Home
Class 12
MATHS
A man walks a distance of 3 units from t...

A man walks a distance of 3 units from the origin towards the North-East `(N45^0E)` direction.From there, he walks a distance of 4 units towards the North-West `(N45^0W)` direction to reach a point `Pdot` Then, the position of `P` in the Argand plane is `3e^((ipi)/4)+4i` (b) `(3-4i)e^((ipi)/4)` `(4+3i)e^((ipi)/4)` (d) `(3+4i)e^((ipi)/4)`

A

`3 e^(ipi//4) + 4i`

B

`(3 - 4i)e^(ipi//4)`

C

`(4 + 3i)e^(ipi//4)`

D

`(3 +4i)e^(ipi//4)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ML KHANNA|Exercise Problem Set (4) (True and False)|4 Videos

  • COMPLEX NUMBERS

    ML KHANNA|Exercise Problem Set (4) (fill in the blanks )|2 Videos

  • COMPLEX NUMBERS

    ML KHANNA|Exercise Problem Set (3) Fill in the blanks |5 Videos

  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise SELF ASSIGNMENT TEST |11 Videos

  • CONCEPTS OF SET THEORY

    ML KHANNA|Exercise Self Assessment Test|13 Videos

Similar Questions

Explore conceptually related problems

A man walks a distance of 3 units from the origin towards north-east to reach position A. from there he walks a distance of 4 units towards North west to reach position P.Then position of P in argand plane is

Represent the modulus of 3+4i in the Argand plane.

In the Cartesian plane, a man starts at origin and walks a distance of 3 units of the north-east direction and reaches a point P. from P, he walks a distance of 4 units in the north-west direction to reach a point Q. construct the parallelogram OPQR with OP and PQ as adjacent sides. let M be the mid-point of PQ.

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

The distance of the point P(4,3) from the origin is 4 (b) 3(c)5(d)7

Kunal walks 10 km towards North, From there, he walks 6 km towards South. Then, he walks 3 km towards East. How far and in which direction is he with reference to his starting point?

A body travel a distance of 3 km towards East, then 4 km towards North and finally 9 km towards East. (i) What is the total distance travelled ? (ii) What is the resultant displacement ?

(i)e^(4x)" "(ii)e^(-5x)" "e^(x^(3))

A man walks 3 km North and then 4 km East. Find how far he is now, from the starting position.

If e^(i theta)=cos theta+i sin theta, find the value of |1e^(i pi/3)e^(i pi/4)e^(-i pi/3)1e^(i2 pi/3)e^(-i pi/4)e^(-i2 pi/3)1|

ML KHANNA-COMPLEX NUMBERS -Problem Set (4) M.C.Q
  1. The roots of the equation 1+z+z^3+z^4=0 are represented by the vertice...

    Text Solution

    |

  2. If the area of the triangle on the complex plane formed by the points ...

    Text Solution

    |

  3. If the area of the triangle on the complex plane formed by complex num...

    Text Solution

    |

  4. The area of the triangle (in square units) whose vertices are i, omega...

    Text Solution

    |

  5. If the points represented by complex numbers z(1)=a+ib, z(2)=c+id " an...

    Text Solution

    |

  6. If z(1)=1+2i, z(2)=2+3i, z(3)=3+4i, then z(1),z(2) and z(3) represent ...

    Text Solution

    |

  7. If |z(1)|=|z(2)|=|z(3)| and z(1)+z(2)+z(3)=0, then z(1),z(2),z(3) are ...

    Text Solution

    |

  8. The triangle with vertices at the point z1z2,(1-i)z1+i z2 is

    Text Solution

    |

  9. Prove that the triangle formed by the points 1,(1+i)/(sqrt(2)),a n di ...

    Text Solution

    |

  10. Q. Let z1 and z2 be nth roots of unity which subtend a right angle at...

    Text Solution

    |

  11. If the points z(1),z(2),z(3) are the vertices of an equilateral triang...

    Text Solution

    |

  12. If z(1),z(2) are vertices of an equilateral triangle with z(0) its cen...

    Text Solution

    |

  13. The roots of the equation t^3+3a t^2+3b t+c=0a r ez1, z2, z3 which rep...

    Text Solution

    |

  14. If a and b are real numbers between 0 and 1 such that the points z(1...

    Text Solution

    |

  15. The centre of a square is at the origin and 1 + i is one of its verti...

    Text Solution

    |

  16. The points 1 + i, 1 - i, - 1 + i and - 1 - i are

    Text Solution

    |

  17. If one vertex of a square whose diagonals intersect at the origin is 3...

    Text Solution

    |

  18. If z(1) and overline(z)(1) represent adjacent vertices of a regular po...

    Text Solution

    |

  19. A man walks a distance of 3 units from the origin towards the North...

    Text Solution

    |

  20. A particle P starts from the point z0=1+2i , where i=sqrt(-1) . It mov...

    Text Solution

    |