Home
Class 12
MATHS
If z=3-4i then z^4-3z^3+3z^2+99z-95 is e...

If `z=3-4i` then `z^4-3z^3+3z^2+99z-95` is equal to

Text Solution

Verified by Experts

The correct Answer is:
5
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 15

    NTA MOCK TESTS|Exercise MCQS (MATH)|25 Videos
  • JEE MOCK TEST 18

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

If z is a non real cube root of unity, then (z+z^(2)+z^(3)+z^(4))^(9) is equal to

Suppose z_(1), z_(2), z_(3) are vertices of an equilateral triangle whose circumcentre -3 + 4i, then |z_(1) + z_(2) + z_(3)| is equal to

If z_1 z_2 = 5 & z_1^3 z_2^3 = 20 15 i then |z_1^4 z_2^4| is equal to

If |z_1=1,|z_2|=2,|z_3|=3 and |z_1+z_2+z_3|=1, then |9z_1z_2+4z_3z_1+z_2z_3| is equal to (A) 3 (B) 36 (C) 216 (D) 1296

If z_(1),z_(2),z_(3) are three complex numbers, such that |z_(1)|=|z_(2)|=|z_(3)|=1 & z_(1)^(2)+z_(2)^(2)+z_(3)^(2)=0 then |z_(1)^(3)+z_(2)^(3)+z_(3)^(3)| is equal to _______. (not equal to 1)

If z_1, z_2 and z_3 , are the vertices of an equilateral triangle ABC such that |z_1 -i| = |z_2 -i| = |z_3 -i| .then |z_1 +z_2+ z_3| equals to : a) 3sqrt(3) b) sqrt(3) c) 3 d) 1/(3sqrt(3))

z is a complex number satisfying z^(4)+z^(3)+2z^(2)+z+1=0 , then |z| is equal to

If |z_1|=1, |z_2|=2, |z_3|=3 and |9z_1z_2 + 4z_1z_3 + z_2z_3|=36 , then |z_1+z_2+z_3| is equal to :

NTA MOCK TESTS-JEE MOCK TEST 17-MATHEMATICS
  1. A plane P = 0, which is perpendicular to line (x-2)/2 = (y+2)/(2) = (z...

    Text Solution

    |

  2. If A^2 = A, then (I + A)^(4) is equal to

    Text Solution

    |

  3. The mean and variance of a data set comprising 15 observations are 15 ...

    Text Solution

    |

  4. If A = {x : x = 6^n - 5n - 1, n in N} and B = {x : x = 25(n - 1), n in...

    Text Solution

    |

  5. If f (tan x) = cos 2x , x != (2n + 1) pi/2, n in I then incorrect stat...

    Text Solution

    |

  6. The value of lim(x to pi) (tan(picos^2 x))/(sin^2 x) is equal to

    Text Solution

    |

  7. If f(x) = ((2 + x)/(1 + x))^(1 + x), then f'(0) is equal to

    Text Solution

    |

  8. Total number of lines touching atleast two circles of the family of fo...

    Text Solution

    |

  9. The locus of the middle points of the chords of the parabola y^(2)=4ax...

    Text Solution

    |

  10. A flagstaff stands vertically on a pillar, the height of the flagstaff...

    Text Solution

    |

  11. If z=3-4i then z^4-3z^3+3z^2+99z-95 is equal to

    Text Solution

    |

  12. If the roots of the equation x^(3) + bx^(2) + cx + d = 0 are in arithm...

    Text Solution

    |

  13. In the expression of (x^(4/5) + x^(-1/5))^(n), the coefficient of the ...

    Text Solution

    |

  14. In the interval (0,2 pi), sum of all the roots of the equation sin(pi ...

    Text Solution

    |

  15. There are 3 oranges, 5 apples and 6 mangoes in a fruit basket. Number ...

    Text Solution

    |

  16. If int(x^(pq-p-1))/((x^p +1)^(q))dx= 2(1+x^(-p))^(1-q)/(lambda p(q-1))...

    Text Solution

    |

  17. The smallest possible natural number n, for which the equation x^(2) -...

    Text Solution

    |

  18. If f(x) ={(lambdasqrt(2x+3),0 lex le3),(mux + 12, 3 < x le 9):} is dif...

    Text Solution

    |

  19. Let in DeltaABC coordinates of vertex A is (0,0). Equation of the inte...

    Text Solution

    |

  20. Let the maximum and minimum value of the expression 2 cos^(2) theta + ...

    Text Solution

    |