Home
Class 12
MATHS
The point represented by 2+i in the Arga...

The point represented by `2+i` in the Argand plane moves 1 unit eastwards, then 2-units northwards and finally from there `2sqrt(2)` units in the south-westwards direction. Then its new position in the Argand plane is at the point represented by

A

1 + i

B

2 + 2i

C

`-2-2i`

D

`-1-i`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos
  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise EXERCISE NUMERICAL ANSWER TYPE QUESTIONS|20 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos
  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|18 Videos

Similar Questions

Explore conceptually related problems

[JEE (Main)-2016] 39a, The point represented by 2 + i in the Argand plane moves 1 unit eastwards, then 2 units northwards and finally from there 2/2 units in the south-westwards direction. Then its new position in the Argand plane is at the point represented by (4)-2-2i

Represent the modulus of 1+I, in the Argand plane.

the points in the argand plane 9+i,4+13i,-8+8i-3-4i represents

If z^4= (z-1)^4 then the roots are represented in the Argand plane by the points that are

If z is a comlex number in the argand plane, the equation |z-2|+|z+2|=8 represents

MCGROW HILL PUBLICATION-COMPLEX NUMBERS -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. If Z is a non-real complex number, then find the minimum value of (Imz...

    Text Solution

    |

  2. A value of for which (2+3isintheta)/(1-2isintheta) purely imaginary, ...

    Text Solution

    |

  3. The point represented by 2+i in the Argand plane moves 1 unit eastward...

    Text Solution

    |

  4. Let z=1+ai be a complex number, a > 0,such that z^3 is a real number....

    Text Solution

    |

  5. Let zinC, the set of complex numbers. Thenthe equation, 2|z +3i| - |z...

    Text Solution

    |

  6. The equation I m((i z-2)/(z-i))+1=0, z & epsi; C , z!=i represents a ...

    Text Solution

    |

  7. If alpha, beta in C are the distinct roots of the equation x^(2)-x+1=0...

    Text Solution

    |

  8. The set of all alpha in R for which w = (1+(1-8 alpha)z)/(1-z)is a pur...

    Text Solution

    |

  9. If |z - 3+ 2i| leq 4, (where i = sqrt-1) then the difference of grea...

    Text Solution

    |

  10. The least positive integer n for which ((1+sqrt(3)i)/(1-sqrt(3)i))^(n)...

    Text Solution

    |

  11. Let A={theta in (-pi /2,pi):(3+2i sin theta )/(1-2 sin theta ) is pure...

    Text Solution

    |

  12. Let Z0 is the root of equation x^2+x+1=0 and Z=3+6i(Z0)^(81)-3i(Z0)^(9...

    Text Solution

    |

  13. Let z(1) and z(2) be any two non-zero complex numbers such that 3|z(1)...

    Text Solution

    |

  14. If z=(sqrt3/2+i/2)^5+(sqrt3/2-i/2)^5, then

    Text Solution

    |

  15. If x,y are real and (-2-i/3)^3=(x+iy)/27 then value of y-x is equal to...

    Text Solution

    |

  16. Let (z-alpha)/(z+alpha) is purely imaginary and |z|=2, alphaepsilonR t...

    Text Solution

    |

  17. Let Z(1) and Z(2) be two complex numbers satisfying |Z(1)|=9 and |Z(2)...

    Text Solution

    |

  18. If alpha and beta be the roots of the equation x^(2)-2x+2=0, then the ...

    Text Solution

    |

  19. if z = (sqrt 3 ) /(2) + (i)/(2) ( i=sqrt ( -1) ), then ( 1 + ...

    Text Solution

    |

  20. All the points in the set S={(alpha+i)/(alpha-i):alpha in R } (i= sqrt...

    Text Solution

    |