Home
Class 11
MATHS
What is the locus of z if ||z-cos^(-1)co...

What is the locus of `z` if `||z-cos^(-1)cos12|-|z-sin^(-1)s in 12||=8(pi-3)?`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise All Questions|365 Videos
  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|1344 Videos

Similar Questions

Explore conceptually related problems

What is locus of z if |z-1-sin^(-1)(1/sqrt3)|+|z+cos^(-1)(1/sqrt3)-pi/2|=1?

What is the locus of z , if amplitude of (z-2-3i) is pi/4?

Find the locus of z if arg ((z-1)/(z+1))= pi/4

The value of cos^(-1)(cos 12)-sin^(-1)(sin14) is -2 b. 8pi-26 c. 4pi+2 none of these

The value of sin^(-1)(sin12)+sin^(-1)(cos12)=

The number of triple satisfying sin^(-1)x+cos^(-1)y+sin^(-1)z=2pi is

Identify locus z if R e(z+1)=|z-1|

In the Argands plane what is the locus of z(!=1) such that a rg{3/2((2z^2-5z+3)/(3z^2-z-2))}=(2pi)/3dot

In the Argands plane what is the locus of z(!=1) such that a rg{3/2((2z^2-5z+3)/(2z^2-z-2))}=(2pi)/3dot

The value of sin^(-1) (sin 12) + cos^(-1) (cos 12) is equal to

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If z is complex number, then the locus of z satisfying the condition...

    Text Solution

    |

  2. Find the remainder when x^3+4x^2-7x+6 is divided by x-1.

    Text Solution

    |

  3. What is the locus of z if ||z-cos^(-1)cos12|-|z-sin^(-1)s in 12||=8(pi...

    Text Solution

    |

  4. Use the factor theorem to find the value of k for which (a+2b),w h e ...

    Text Solution

    |

  5. If z is a complex number lying in the fourth quadrant of Argand plane ...

    Text Solution

    |

  6. If z=(lambda+3)+isqrt(5-lambda^2) then the locus of Z is

    Text Solution

    |

  7. Let z be a complex number having the argument theta ,0 < theta < pi/2,...

    Text Solution

    |

  8. Given that x^2+x-6 is a factor of 2x^4+x^3-ax^2+b x+a+b-1, find the va...

    Text Solution

    |

  9. If z is any complex number such that |3z-2|+|3z+2|=4 , then identify t...

    Text Solution

    |

  10. If p ,q ,r are positive and are in A.P., the roots of quadratic equat...

    Text Solution

    |

  11. A(z1),B(z2),C(z3) are the vertices of the triangle A B C (in anticlock...

    Text Solution

    |

  12. If |z^2-1|=|z|^2+1, then z lies on (a) The Real axis (b)The imaginary...

    Text Solution

    |

  13. A(z1),B(z2),C(z3) are the vertices of he triangle A B C (in anticlockw...

    Text Solution

    |

  14. The number of points of intersection of two curves y=2sinxa n dy=5x^2+...

    Text Solution

    |

  15. If |z|=1, then the point representing the complex number -1+3z will li...

    Text Solution

    |

  16. If one vertex of a square whose diagonals intersect at the origin is 3...

    Text Solution

    |

  17. If alphaa n dbeta are the roots of x^2+p x+q=0a n dalpha^4,beta^4 ar...

    Text Solution

    |

  18. Find the center of the are represented by a r g[(z-3i)//(z-2i+4)]=pi//...

    Text Solution

    |

  19. Let |zr-r|lt=r ,AAr=1,2,3,... ,n Then |sum(r=1)^n Zr| is less than n ...

    Text Solution

    |

  20. If a^2+b^2+c^2=1,t h e na b+b c+c a lie in the interval [1/3,2] b. ...

    Text Solution

    |