Home
Class 12
MATHS
Find number of values of complex numbers...

Find number of values of complex numbers `omega` satisfying the system of equation `z^(3)=-(bar(omega))^(7)` and `z^(5).omega^(11)=1`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Find the complex number satisfying the system of equations z^3+ omega^7=0a n dz^5omega^(11)=1.

Number of imaginary complex numbers satisfying the equation, z^2=bar(z)2^(1-|z|) is

The number of values of z (real or complex) e simultaneously satisfying the system of equations 1+z+z^2+z^3+...z^17=0 and 1+z+z^2+z^3+..+z^13=0 is

Suppose two complex numbers z=a+ib , w=c+id satisfy the equation (z+w)/(z)=(w)/(z+w) . Then

Let z be a complex number satisfying the equation (z^3+3)^2=-16 , then find the value of |z|

Find the complex number z satisfying the equation |(z-12)/(z-8i)|= (5)/(3), |(z-4)/(z-8)|=1

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

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

Let z be a complex number satisfying the equation (z^3+3)^2=-16 , then find the value of |z|dot

Find the greatest value of the moduli of complex numbers z satisfying the equation |z-(4)/(z)|=2 . What is the minimum value ?

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Statement 1: The range of f(x)=sin^(2)x-sinx+1 is [3/4,oo). Statemen...

    Text Solution

    |

  2. Which of the following are correct? a.(log)3 19.(log)(1//7)3.(log)4 1...

    Text Solution

    |

  3. Find number of values of complex numbers omega satisfying the system o...

    Text Solution

    |

  4. Make the following expressions free from modulus sign: (x in R) |2x-...

    Text Solution

    |

  5. Simplify (sqrt5-sqrt2)(sqrt5+sqrt2)

    Text Solution

    |

  6. If (1+x+x^2)^n=a0+a1x+a2x^2+....+a(2n)x^(2n), then a0+a2+a4+.....+a(2n...

    Text Solution

    |

  7. Make the following expressions free from modulus sign : (x in R) (...

    Text Solution

    |

  8. Simplify the following expressions : (sqrt5-sqrt2)(sqrt5+sqrt2)

    Text Solution

    |

  9. The possible number of ordered triplets (m, n, p) where m,np in N is (...

    Text Solution

    |

  10. Evaluate the following: 4!-3!

    Text Solution

    |

  11. Let O be an interior points of triangleABC such that vec(OA)+vec(OB)+3...

    Text Solution

    |

  12. Make the following expressions free from modulus sign: (x in R) |x^2...

    Text Solution

    |

  13. If (cos^2x+1/(cos^2x)) (1+tan^2 2y)(3+sin3z)=4, then x is an integral ...

    Text Solution

    |

  14. Given abclt0 and a+b+cgt0. If (|a|)/(a)+(|b|)/(b)+(|c|)/(c)=x, then fi...

    Text Solution

    |

  15. Make the following expressions free from modulus sign : (x in R) (...

    Text Solution

    |

  16. Investigate for the maxima and minima of the function f(x)=int1^x[2(t...

    Text Solution

    |

  17. Make the following expressions free from modulus sign : (x in R) (...

    Text Solution

    |

  18. Find the equation of the largest circle with centre (1, 0) that can be...

    Text Solution

    |

  19. One side of square ABCD is on the line y=2x-17 and other two vertices ...

    Text Solution

    |

  20. Make the following expressions free from modulus sign : (i) |x^(2) -...

    Text Solution

    |