Home
Class 12
MATHS
If f(x) =x^4-8x^3+4x^2+4x+39 and f (3 +...

If `f(x) =x^4-8x^3+4x^2+4x+39 and f (3 + 2i) = a + ib` then `a : b` is equal to

A

`-(1)/(8)`

B

`-(1)/(4)`

C

`(1)/(8)`

D

`(1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ML KHANNA|Exercise Problem Set (3) (M.C.Q) Locus:|17 Videos
  • COMPLEX NUMBERS

    ML KHANNA|Exercise Problem Set (3) (M.C.Q) Inequalities:|27 Videos
  • COMPLEX NUMBERS

    ML KHANNA|Exercise Problem Set (2) (Fill in the blanks)|2 Videos
  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise SELF ASSIGNMENT TEST |11 Videos
  • CONCEPTS OF SET THEORY

    ML KHANNA|Exercise Self Assessment Test|13 Videos

Similar Questions

Explore conceptually related problems

If f(x) =x^4-8x^3+4x^2+4x+ 39 and f(3-2i) =a+ib, then the vaue of a.b is

If f(x) = x^3 + 3x^2 - 4x then f(x + 1) is :

If f(x)=x^(3)+7x^(2)+8x-9, find f 4)

If f(x)=x^(3)+2x^(2)+3x+4 and g(x) is the inverse of f(x) then g'(4) is equal to a.(1)/(4) b.0 c.(1)/(3) d.4

If f(x)=x^(3)+2x^(2)+3x+4 and g(x) is the inverse of f(x) then g'(4) is equal to- (1)/(4)(b)0 (c) (1)/(3)(d)4

If g(x) = 2x^(2) + 3x - 4 and g (f(x)) = 8x^(2) + 14 x + 1 then f (2) =

If f(x)=2x^(6)+3x^(4)+4x^(2) , then f'(x) is

ML KHANNA-COMPLEX NUMBERS -Problem Set (3) (M.C.Q)
  1. If sqrt( x + iy) = pm (a + ib) , " then " sqrt( - x - iy) is equal to

    Text Solution

    |

  2. If (x+i y)(p+i q)=(x^2+y^2)i , prove that x=q ,=pdot

    Text Solution

    |

  3. The real part of ( 1- cos theta + 2 i sin theta )^(-1) is

    Text Solution

    |

  4. The number of solutions of the equation z^2=barz is

    Text Solution

    |

  5. The number of solutions of z^(2) + 2 bar(z) = 0 is

    Text Solution

    |

  6. Number of solutions of the equation z^(2)+|z|^(2)=0, where z in C, is

    Text Solution

    |

  7. The solution of the equation |z|-z=1+2i is

    Text Solution

    |

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

    Text Solution

    |

  9. The number of solutions of the system of equations "Re(z^(2))=0, |z|=2...

    Text Solution

    |

  10. The system of equations |z+1-i|=sqrt2 and |z| = 3 has

    Text Solution

    |

  11. The number of jsolutions of the equation z^(2)+barz=0, is

    Text Solution

    |

  12. The number of solutions of the equation z^(3)+barz=0, is

    Text Solution

    |

  13. The number of points in the complex plane that satisfy the conditions ...

    Text Solution

    |

  14. The number of values of z which satisfy both the equations |z-1-i|=sqr...

    Text Solution

    |

  15. The solution of the equation |z|-z=1+2i is

    Text Solution

    |

  16. If z^(2)+(p+iq)z+(r+is)=0, where,p,q,r,s are non-zero has real roots,...

    Text Solution

    |

  17. If f(x) =x^4-8x^3+4x^2+4x+39 and f (3 + 2i) = a + ib then a : b is eq...

    Text Solution

    |

  18. The equation barbz+bbarz=c, where b is a non-zero complex constant and...

    Text Solution

    |

  19. Let a and b be two non- zero complex numbers. If the lines a bar(z) ...

    Text Solution

    |

  20. The closest distance of origin from the curve given by b bar(z) + bar...

    Text Solution

    |