Home
Class 12
MATHS
If z1,z2,z3,z4 are imaginary 5th roots o...

If `z_1,z_2,z_3,z_4` are imaginary 5th roots of unity, then the value of `sum_(r=1)^(16)(z1r+z2r+z3r+z4r),i s` 0 (b) `-1` (c) 20 (d) 19

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

If z_(1),z_(2),z_(3) andz_(4) are the roots of the equation z^(4)=1, the value of sum_(i=1)^(4)z_i^(3) is

let z_1,z_2,z_3 and z_4 be the roots of the equation z^4 + z^3 +2=0 , then the value of prod_(r=1)^(4) (2z_r+1) is equal to :

If 1 , z_1 , z_2 ,......., z_6 are the 7th roots of unity then the value of (2-z_1)(2-z_2)(2-z_3)(2-z_4)(2-z_5)(2-z_6)= (a) 63 b. 127 c. 32 d. 31

If 2z_1//3z_2 is a purely imaginary number, then find the value of "|"(z_1-z_2")"//(z_1+z_2)|dot

If 2z_1//3z_2 is a purely imaginary number, then find the value of "|"(z_1-z_2")"//(z_1+z_2)|dot

If T_(r)=(1)/(log_(z)4) (where r in N ), then the value of sum_(r=1)^(4) T_(r) is :

If z_r : r=1,2,3, ,50 are the roots of the equation sum_(r=0)^(50)z^r=0 , then find the value of sum_(r=0)^(50)1/(z_r-1)

If z_(1) and z_(2) are two n^(th) roots of unity, then arg (z_(1)/z_(2)) is a multiple of

If ,Z_1,Z_2,Z_3,........Z_(n-1) are n^(th) roots of unity then the value of 1/(3-Z_1)+1/(3-Z_2)+..........+1/(3-Z_(n-1)) is equal to

If 1,z_1, z_2,ddotz_(19) are the 20th roots of unity then (1-z_1)(1-z_2)(1-z_3)...(1-z_(19))= 0 2. 19 3. 20 4. 1 5. 10

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The value of (a+bomega+comega^2)/(b+comega+aomega^2)+(a+bomega+comega^...

    Text Solution

    |

  2. If tangent at point (1, 2) on curve y = ax^(2) + bx + (7)/(2) be paral...

    Text Solution

    |

  3. If z1,z2,z3,z4 are imaginary 5th roots of unity, then the value of su...

    Text Solution

    |

  4. The domain of the derivative of the function f(x)={{:(tan^(-1)x ,if|x|...

    Text Solution

    |

  5. Find the coefficients of x^(50) in the expression (1+x)^(1000)+2x(1+x)...

    Text Solution

    |

  6. The sum of first p -terms of a sequence is p(p+1)(p+2)dot the 10th ter...

    Text Solution

    |

  7. If int(-1)^(4)f(x)dx=4 and int(2)^(4)(3-f(x))dx=7, then find the value...

    Text Solution

    |

  8. If hat a , hat b ,a n d hat c are three unit vectors, such that h...

    Text Solution

    |

  9. In a Delta ABC, show that (a cos A+b cos B+ c cos C)/(a+b+c)= (r )/(R...

    Text Solution

    |

  10. about to only mathematics

    Text Solution

    |

  11. If a+b+3c=1 and a gt 0, b gt 0, c gt 0, then the greratest value of a^...

    Text Solution

    |

  12. A tower stands at the centre of a circular park. A and B are two po...

    Text Solution

    |

  13. The value of sin^(-1)(3/(sqrt(73)))+cos^(-1)((11)/(sqrt(73)))+cos^(-1)...

    Text Solution

    |

  14. AB is a vertical pole with B at the ground level and A at the top. A...

    Text Solution

    |

  15. Set of all values of x satisfying in inequation cos^(-1)sqrt(x)>sin^(-...

    Text Solution

    |

  16. Consider the conic ex^(2)+piy^(2)-2e^(2)x-2pi^(2)y+e^(3)+pi^(3)= pie. ...

    Text Solution

    |

  17. If the equation sin(cot^(-1)(cot^(-1)(tan^(-1))))=lambda has a soluti...

    Text Solution

    |

  18. Let f be an injective map. with domain (x, y, z and range (1, 2, 3), s...

    Text Solution

    |

  19. The solution of the differential equation (x^2dy)/(dx)dotcos(1/x)-ysin...

    Text Solution

    |

  20. If 1 tan^(-1) x + sin^(-1).(2x)/(1 + x^(2)) is independent of x, then

    Text Solution

    |