Home
Class 11
MATHS
In argand plane the complex no. ((1+2i)/...

In argand plane the complex no. `((1+2i)/(1+i))` lies in

A

ist quadrant

B

2nd quadrant

C

3rd quadrant

D

4th quadrant

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBER

    PATHFINDER|Exercise QUESTION BANK|224 Videos

  • CONIC SECTION

    PATHFINDER|Exercise QUESTION BANK|25 Videos

Similar Questions

Explore conceptually related problems

Show that in argand plane the complex number (1+4i),(2+7i)and (3+10i) are collinear.

The modulus of complex no. (1+i)/(1-i) is

Find the modulus and argument of the complex number (1+2i)/(1-3i)

Express the complex nos (1+7i)/(2-i)^2 in polar form

If in argand plane the vertices A,B,C of an isoceles triangle are represented by the complex nos z_1 ,z_2, z_3 respectively where angleC=90^@ then show that (z_1-z_2)^2=2(z_1-z_3)(z_3-z_2)

Consider the region R in the Argand plane described by the complex number. Z satisfying the inequalities |Z-2| le |Z-4| , |Z-3| le |Z+3| , |Z-i| le |Z-3i| , |Z+i| le |Z+3i| Answer the followin questions : Minimum of |Z_(1)-Z_(2)| given that Z_(1) , Z_(2) are any two complex numbers lying in the region R is

The reflection of the complex number (2-i)/(3+i) where (i=sqrt(-1) in the straight line z(1+i)=barz(i-1) is

Find the principal argument of the complex number ((1+i)^5(1+sqrt(3i))^2)/(-2i(-sqrt(3)+i))

Find the modulus, argument, and the principal argument of the complex numbers. (i-1)/(i(1-cos((2pi)/5))+sin((2pi)/5)

PATHFINDER-COMPLEX NUMBERS-QUESTION BANK
  1. If z=3i then the value of zbarz is

    Text Solution

    |

  2. If (x+iy)(1+i)=2 then

    Text Solution

    |

  3. In argand plane the complex no. ((1+2i)/(1+i)) lies in

    Text Solution

    |

  4. If the complex nos (sinx+icos2x)and (cosx-isin2x) are conjugate to eac...

    Text Solution

    |

  5. If iz^3+z^2-z+i=0 then the value of abs(z) is

    Text Solution

    |

  6. The value of ((1+sqrt(-3))/2)^6+((1-sqrt(-3))/2)^9 is

    Text Solution

    |

  7. The number of complex no z such that abs(z-1)=abs(z-3)=abs(z-i) is

    Text Solution

    |

  8. The complex no z=x+iy satisfying the condition amp((z-i)/(z+i))=pi/4 l...

    Text Solution

    |

  9. If z1 and z2 are two complex no. st abs(z1+z2) =abs(z1)+abs(z2) then

    Text Solution

    |

  10. Let z1 and z2 are two complex nos s.t. abs(z1) =abs(z2)=1 then abs((z1...

    Text Solution

    |

  11. The product of all the values of (1+isqrt3)^(3/4) is equal to

    Text Solution

    |

  12. The value of (1-i)^(-2)-(1+i)^(-2) is

    Text Solution

    |

  13. If p,q,r three complex nos. so that p+q+r =0 and abs(p)=abs(q)=absr=1 ...

    Text Solution

    |

  14. The modulus of (x-iy)^2 is

    Text Solution

    |

  15. If 2i^2+6i^3+3i^(16)-6i^(19)+4i^(25)=x+iy, then

    Text Solution

    |

  16. The value of (cos(pi/10)+isin(pi/10))(cos((2pi)/10)+isin((2pi)/10))...

    Text Solution

    |

  17. If (a+i)^2/(2a-1)=p+iq then find the values of (p^2+q^2)

    Text Solution

    |

  18. If omega and omega^2 be the imaginary cube roots of unity then find th...

    Text Solution

    |

  19. Value of i^(n)+i^(n+1)+i^(n+2)+i^(n+3)("when" i=sqrt(-1))-

    Text Solution

    |

  20. If (1+i)(2+i)(3+i)………(n+i)=a+ib then show that 2.5.10……….(n^2+1)=a^2+...

    Text Solution

    |