Home
Class 12
MATHS
If a+b+c=0 and omega,omega^2 are imagina...

If `a+b+c=0` and `omega,omega^2` are imaginary cube roots of unity, then `(a+bomega+comega^2)^2+(a+bomega^2+comega)^3=` 3abc (b) 6abc (c) 9 abc (d) 27 abc

Text Solution

AI Generated Solution

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 a+b+c=0 and omega,omega^2 are imaginary cube roots of unity, then (a+bomega+comega^2)^3+(a+bomega^2+comega)^3= 3abc (b) 6abc (c) 9 abc (d) 27 abc

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

If omega be an imaginary cube root of unity, show that (a+bomega+comega^2)/(aomega+bomega^2+c) = omega^2

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, omega^2 be imaginary cube root of unity then (3 +3 omega + 5 omega^2) ^6 - (2 + 6omega + 2 omega^2)^3 is equal to

If omega is an imaginary cube root of unity, then show that (1-omega)(1-omega^2)(1-omega^4) (1-omega^5)=9

omega is an imaginary root of unity. Prove that (a+bomega+comega^2)^3+(a+bomega^2+comega^)^3 =(2a-b-c)(2b-a-c)(2c-a-b)dot

If 1 , omega, omega^(2) are cube roots of unity then the value of (3 + 5omega+3omega^(2))^(3) is

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

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If all the letters of the word IIT-JEE are written at random in a row,...

    Text Solution

    |

  2. The mean deviation about median of variates 13, 14, 15,...., 99, 100 i...

    Text Solution

    |

  3. If a+b+c=0 and omega,omega^2 are imaginary cube roots of unity, then (...

    Text Solution

    |

  4. Comprehension (Q.6 to 8) A line is drawn through the point P(-1,2) mee...

    Text Solution

    |

  5. If a conic passing through origin has (3,3),(-4,4) as its foci, then a...

    Text Solution

    |

  6. If [.] is the greatest integer function and f(x)=[tan^2x], then (a) ("...

    Text Solution

    |

  7. If (1+x+x^2++x^p)^n=a0+a1x+a2x^2++a(n p)x^(n p), then find the value o...

    Text Solution

    |

  8. sqrt(-1-sqrt(-1-sqrt(-1oo))) is equal to (where omega is the imaginary...

    Text Solution

    |

  9. Evaluate: ("lim")(nvec0)8/(x^8){1-cos(x^2)/2-cos(x^2)/4+cos(x^2)/2cos(...

    Text Solution

    |

  10. If (1+x)^(15)=C0+C1x+C2x^2++C(15)x^(15), then find the su of C1+2C3+3C...

    Text Solution

    |

  11. G i v e nint0^(pi/2)(dx)/(1+sinx+cosx)=log2. Then the value of integr...

    Text Solution

    |

  12. If y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=-cosx ,y(0)=1, then y(pi/2)=

    Text Solution

    |

  13. There are six periods in each working day of a school. Find the number...

    Text Solution

    |

  14. Prove that: In=int0^oox^(2n+1) e^ (-x^2) dx=(n !)/2,n in N.

    Text Solution

    |

  15. The number of all possible selections of one or more questions from 10...

    Text Solution

    |

  16. overset(pi)underset(-pi)int [cos px-sin qx]^(2) dx where p,q are integ...

    Text Solution

    |

  17. A forecast forr Indian team is to be made of the results of five crick...

    Text Solution

    |

  18. If z=x+iy then the equation of a straight line A x+B y+C=0 where A ,B ...

    Text Solution

    |

  19. sum(r=0)^n(-1)^r^n Cr[1/(2^r)+3/(2^(2r))+7/(2^(3r))+(15)/(2^(4r))+ u p...

    Text Solution

    |

  20. If two events A and B are such that P(A^c)=0. 3. P(B)=0. 4a n dP(AnnB^...

    Text Solution

    |