Home
Class 12
MATHS
The value of (a+bomega+comega^2)/(b+come...

The value of `(a+bomega+comega^2)/(b+comega+aomega^2)+(a+bomega+comega^2)/(c+aomega+bomega^2)` (where `'omega'` is the imaginary cube root of unity), is (a) `-omega` (b). `omega^2` (c). `1` (d). `-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

The value of the expression 1.(2-omega).(2-omega^2)+2.(3-omega)(3-omega^2)+.+(n-1)(n-omega)(n-omega^2), where omega is an imaginary cube root of unity, is………

The value of the determinant |(1,omega^(3),omega^(5)),(omega^(3),1,omega^(4)),(omega^(5),omega^(4),1)| , where omega is an imaginary cube root of unity, is

Evaluate |(1,omega,omega^2),(omega,omega^2,1),(omega^2,omega, omega)| where omega is cube root of unity.

If omega is a cube root of unity, then 1+ omega^(2)= …..

If omega is a cube root of unity, then omega + omega^(2)= …..

If x=a+b, y=aomega+bomega^2 and z=aomega^2+bomega where omega is an imaginary cube root of unity, prove that x^2+y^2+z^2=6ab .

If omega be an imaginary cube root of unity, show that (1+omega-omega^2)(1-omega+omega^2)=4

If omega be an imaginary cube root of unity, show that (1+omega-omega^2)(1-omega+omega^2)=4

If omega be an imaginary cube root of unity, show that 1+omega^n+omega^(2n)=0 , for n=2,4

If omega be an imaginary cube root of unity, show that: 1/(1+2omega)+ 1/(2+omega) - 1/(1+omega)=0 .

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Find two number whose sum is 100 and the sum of twice of first part an...

    Text Solution

    |

  2. If f(x)=x^αlogx and f(0)=0, then the value of ′α′ for which Rolle's th...

    Text Solution

    |

  3. The value of (a+bomega+comega^2)/(b+comega+aomega^2)+(a+bomega+comega^...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |