Home
Class 12
MATHS
The number of solutions of equation |z|^...

The number of solutions of equation `|z|^2-(3+i)z-(3-i)barz-6=0` is (A) 0 (B) 1 (C) 2 (D) `infty`

A

0

B

1

C

2

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 2 (LEVEL -II) MULTIPLE CORRECT - JEE ADVANCED|10 Videos
  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 3 (LEVEL -III) SUBJECTIVE - JEE ADVANCED|65 Videos
  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 1 (OBJECTIVE PROBLEMS I JEE MAIN) - SECTIONS - S|2 Videos
  • CIRCLE

    MOTION|Exercise Exercise - 4 | Level - II (Previous Year | JEE Advanced|22 Videos
  • CONTINUITY

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) (PREVIOUS YEAR JEE ADVANCED)|5 Videos

Similar Questions

Explore conceptually related problems

The number of solutions of equation |z|^(2)-(3+i)z-(3-i)bar(z)-6=0 is (A) 0 (B) 1(C)2(D)oo

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

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

The number solutions of the equation |z|^(2)+4bar(z)=0(A)2(B)4(C)6(D)3

The number of solutions of sqrt(2)|z-1|=z-i, where z=x+iy is (A) 0 (B) 1 (C) 2 (D) 3

The number of solutions of z^(3)+dot z=0 is 2 (b) 3(c)4(d)5

Number of imaginary complex numbers satisfying the equation, z^2=bar(z)2^(1-|z|) is (A) 0 (B) 1 (C) 2 (D) 3

The number of solutions of the equation z^(3)+(3(barz)^(2))/(|z|)=0 (where, z is a complex number) are

The number of solutions of the system of equations: 2x+y-z=7x-3y+2z=1, is x+4y-3z=53(b)2 (c) 1 (d) 0

MOTION-COMPLEX NUMBER -EXERCISE - 2 (LEVEL -I) OBJECTIVE PROBLEMS - JEE MAIN
  1. If |z1|=2,|z2|=3,|z3|=4 and |2z1+3z2+4z3|=4 then the expression |8z2z3...

    Text Solution

    |

  2. I f|z|=max{|z-1|,|z+1|}, then

    Text Solution

    |

  3. If z is a complex number such that |z|=4 and a r g(z)=(5pi)/6 , then z...

    Text Solution

    |

  4. Find the principal argument of the complex number sin(6pi)/5+i(1+cos(6...

    Text Solution

    |

  5. If z1 and z2, are two non-zero complex numbers such that |z1+z2|=|z1|...

    Text Solution

    |

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

    Text Solution

    |

  7. The locus of z which lies in shaded region is best represented by

    Text Solution

    |

  8. If z1 & z2 are two complex number & if arg (z1+z2)/(z1-z2)=pi/2 but |z...

    Text Solution

    |

  9. If magnitude of a complex number 4 – 3i is tripled and is rotated by a...

    Text Solution

    |

  10. The points, z1,z2,z3,z4, in the complex plane are the vartices of a pa...

    Text Solution

    |

  11. The equation |z-1|^2+|z+1|^2=2 represents (1) a circle of radius 1(2) ...

    Text Solution

    |

  12. The point z1=3+sqrt(3)ia d nz2=2sqrt(3)+6i are given on la complex pla...

    Text Solution

    |

  13. The points of intersection of the two curves |z – 3| = 2 and |z| = 2 i...

    Text Solution

    |

  14. The region of Argand diagram defined by |z – 1| + |z + 1| le 4 is

    Text Solution

    |

  15. If w = z/(z-1/3i) and |w| =1, then z lies on

    Text Solution

    |

  16. If z = x + iy then the equation of a straight line Ax + By + C = 0 whe...

    Text Solution

    |

  17. Points z1 & z2 are adjacent vertices of a regular octagon. The vertex...

    Text Solution

    |

  18. If |z-2-3i|+|z+2-6i|=4 where i=sqrt(-1) then find the locus of P(z)

    Text Solution

    |

  19. Let z1 and z2 be two nonreal complex cube roots of unity and (|z-z1|)^...

    Text Solution

    |

  20. The number of solutions of equation |z|^2-(3+i)z-(3-i)barz-6=0 is (...

    Text Solution

    |