Home
Class 12
MATHS
If the area of the triangle formed by th...

If the area of the triangle formed by the points z, z+iz and iz is 50 square units, then `|z|` is equal to

A

`5`

B

`8`

C

`10`

D

`12`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|50 Videos
  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos
  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - HYPERBOLA|9 Videos

Similar Questions

Explore conceptually related problems

If the area of the triangle formed by the vertices z, iz, and z + iz is 50 square units, find the value of |z|.

If the area of the triangle formed by the points (x,2x) ,(-2,6) and (3,1) is 5 square units then x=………….

The area of triangle formed by the points (-5,0) ,(0,-5) and (5,0) is ……….

The area of the triangle formed by the complex numbers z, iz, and z + iz in the Argand's diagram is

The maximum area of the triangle formed by the complex coordinates z, z_1,z_2 which satisfy the relations |z-z_1|=|z-z_2| and |z-(z_1+z_2 )/2| |z_1-z_2| is

If z=i^(i^(i)) where i=sqrt-1 then |z| is equal to

Show that the area of the triangle on the Argand diagram formed by the complex number z ,i za n dz+i z is 1/2|z|^2

If z is any complex number, then the points z,iz,-z,-iz

NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. If alpha, beta are the roots of the equation x^(2)+x+1=0, then the equ...

    Text Solution

    |

  2. If sec theta" and "tan theta are the roots of ax^(2)+bx+c=0 (a,b ne 0)...

    Text Solution

    |

  3. If the area of the triangle formed by the points z, z+iz and iz is 50 ...

    Text Solution

    |

  4. The locus of z such that arg[(1-2i)z-2+5i]= (pi)/(4) is a

    Text Solution

    |

  5. If z= sqrt(3)+i, then the argument of z^(2)e^(z-i) is equal to

    Text Solution

    |

  6. If omega ne 1" and "omega^(3)=1, the (a omega+b + c omega^(2))/(a omeg...

    Text Solution

    |

  7. The centre of a regular hexagon is at the point z=i. If one of its ver...

    Text Solution

    |

  8. If the roots of the equation (1)/(x+p)+(1)/(x+q)=(1)/(r ),(x ne -p, x ...

    Text Solution

    |

  9. The solution of the equation (3+2sqrt(2))^(x^(2)-8)+(3+2sqrt(2))^(8-x^...

    Text Solution

    |

  10. If -2-i is a root of the equation ax^(2)+12x+b=0 (where a and b are re...

    Text Solution

    |

  11. If one root of the equation lx^(2)+mx+n=0" is "(9)/(2) (l,m and n are ...

    Text Solution

    |

  12. If x^(2) +4 ax +2 gt 0 for all values of x, then a lies in the interva...

    Text Solution

    |

  13. If (x+iy)^(1/3)= 2+3i, then 3x+2y is equal to

    Text Solution

    |

  14. The modulus of the complex number z such that |z+3-i|=1" and "arg z= p...

    Text Solution

    |

  15. If z(1),z(2),"……"z(n) are complex numbers such that |z(1)|=|z(2)|="…."...

    Text Solution

    |

  16. The value of (cos 30^(@)+isin 30^(@))/(cos 60^(@)-isin 60^(@)) is equa...

    Text Solution

    |

  17. If z=r(cos theta+ isin theta), then the value of (z)/(bar z)+(barz)/(z...

    Text Solution

    |

  18. If z(1)= sqrt(2)(cos ""(pi)/(4)+ isin""(pi)/(4))" and "z(2)= sqrt(3)(c...

    Text Solution

    |

  19. The value of a for which the equation 2x^(2)+2 sqrt(6)x+a=0 has equal ...

    Text Solution

    |

  20. If (3)/(2)+(7)/(2)i is a solution of the equation ax^(2)-6x+b=0, where...

    Text Solution

    |