Home
Class 11
MATHS
Find the complex number omega satisfyin...

Find the complex number `omega` satisfying the equation `z^3=8i` and lying in the second quadrant on the complex plane.

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

Find a complex number z satisfying the equation z+sqrt(2)|z+1|+i=0.

Find a complex number z satisfying the equation z+sqrt(2)|z+1|+i=0.

Find a complex number z satisfying the equation z+sqrt(2)|z+1|+i=0.

Find the non-zero complex number z satisfying z =i z^2dot

Find the non-zero complex numbers z satisfying barz =i z^2dot

Find the complex number z satisfying R e(z^2 =0),|z|=sqrt(3.)

Find the complex number z satisfying R e(z^2) =0,|z|=sqrt(3.)

IF agt=1 , find all complex numbers z satisfying the equation z+a|z+1|+i=0

If z is a complex number satisfying the equation |z-(1+i)|^2=2 and omega=2/z , then the locus traced by 'omega' in the complex plane is

If z is a complex number satisfying the equation |z-(1+i)|^2=2 and omega=2/z , then the locus traced by 'omega' in the complex plane is

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If n is n odd integer that is greater than or equal to 3 but not a mul...

    Text Solution

    |

  2. If a ,b in R ,a!=0 and the quadratic equation a x^2-b x+1=0 has imagi...

    Text Solution

    |

  3. Find the complex number omega satisfying the equation z^3=8i and lyi...

    Text Solution

    |

  4. If the expression [m x-1+(1//x)] is non-negative for all positive real...

    Text Solution

    |

  5. When the polynomial 5x^3+M x+N is divided by x^2+x+1, the remainder is...

    Text Solution

    |

  6. x1 and x2 are the roots of a x^2+b x+c=0 and x1x2<0. Roots of x1(x-x2)...

    Text Solution

    |

  7. ifomegaa n domega^2 are the nonreal cube roots of unity and [1//(a+ome...

    Text Solution

    |

  8. If a ,b ,c ,d are four consecutive terms of an increasing A.P., then t...

    Text Solution

    |

  9. Find the relation if z1, z2, z3, z4 are the affixes of the vertices of...

    Text Solution

    |

  10. Let a and b are the roots of the equation x^2-10 xc -11d =0 and those...

    Text Solution

    |

  11. If z1, z2, z3 are three nonzero complex numbers such that z3=(1-lambda...

    Text Solution

    |

  12. Fill in the blanks The coefficient of x^(99) in the polynomial (x-1)...

    Text Solution

    |

  13. Let z1, z2, z3 be three complex numbers and a ,b ,c be real numbers no...

    Text Solution

    |

  14. Fill in the blanks If 2+isqrt(3) is a root of the equation x^2+p x+q=0...

    Text Solution

    |

  15. Prove that the triangle formed by the points 1,(1+i)/(sqrt(2)),a n di ...

    Text Solution

    |

  16. Fill in the blanks. If the product of the roots of the equation x^2-3k...

    Text Solution

    |

  17. Solve for z : z^2-(3-2i)z=(5i-5)dot

    Text Solution

    |

  18. If the equations x^2+ax+b=0 and x^2+bx+a=0 have one common root. Then ...

    Text Solution

    |

  19. Find all possible values of sqrt(i)+sqrt(-i)dot.

    Text Solution

    |

  20. Fill in the blanksIfx<0,y<0,x+y+(x//y)=(1//2)a n d (x+y)(x//y)=-(1//2...

    Text Solution

    |