Home
Class 12
MATHS
If log(sqrt3) ((|z|^(2)-|z|+1)/(2+|z|)) ...

If `log_(sqrt3) ((|z|^(2)-|z|+1)/(2+|z|)) lt 2` ,then the locus of z is

A

`|z|=5`

B

`|z| lt 5`

C

`|z| gt 5`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|15 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|53 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|87 Videos

Similar Questions

Explore conceptually related problems

If log sqrt(3)((|z|^(2)-|z|+1)/(2+|z|))gt2 , then the locus of z is

If log_(sqrt3) |(|z|^2 -|z| +1|)/(|z|+2)|<2 then locus of z is

If (log)_(sqrt(3))((|z|^2-|z|+1)/(2+|z|))>2, then locate the region in the Argand plane which represents zdot

If log_(tan30^@)[(2|z|^(2)+2|z|-3)/(|z|+1)] lt -2 then |z|=

If Imz((z-1)/(2z+1))=-4 , then locus of z is

If log_(1/2)((|z|^2+2|z|+4)/(2|z|^2+1))<0 then the region traced by z is ___

If "Im"(2z+1)/(iz+1)=-2 , then locus of z, is

If z=x+iy is a complex number satisfying |z+i/2|^2=|z-i/2|^2 , then the locus of z is

The locus of the complex number z satisfying the inequaliyt log_(1/sqrt(2)) ((|z-1|+6)/(2|z-1|-1))gt1 (2 where |z-1|!= 1/2) is (A) a circle (B) interior of a circle (C) exterior of circle (D) none of these

If z=x+iy and real part ((z-1)/(2z+i))=1 then locus of z is

OBJECTIVE RD SHARMA ENGLISH-COMPLEX NUMBERS -Exercise
  1. If z(1) , z(2) are two complex numbers such that I m (z(1) + z(2)) = 0...

    Text Solution

    |

  2. If z^2+z|z|+|z^2|=0, then the locus z is a. a circle b. a straight ...

    Text Solution

    |

  3. If log(sqrt3) ((|z|^(2)-|z|+1)/(2+|z|)) lt 2 ,then the locus of z is

    Text Solution

    |

  4. Let g(x) and h(x) are two polynomials such that the polynomial P(x) =g...

    Text Solution

    |

  5. If g(x) and h(x) are two polynomials such that the polynomials P(x)=g(...

    Text Solution

    |

  6. if x(k) = cos pi/3^(k) + isin pi/3^(k) , find x(1)x(2)x(3)……oo (...

    Text Solution

    |

  7. If (a1+ib1)(a2+ib2).....(an+ibn)=A+iB, then (a1^2+b1^2)(a2^2+b2^2).......

    Text Solution

    |

  8. If (a(1)+ib(1))(a(2)+ib(2))………………(a(n)+ib(n))=A+iB, then sum(i=1)^(n) ...

    Text Solution

    |

  9. If cosalpha+2cosbeta+3cosgamma=sinalpha+2sinbeta+3singamma=0,t h e nt ...

    Text Solution

    |

  10. If alpha,betaandgamma are the cube roots of P(p)lt0), then for any x, ...

    Text Solution

    |

  11. prove that tan(i" In"((a-ib)/(a+ib)))=(2ab)/(a^(2)-b^(2)) (where a, ...

    Text Solution

    |

  12. Find the relation if z1, z2, z3, z4 are the affixes of the vertices of...

    Text Solution

    |

  13. The locus of the points representing the complex numbers z for which |...

    Text Solution

    |

  14. For n=6k, k in z, ((1-isqrt(3))/(2))^(n)+((-1-isqrt(3))/(2))^(n) has t...

    Text Solution

    |

  15. The product of all values of (cosalpha+isinalpha)^(3//5) is

    Text Solution

    |

  16. If C^(2)+S^(2)=1, then (1+C+iS)/(1+C-iS) is equal to

    Text Solution

    |

  17. The centre of a square ABCD is at z=0, A is z(1). Then, the centroid o...

    Text Solution

    |

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

    Text Solution

    |

  19. The vector z=-4+5i is turned counter clockwise through an angle of 180...

    Text Solution

    |

  20. The value of [sqrt(2)(cos(56^(@)15^('))+isin(56^(@)15^('))]^(8), is

    Text Solution

    |