Home
Class 11
MATHS
In the Argand diagram. if O, P and Q rep...

In the Argand diagram. if O, P and Q represent respectively the origin and the complex numbers z and z+iz, then the angle `angle OPQ` is :

A

`pi/4`

B

`pi/3`

C

`pi/2`

D

`(2pi)/3`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE|289 Videos
  • LIMITS AND DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE|334 Videos
  • MATHEMATICAL INDUCTION

    MODERN PUBLICATION|Exercise EXERCISE|85 Videos

Similar Questions

Explore conceptually related problems

In the adjoining find the measures of angle x, angle y, angle z

Express in the form of complex number if z=i^(-39)

If P is a point in the Argand diagram corresponding to the complex number sqrt3 +i and if OPQ is an isosceles right angled triangle, right angled at 'O’, then Q represents the complex number :

Represent the complex number z=1+sqrt3i in the polar form.

For any complex number z, the minimum value of |z|+|z-1| is :

If z is a complex number such that |z|geq2 , then the minimum value of |z+1/2|

In the adjoining find the measure of anglex, angle y, angle z.

If |z|=2, the points representing the complex numbers -1+5z will lie on

For any complex number z, prove that : -|z| leR_e (z) le |z| .

For any complex number z, prove that : -|z| leI_m (z) le |z| .

MODERN PUBLICATION-LINEAR INEQUATIONS-EXERCISE
  1. If ((1+i)/(1-i))^n =1, then the smallest value of n is :

    Text Solution

    |

  2. Which of the following is correct ?

    Text Solution

    |

  3. In the Argand diagram. if O, P and Q represent respectively the origin...

    Text Solution

    |

  4. The area of the triangle with vertices affixed at z, iz, z(1 +i) is:

    Text Solution

    |

  5. Multiplication of a complex z by i corresponds to :

    Text Solution

    |

  6. If (c+i)/(c-i)= a+ ib, where a, b, c are real, then a^2+ b^2 equals :

    Text Solution

    |

  7. If i^2=-1, then the value of overset (200) underset (n=1) (sum) i^n is...

    Text Solution

    |

  8. If the conjugate of (x + iy) (1-2i) be 1+i, then :

    Text Solution

    |

  9. Mathematical Induction shows that the inequality log (n!) >n/2 holds :

    Text Solution

    |

  10. The inequality n ! > 2^(n-1) is true:

    Text Solution

    |

  11. The number of solutions of the equation z^2+ bar z=0 is :

    Text Solution

    |

  12. If alpha, beta are the roots fo the equation lamda(x^(2)-x)+x+55=0. If...

    Text Solution

    |

  13. The modulus of (1-i)/(3+i)+(4i)/5 is :

    Text Solution

    |

  14. For any complex number z, the minimum value of |z|+|z-1| is :

    Text Solution

    |

  15. If alpha, beta are the roots of x^2-a(x-1)+b=0, then the value of 1/(a...

    Text Solution

    |

  16. The sum of all real roots of the equation |x-2|^(2)+|x-2|-2=0 is

    Text Solution

    |

  17. The quadratic equation whose roots are three times the roots of 3ax^2 ...

    Text Solution

    |

  18. If a, b, c are real, then both the roots of the equation : (x- b) (x-c...

    Text Solution

    |

  19. If x satisfies the inequations 2x- 7 < 11, 3x+4< -5, then x lies in th...

    Text Solution

    |

  20. The set of all real x satisfying the inequality (3-|x|)/(4-|x|) ge0 is...

    Text Solution

    |