Home
Class 12
MATHS
If (z+2)/(z+6i) is purely real then the ...

If `(z+2)/(z+6i)` is purely real then the locus of z = x +iy is

A

`3x+y+6=0`

B

`3x+y-6=0`

C

`3x-y-6=0`

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 1)|6 Videos

  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 2)|6 Videos

  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Set 4|4 Videos

  • COORDINATE SYSTEM (2D)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|12 Videos

Similar Questions

Explore conceptually related problems

If (z-i)/(z+1) is purely imaginary then the locus of z = x + iy is

If (z - i)/(z +1) is purely imaginary then the locus of z = x +iy is

If a point p dentes a complex number z=x+iy in the argand plane and if (z+1)/(z+i) is a purely real number , then the locus of p is

If |z-3+i| = 4 then the locus of z = x +iy is

If z(barz+3)=2 then the locus of z = x + iy is

If Amp ((z+2)/(z-4i))=pi/2 then the locus of z = x + iy is .

If Arg (3z-2i) = pi//2 then the locus of z = x +iy is

If |z -2 - 3i| = 5 then the locus of z = x +iy is

If Re (z^2)=2 then the locus of z is

If the amplitude of z - 2 - 3i " is " pi//4 , then the locus of z = x +iy is

DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
  1. If zbarz=4 then the locus of z is

    Text Solution

    |

  2. If (z-i)/(z+1) is purely imaginary then the locus of z = x + iy is

    Text Solution

    |

  3. If (z+2)/(z+6i) is purely real then the locus of z = x +iy is

    Text Solution

    |

  4. It zne1 and z^2/(z-1) is real , then point represent by the complex n...

    Text Solution

    |

  5. A complex number z is said to be unimodular if |z|=1 , Suppose z1 and ...

    Text Solution

    |

  6. If z=(lamda+3)+isqrt(5-lamda^2) then the locus of z is a circle with ...

    Text Solution

    |

  7. If alpha+ibeta=Tan^(-1)(z),z=x+iy and alpha is constant then the locus...

    Text Solution

    |

  8. If |z-1| gt2|z-2| then the locus of z = x + iy is

    Text Solution

    |

  9. The region represented by |z+a|+|z-a| lt4a is

    Text Solution

    |

  10. The region of the argand plane defined by |z-i| +|z+i|le4 is

    Text Solution

    |

  11. The locus of z satisfying the inequality |(z+2i)/(2z+i)|lt1 where z = ...

    Text Solution

    |

  12. The locus of z satisfying the inequality log(1//3)|z+1|gtlog(1//3)|z-...

    Text Solution

    |

  13. If log tan30^@((2|z|^2+2|z|-3)/(|z|+1))lt-2 , then

    Text Solution

    |

  14. |z-4|lt|z-2| represents the region given by

    Text Solution

    |

  15. If |z-4/z|=2 , then the maximum value |z| is equal to

    Text Solution

    |

  16. If z is a complex number such that |z|ge2 ,then the minimum value of |...

    Text Solution

    |

  17. The number of complex number z such |z-1|=|z+1|=|z-i| equals

    Text Solution

    |

  18. The number of solutions for z^3+barz=0 is

    Text Solution

    |

  19. The triangle formed by the points 1, (1+i)/(sqrt(2)) and i as vertice ...

    Text Solution

    |

  20. If z1=1+2i,z2=2+3i,z3=3+4i, " then " z1,z2and z3 represents the vertic...

    Text Solution

    |