Home
Class 11
MATHS
If arg ((z-1)/(z+1))=pi/4,, then show th...

If arg `((z-1)/(z+1))=pi/4`,, then show that in complex plane, the locus of z is a cricle.

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPERS-SET 11

    UNITED BOOK HOUSE|Exercise EXERCISE|46 Videos

  • MODEL QUESTION PAPERS-SET 13

    UNITED BOOK HOUSE|Exercise EXERCISE|50 Videos

Similar Questions

Explore conceptually related problems

If arg""(z-1)/(z+1)=(pi)/(4), show that the locus of z in the complex plane is a circle.

if amp (z-1)/(z+1)=pi/3 , then the locus of z is

If z = x + iy and arg ((z-1)/(z+1))=(pi)/(4) , then the locus of (x, y) is

The locus of any point P(z) on argand plane is arg((z-5i)/(z+5i))=(pi)/(4) . Then the length of the arc described by the locus of P(z) is

Let z=x+iy and omega=(1-iz)/(z-i). If |omega|=1 show the in the complex plane the point z lies on the real axis.

If z be complex no. and (z-1)/(z+1) be purely imaginary show that z lies on the circle whose centre is at origin and the radius is 1

If abs(z)gt1 then find the position of the complex no. of z in argand plane.

If z=-i-1 is a complex number,then arg (z) will be

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

If the imaginary part of (2z+1)//(i z+1) is -2, then find the locus of the point representing in the complex plane.

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 12-EXERCISE
  1. Solve :sin x 4 cos x = sin 2x 4 cos 2x.

    Text Solution

    |

  2. Prove by mathematical induction, 1+1/4+1/9+...+1/n^2<2-1/nwhen n ge 2,...

    Text Solution

    |

  3. If arg ((z-1)/(z+1))=pi/4,, then show that in complex plane, the locus...

    Text Solution

    |

  4. Find the term independent of x of the expansion of (1+x)^3(x-1/x)^6

    Text Solution

    |

  5. If pth, qth and rth terms of on AP are a. b and c, then show that a(q...

    Text Solution

    |

  6. A straight line form a right angled triangle with the axes. If the len...

    Text Solution

    |

  7. If the co-ordinate of vertices of a triangle are (10, 4), (-4, 9) and ...

    Text Solution

    |

  8. Find the co-ordinate of a point on the circle x^2 +y^2 - 4x + 2y - 20...

    Text Solution

    |

  9. The co-ordinate of the vertices of a triangle are A(0, 2, -3), B(- 2,...

    Text Solution

    |

  10. Differentiate x+1/x(x!=0)at x = 1, with respect to x, with the help of...

    Text Solution

    |

  11. Evaluate : lim(xrarr0)sin(x^2+4x)/(x^3-5x^2+2x)

    Text Solution

    |

  12. ‘If p' and q are rational numbers, then pq is also rational convert t...

    Text Solution

    |

  13. ‘Square of a whole number is positive or negative’-find the validity o...

    Text Solution

    |

  14. If two numbers a and b are-chosen at random from the 1st 30 natural nu...

    Text Solution

    |

  15. Find A.M. and SD of the following distribution table :

    Text Solution

    |

  16. Using vector method in a triangle , prove that, (i) a/(sinA)=b/(sinB...

    Text Solution

    |

  17. If alpha,beta positive acute angles and sec(alpha+beta)-sec(alpha-beta...

    Text Solution

    |

  18. Draw the graph and find the common region of the system of following i...

    Text Solution

    |

  19. if z1=1+isqrt3,z2=sqrt3-ishow that (a)arg (z1z2)=arg(z1)+arg(z2)and (b...

    Text Solution

    |

  20. Find the vlaue of 47 C4+sum(r=0)^ 3( 50-^ rC3)

    Text Solution

    |