Home
Class 12
MATHS
Find the point of intersection of the cu...

Find the point of intersection of the curves `a r g(z-3i)=(3pi)/4a n d arg(2z+1-2i)=pi//4.`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 1 (OBJECTIVE PROBLEMS I JEE MAIN) - SECTIONS - A & B|4 Videos
  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 1 (OBJECTIVE PROBLEMS I JEE MAIN) - SECTIONS - C|1 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

Find the point of intersection of the curves arg(z-3i)=(3 pi)/(4) and arg (2z+1-2i)=pi/4

Number of points of intersections of the curves Arg((z-1)/(z-3))=(pi)/(4) and Arg(z-2)=(3 pi)/(4) are

Number of points of intersections of the curves Arg((z-1)/(z-3))=(pi)/(4) and Arg(z-2)=(3 pi)/(4) are

Number of points of intersections of the curves Arg((z-1)/(z-3))=(pi)/(4) and Arg(z-2)=(3 pi)/(4) is/are

Let A(z_(1)) be the point of intersection of curves arg(z-2+i)=(3 pi)/(4)) and arg(z+i sqrt(3))=(pi)/(3),B(z_(2)) be the point on the curve ar g(z+i sqrt(3))=(pi)/(3) such that |z_(2)-5|=3 is minimum and C(z_(2)) be the centre of circle |z-5|=3. The area of triangle ABC is equal to

The number of points of intersection of the curves represented by arg(z-2-7i)=cot^(-1)(2) and arg ((z-5i)/(z+2-i))=pm pi/2

The pointo fintersection of the cures represented by the equations art(z-3i)= (3pi)/4 and arg(2z+1-2i)= pi/4 (A) 3+2i (B) - 1/2+5i (C) 3/4+9/4i (D) none of these

Find the center of the are represented by arg[(z-3i)/(z-2i+4)]=pi/4

if arg(z+a)=(pi)/(6) and arg(z-a)=(2 pi)/(3) then

Trace the locus of z if arg(z+i)=(-pi)/(4)

MOTION-COMPLEX NUMBER -EXERCISE - 4 (LEVEL -II) PREVIOUS YEAR - JEE ADVANCED
  1. Find the point of intersection of the curves a r g(z-3i)=(3pi)/4a n d ...

    Text Solution

    |

  2. If w=alpha+ibeta, where beta!=0 and z!=1 , satisfies the condition tha...

    Text Solution

    |

  3. A man walks a distance of 3 units from the origin towards the North...

    Text Solution

    |

  4. If |z|=1a n dz!=+-1, then all the values of z/(1-z^2) lie on a line no...

    Text Solution

    |

  5. A particle P starts from the point z(0)=1+2i, where i=sqrt(-1). It mov...

    Text Solution

    |

  6. Let A ,B ,C be three sets of complex number as defined below A={z : I ...

    Text Solution

    |

  7. Let A,B,C be three sets of complex number as defined below A={z:lm ...

    Text Solution

    |

  8. Let A,B,C be three sets of complex number as defined below A={z:lm ...

    Text Solution

    |

  9. Let z=x+i y be a complex number where xa n dy are integers. Then, the ...

    Text Solution

    |

  10. Let z=costheta+isintheta. Then the value of sum(m->1-15)Img(z^(2m-1)) ...

    Text Solution

    |

  11. Q. Let p and q real number such that p!= 0,p^2!=q and p^2!=-q. if alph...

    Text Solution

    |

  12. Let omega be a complex cube root unity with omega!=1. A fair die is th...

    Text Solution

    |

  13. Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+iz(2...

    Text Solution

    |

  14. Let omega be the complex number " cos " ( 2pi)/(3) + isin (2pi)/(3)...

    Text Solution

    |

  15. Match the statement in Column I with those in Column II. [Note : He...

    Text Solution

    |

  16. Let a, b and c be three real numbers satisfying [a" "b" "c][[1,9,7],[...

    Text Solution

    |

  17. Let omega be the solution of x^(3)-1=0 with "Im"(omega) gt 0. If a=2 w...

    Text Solution

    |

  18. Let a,b, and c be three real numbers satistying [a,b,c][(1,9,7),(8,2,7...

    Text Solution

    |

  19. If z is any complex number satisfying abs(z-3-2i) le 2, where i=sqrt(-...

    Text Solution

    |

  20. Let omega!=1 be cube root of unity and S be the set of all non-singula...

    Text Solution

    |

  21. Let omega= e^((ipi)/3) and a, b, c, x, y, z be non-zero complex numb...

    Text Solution

    |