Home
Class 12
MATHS
If omega is an imaginary cube root of un...

If `omega` is an imaginary cube root of unity, then the value of `(p+q)^3+(pomega+qomega^2)^3+(pomega^2+qomega)^3` is: `(a) 3(p+q)(p+qomega)(p+qomega^2)` (b) `3(p^3+q^3)` (c)`3(p^3+q^3)-p q(p+q)` (d) `3(p^3+q^3)p q(p+q)`

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, 1, omega, omega^(2) are cube roots of unity, show that (p + qomega + r omega^(2))/(r + p omega + q omega^(2))= omega^(2)

If p and q are zeros of 3x^2+2x-9 . then value of p-q

If p, q and r anre 3 statements, then the truth value of ((-p vv q) ^^ r) implies p is

Find the value of 2p^2q-3pq^2+2p-3p+1 when p=3,q=-3

If p/q=(2/3)^2-:(6/7)^0, find the value of (q/p)^3

If p = 4,q = -3 and r = 2, find the value of : p^(3)+q^(3)-r^(3)-3pqr

If p = 4,q = 3 and r = -2, find the values of : (3pq+2qr^(2))/(p+q-r)

Find the value of : 2p + 3q + 4r + por when p =-1,q = 2 and r = 3

If p = 3 , q = 2 and r = -1, find the values of (3p^(2)q+5r)/(2pq-3qr)

If A be one A.M. and p ,q be two G.M. ' s between two numbers, then 2A is equal to (a) (p^3+q^3)/(p q) (b) (p^3-q^3)/(p q) (c) (p^2+q^2)/2 (d) (p q)/2

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Through the vertex ' O^(prime) of the parabola y^2=4a x , variable cho...

    Text Solution

    |

  2. Vector vec a in the plane of vec b=2 hat i+ hat ja n d vec c= hat i-...

    Text Solution

    |

  3. If omega is an imaginary cube root of unity, then the value of (p+q)^3...

    Text Solution

    |

  4. Let f(x)=1/x^2 int4^x (4t^2-2f'(t))dt then find 9f'(4)

    Text Solution

    |

  5. The value of lim(ntooo)((a-1+root(n)(b))/a)^(n) (agt0,bgt0) is equal t...

    Text Solution

    |

  6. If A is the set of even natural numbers less than 8 and B in the set p...

    Text Solution

    |

  7. If z and w are two complex number such that |zw| = 1 and arg (z) - ar...

    Text Solution

    |

  8. A parabola with vertex (2, 0) and axis of symmetry parallel to the ...

    Text Solution

    |

  9. int(0)^(pi) (x)/(1+sinx)

    Text Solution

    |

  10. A point on a parabola y^2=4a x , the foot of the perpendicular from it...

    Text Solution

    |

  11. If f(x)=Asin((pix)/2)+b ,f^(prime)(1/2)=sqrt(2)a n d int0^1f(x)dx=(2A...

    Text Solution

    |

  12. The ratio of the roots of the equation x^(2)+alphax+alpha+2=0 is 2. fi...

    Text Solution

    |

  13. The circle x^2+y^2-4x-2y=11 makes equal intercepts on the lines L1: x...

    Text Solution

    |

  14. If the angle A ,Ba n dC of a triangle are in an arithmetic propression...

    Text Solution

    |

  15. Find the value of a ,b ,c such that curves y=x^2+a x+ba n dy=c x-x^2 w...

    Text Solution

    |

  16. Let G(x)=(1/(a^x-1)+1/2)F(x), where a is a positive real number not eq...

    Text Solution

    |

  17. The number of values of k for which the system of the equations (k+1)x...

    Text Solution

    |

  18. If sum(k=1)^(k=n)tan^(- 1)((2k)/(2+k^2+k^4))=tan^(- 1)(6/7), then the ...

    Text Solution

    |

  19. A B C D is a quadrilateral. E is the point of intersection of th...

    Text Solution

    |

  20. about to only mathematics

    Text Solution

    |