Home
Class 11
MATHS
If z^3+(3+2i)z+(-1+i a)=0 has one real r...

If `z^3+(3+2i)z+(-1+i a)=0` has one real root, then the value of `a` lies in the interval `(a in R)` `a.(-2,1)` b. `(-1,0)` c. `(0,1)` d. `(-2,3)`

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise All Questions|363 Videos

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|1167 Videos

Similar Questions

Explore conceptually related problems

One root of the equation cosx-x+1/2=0 lies in the interval

If iz^3+z^2-z+i=0 then the value of abs(z) is

If z =(-2)/(1+sqrt3i), then the value of arg(z) is-

If 2a+3b+6c=0 then the equation ax^2+bx+c=0 has in the interval (0,1)

If the equation z^3 + (3 + i)(z^2) - 3z - (m + i)= 0, m in R , has at least one real root, then sum of possible values of m, is

If A^2=I, then the value of det (A-I) is (where A has order 3) 1 b. -1 c. 0 d. cannot say anything

If abs(z-i)le2 and z_0=5+3i then the maximum value of abs(absiz+z_0) is

If the equation 2^(2x)+a*2^(x+1)+a+1=0 has roots of opposite sign, then the exhaustive set of real values of a is (a)(−∞,0) (b)(−1,−2/3) (c)(−∞,−2/3) (d)(−1,∞)

If z_(1)=3i and z_(2)=-1-i , where i=sqrt(-1) find the value of arg ((z_(1))/(z_(2)))

If the system of equations x-k y-z=0, k x-y-z=0,x+y-z=0 has a nonzero solution, then the possible value of k are a. -1,2 b. 1,2 c. 0,1 d. -1,1

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If a ,b ,c in R^+and 2b=a+c , then check the nature of roots of equat...

    Text Solution

    |

  2. If z is a complex number such taht z^2=( barz)^2, then find the loc...

    Text Solution

    |

  3. If z^3+(3+2i)z+(-1+i a)=0 has one real root, then the value of a lies ...

    Text Solution

    |

  4. Determine the value of k for which x+2 is a factor of (x+1)^7+(2x+k)^3...

    Text Solution

    |

  5. Find the complex number z satisfying R e(z^2) =0,|z|=sqrt(3.)

    Text Solution

    |

  6. P(z1),Q(z2),R(z3)a n dS(z4) are four complex numbers representing the ...

    Text Solution

    |

  7. Given that the expression 2x^3+3p x^2-4x+p has a remainder of 5 when d...

    Text Solution

    |

  8. z1a n dz2 are two distinct points in an Argand plane. If a|z1|=b|z2|(w...

    Text Solution

    |

  9. Consider two complex numbers alpha and beta as alpha=[(a+b i)//(a-b i)...

    Text Solution

    |

  10. In how many points the graph of f(x)=x^3+2x^2+3x+4 meets the x-axis ...

    Text Solution

    |

  11. If x^2+x+1=0 then the value of (x+1/x)^2+(x^2+1/(x^2))^2+...+(x^27+1/(...

    Text Solution

    |

  12. If (a+ib)(c+id)(e+if)(g+ih)=A+iB, then show that (a^2+b^2)(c^2+d^2)(e^...

    Text Solution

    |

  13. Find the roots of the equation x+1/x=3

    Text Solution

    |

  14. Solve the equation |z|=z+1+2idot

    Text Solution

    |

  15. If z=i^(i^(i)) where i=sqrt-1 then find the value of |z|

    Text Solution

    |

  16. Find the values of a for which the roots of the equation x^2+a^2=8x+6...

    Text Solution

    |

  17. If alpha and beta are different complex numbers with absbeta=1. then f...

    Text Solution

    |

  18. If z=i log(2-sqrt3), then cosz= a. -1 b. (-1)/2 c. ...

    Text Solution

    |

  19. If f(x)=x^3-x^2+a x+b is divisible by x^2-x , then find the value of...

    Text Solution

    |

  20. z=x+iy and w=(1-iz)/(1+iz) and |w|=1 ,prove that z is purely real

    Text Solution

    |