Home
Class 12
MATHS
Show that the points in the Argand diagr...

Show that the points in the Argand diagram represented by the complex number `1+3i,4-3i,5-5i` are collinear.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise EXERCISE - 5.2 (Short Answer Questions )|10 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|17 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise EXERCISE - 5.1 (SHORT ANSWER QUESTIONS)|17 Videos

  • CIRCLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|164 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise (Level-2)|38 Videos

Similar Questions

Explore conceptually related problems

Show that the points in the Argand plnae, represented by the complex numbers 2+i4+3i,2+5i,3i are the vertices of a square.

Show that the points in the Argand digraam represented by the complex numbers 2+2i,-2-2i, 2 sqrt(3)+ 2sqrt(3)i are the vertices of an equilateral triangle.

Show that the points in the Argand plane represented by the complex numbers -2+7i,-(3)/(2)+(1)/(2)i,4-3i,(7)/(2)(1+i) are the vertices of a rhombus.

If (z_(3)-z_(1))/(z_(2)-z_(1)) is a real number, show that the points represented by the complex numbers z_(1),z_(2),z_(3) are collinear.

In the Argrand plane, the points represented by the complex numbers 1+2i,2+3i and -4-3i form

In the Argrand plane, the points represented by the complex numbers 2-i,-4+3i and -3-2i form

The locus of a point on the argand plane represented by the complex number z, when z satisfies the condition |{:(z-1+i)/(z+1-i):}|=|Re((z-1+i)/(z+1-i))| is

Write the conjugate of the complex numbers 3+4i

AAKASH SERIES-COMPLEX NUMBERS-EXERCISE - 5.2 (VERY SHORT ANSWER QUESTIONS )
  1. If z ne0, find Arge z+Arg bar z

    Text Solution

    |

  2. If z = (1 + 2i)/(1 - (1 -i)^(2)) then find Arg z

    Text Solution

    |

  3. If z = x + iy and if the point P in the argand plane represents z , th...

    Text Solution

    |

  4. If z = x + iy and if the point P in the argand plane represents z , th...

    Text Solution

    |

  5. If z = x + iy and if the point P in the argand plane represents z , th...

    Text Solution

    |

  6. If z = x + iy and if the point P in the argand plane represents z , th...

    Text Solution

    |

  7. If z = x + iy and if the point P in the argand plane represents z , th...

    Text Solution

    |

  8. If z=(x+iy) and if the point P in the Argarand plane represent z, then...

    Text Solution

    |

  9. If z = x + iy and if the point P in the argand plane represents z , th...

    Text Solution

    |

  10. If z = x + iy and if the point P in the argand plane represents z , th...

    Text Solution

    |

  11. If a is real number such that |z-ai|=|z+ai| , then the locus of z is

    Text Solution

    |

  12. If z = x + iy and if the point P in the argand plane represents z , th...

    Text Solution

    |

  13. If z = x + iy and if the point P in the argand plane represents z , th...

    Text Solution

    |

  14. If z = x + iy and if the point P in the argand plane represents z , th...

    Text Solution

    |

  15. If z = x + iy and if the point P in the argand plane represents z , th...

    Text Solution

    |

  16. If z = x + iy and if the point P in the argand plane represents z , th...

    Text Solution

    |

  17. Show that the points in the Argand diagram represented by the complex ...

    Text Solution

    |

  18. Show that the equation of the straight line joining the points 2 - 3i ...

    Text Solution

    |

  19. Find the equation of the straight line joining the points -9 + 6i , 11...

    Text Solution

    |

  20. Find the equation of the perpendicular bisector of the segment joining...

    Text Solution

    |