Home
Class 12
MATHS
If z is a complex number satisfying the ...

If z is a complex number satisfying the equation `z^6 +z^3 + 1 = 0`. If this equation has a root `re^(itheta)` with `90^@<0<180^@` then the value of `theta` is

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If z is a complex number satisfying the equation z^(6)+z^(3)+1=0. If this equation has a root re^(i theta) with 90^(@)<0<180^(@) then the value of theta is

The complex number z satisfying the equation |z-i|=|z+1|=1

If z is a complex number satisfying the equaiton z^(6) - 6z^(3) + 25 = 0 , then the value of |z| is

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

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

Non-real complex number z satisfying the equation z^(3)+2z^(2)+3z+2=0 are

z is a complex number satisfying z^(4)+z^(3)+2z^(2)+z+1=0 , then |z| is equal to

Let z be a complex number satisfying the equation z^(2)-(3+i)z+m+2i=0, wherem in R Suppose the equation has a real root.Then root non-real root.

RESONANCE DPP-JEE MAINS-All Questions
  1. (lim)(x->oo)(sinx)/x equals a. 1 b . 0 c. oo d. does not exist

    Text Solution

    |

  2. Is 184 a term of the sequence 3,7,11, ... ?

    Text Solution

    |

  3. If z is a complex number satisfying the equation z^6 +z^3 + 1 = 0. If ...

    Text Solution

    |

  4. Consider the equation sin^(-1)(x^(2)-6x+(17)/(2))+cos^(-1)k=(pi)/(2),...

    Text Solution

    |

  5. Let I=int0^(10pi) (cos6xcos7xcos8xcos9x)/(1+e^(2sin^3 4x))dx Now answ...

    Text Solution

    |

  6. The values of parameter a for which the point of minimum of the functi...

    Text Solution

    |

  7. If the value of the definite integral int0^1(sin^(-1)sqrt(x))/(x^2-x+1...

    Text Solution

    |

  8. The value of sum(r=1)^oocot^(- 1)((r^2)/2+15/8) is equal to

    Text Solution

    |

  9. cos^2 73+cos^2 47-sin^2 43+sin^2107

    Text Solution

    |

  10. Ifthe area bounded by the curve y=|cos^-1(sinx)|-|sin^-1(cos x)| and ...

    Text Solution

    |

  11. If the value of definite integral int1^a x*a^-[log a x]dx, where a ...

    Text Solution

    |

  12. L e tJ=int(-5)^(-4)(3-x^2)tan(3-x^2)dxa n dK=int(-2)^(-1)(6-6x+x^2) t...

    Text Solution

    |

  13. (1^4)/1.3+(2^4)/3.5+(3^4)/5.7+......+n^4/((2n-1)(2n+1))=(n(4n^2+6n+5))...

    Text Solution

    |

  14. Let C be a curve passing through M(2,2) such that the slope of the tan...

    Text Solution

    |

  15. The equation of the curve is y=f(x)dot The tangents at [1,f(1),[2,f(2)...

    Text Solution

    |

  16. if sin x +sin^2 x = 1 then cos^12 x+ 3 cos^10 x + 3 cos^8 x + cos ^6 ...

    Text Solution

    |

  17. The value of 2^(2010)(int0 1x^(1004)(1-x)^(1004)dx)/(int0 1x^(1004)(1...

    Text Solution

    |

  18. if (x-a)(x-5)+2=0 has only integral roots where a in I , when value o...

    Text Solution

    |

  19. Let f be a differentiable function satisfying the condition f ((x)/(y)...

    Text Solution

    |

  20. A point z moves on the curve |z-4-3i| =2 in an argand plane. The maxim...

    Text Solution

    |