Home
Class 11
MATHS
Find z ,\ if\ |z|=4\ and \ arg(z)=(5pi)/...

Find `z ,\ if\ |z|=4\ and \ arg(z)=(5pi)/6` where `z` represents a complex number. .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMBINATIONS

    RD SHARMA ENGLISH|Exercise All Questions|117 Videos
  • DERIVATIVES

    RD SHARMA ENGLISH|Exercise All Questions|230 Videos

Similar Questions

Explore conceptually related problems

Find the value of z, if |z |= 4 and arg (z) = (5pi)/(6) .

Solve |z|+z= 2+ i , where z is a complex number

If |z|=2 and arg (z)=pi/4 , find z .

if arg(z+a)=pi/6 and arg(z-a)=(2pi)/3 then

If arg z = pi/4 ,then

Solve the equation z^2 +|z|=0 , where z is a complex number.

If a complex number z satisfies |z| = 1 and arg(z-1) = (2pi)/(3) , then ( omega is complex imaginary number)

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

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

Complex numbers z satisfy the equaiton |z-(4//z)|=2 The value of arg(z_(1)//z_(2)) where z_(1) and z_(2) are complex numbers with the greatest and the least moduli, can be

RD SHARMA ENGLISH-COMPLEX NUMBERS-All Questions
  1. Write the argument of idot

    Text Solution

    |

  2. Find the principal argument of (1+isqrt(3))^2dot

    Text Solution

    |

  3. Find z ,\ if\ |z|=4\ and \ arg(z)=(5pi)/6 where z represents a complex...

    Text Solution

    |

  4. Write the value of sqrt(-25)xxsqrt(-9)dot

    Text Solution

    |

  5. Write the value of a r g(z)+a r g( barz ) .

    Text Solution

    |

  6. If |z+4|lt=3 then find the greatest and least values of |z+1|dot

    Text Solution

    |

  7. For any two complex numbers z1\ a n d\ z2 and any two real numbers a ,...

    Text Solution

    |

  8. If n in NN ,then find the value of i^n+i^(n+1)+i^(n+2)+i^(n+3).

    Text Solution

    |

  9. Find the real value of a for which 3i^3-2a i^2+(1-a)i+5 is real.

    Text Solution

    |

  10. If |z|=2 and arg (z)=pi/4 , find z.

    Text Solution

    |

  11. Write the argument of (1+isqrt(3))(1+i)(costheta+isintheta).

    Text Solution

    |

  12. The value of (1+i)(1+i^2)(1+i^3)(1+i^4) is a. 2 b. 0 c. 1 d. i

    Text Solution

    |

  13. If (3+2i sintheta)/(1-2i sintheta) is a real number and 0lt theta lt 2...

    Text Solution

    |

  14. If sqrt(a+i b)=x+i y ,\ then possible value of sqrt(a-i b) is a. x^2+...

    Text Solution

    |

  15. If z=cos(pi/4)+isin(pi/6) , then a. |z|=1, arg(z)=\ pi/4 b. |z|=1, arg...

    Text Solution

    |

  16. The polar form of (i^(25))^3 is a. cos(pi/2)+isin(pi/2) b. cospi+i\ si...

    Text Solution

    |

  17. If i^2=-1, then the sum i+i^2+i^3+... upto 1000 terms is equal to a. 1...

    Text Solution

    |

  18. If z=(-2)/(1+isqrt(3)) , then the value of "arg"(z) is a. pi b. pi/4 c...

    Text Solution

    |

  19. If a=costheta+isintheta, then (1+a)/(1-a) is: (a). cot(theta/2) (b). ...

    Text Solution

    |

  20. If (1+i)(1+2i)(1+3i)...(1+n i)=a+i b , then the value of; 2. 5. 10. 17...

    Text Solution

    |