PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
  1. Solve the equation z^3=i

    Text Solution

    |

  2. Solve the equation z^6=-i

    Text Solution

    |

  3. Solve the equationz^3=1+i

    Text Solution

    |

  4. Given cos alpha+cos beta +cos gamma=sin alpha+sin beta +sin gamma=0 S...

    Text Solution

    |

  5. If sin alpha + sin beta +sin gamma=0 =cos alpha+cos beta+cos gamma=0 "...

    Text Solution

    |

  6. If x+1/x=2cos theta,"Show that"x^n+1/x^n=2cos n theta

    Text Solution

    |

  7. xr=cos alphar+isinalphar. r=1,2,3 "and" x1+x2+x3=0 "Show that" 1/x1+1...

    Text Solution

    |

  8. Show that ((1+sintheta+icostheta)/(1+sintheta-icostheta))^n =cos((npi)...

    Text Solution

    |

  9. If alpha "and" beta "are roots "x^2-2x+4=0 "then show that"alpha^n+bet...

    Text Solution

    |

  10. For a positive integer n show that (1+i)^n+(1-i)^n=2^((n+2)/2) "cos((n...

    Text Solution

    |

  11. For a positive integer n show that (1+isqrt3)^n+(1-isqrt3)^n=2^(n+1) "...

    Text Solution

    |

  12. Letx+1/x=2cos alpha, y+1/y=2cos beta z+1/z=2cosgamma."Show that"2 "co...

    Text Solution

    |

  13. Letx+1/x=2cos alpha, y+1/y=2cos beta z+1/z=2cosgamma."Show that"2 "co...

    Text Solution

    |

  14. Solve x^9+x^5-x^4=1

    Text Solution

    |

  15. Find the general value of theta" if"(cos theta+isintheta)("cos"2theta+...

    Text Solution

    |

  16. If z=x+iy"show that" |x|+|y|lesqrt2|z|

    Text Solution

    |

  17. Show thatRe(z1z2)=Rez1Rez2-Im z1Imz2 Im(z1z2)=Re z1 Im z2+Re z2 Im z1

    Text Solution

    |

  18. What is the value of arg omega+ arg omega^2?

    Text Solution

    |

  19. If |z1|le1,|z2|le1"show that" |1-z1z2|^2-|z1-z2|^2=(1-|z1|^2)(1-|z2|^2...

    Text Solution

    |

  20. If z1^2+z2^2+z3^2-z2z3-z3z4=0 Show that |z1-z2|=|z2-z3|=|z3-z1|

    Text Solution

    |