Home
Class 12
MATHS
If -1+sqrt(- 3)=r e^(i \ theta) , then t...

If `-1+sqrt(- 3)=r e^(i \ theta)` , then `theta` is equal to

A

`2pi//3`

B

`-2pi//3`

C

`pi//3`

D

`-pi//3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise LEVEL - 2|50 Videos

  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise NUMRICAL VALUE TYPE FOR JEE MAIN|14 Videos

  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos

  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|68 Videos

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos

Similar Questions

Explore conceptually related problems

If sin^(3) theta+sin theta cos theta+ cos^(3) theta=1 , then theta is equal to (n in Z)

The value of definite integral int_((pi)/((pi)/(2)))^((2 pi)/(3))(e^(-theta/2)sqrt(1-sin theta))/(1+cos theta)d theta is equal to

If theta and 2theta-45^@ are acute angles such that sintheta=cos(2theta-45^@) , then tantheta is equal to (a) 1 (b) -1 (c) sqrt(3) (d) 1/(sqrt(3))

If ((4i^(3)-i)/(2i+1))^(2)=r(cos theta+isin theta) , then cos theta+sin theta is equal to (where, i^(2)=-1 )

If sin theta=-(1)/(2) and tan theta=(1)/sqrt(3) then theta is equal to :-

In tantheta+sec theta=sqrt3,0ltthetaltpi, then theta is equal to

If theta lies in the second quadrant. Then the value of sqrt((1-sin theta)/(1+sin theta))+sqrt((1+sin theta)/(1-sin theta)) is equal to :

If sintheta=-1/2 and tantheta=1/sqrt(3) then theta is equal to,

If alpha and beta are roots of equation 3/4"sin"((theta)/9)=sin^(3)theta+3sin^(3)((theta)/3)+9sin^(3)((theta)/9)+1/(4sqrt(2)) for 0lt theta lt (pi)/2 , then tanalpha+tanbeta is equal to

If -pi lt theta lt -(pi)/(2)," then " |sqrt((1-sin theta)/(1+sintheta))+sqrt((1+sin theta)/(1-sin theta))| is equal to :

VMC MODULES ENGLISH-COMPLEX NUMBERS -LEVEL - 1
  1. The modulus of sqrt(2i)-sqrt(-2i) is

    Text Solution

    |

  2. Convert of the complex number in the polar form: sqrt()+i

    Text Solution

    |

  3. If -1+sqrt(- 3)=r e^(i \ theta) , then theta is equal to

    Text Solution

    |

  4. The value of (sin frac(pi)(8) + i cos frac(pi)(8))^(8)/((sin frac(pi)(...

    Text Solution

    |

  5. If x=a+b,y=aomega+bomega^2 and z=aomega^2+bomega , prove that xyz=a...

    Text Solution

    |

  6. If z and w are two non-zero complex numbers such that z=-w.

    Text Solution

    |

  7. The square roots of - 2 + 2 sqrt(3)i are :

    Text Solution

    |

  8. If x=a+b,y=a alpha+b beta and z=abeta+ b alpha , where alpha and beta...

    Text Solution

    |

  9. If a = cos 2 alpha + i sin 2 alpha , b= cos 2 beta + i sin 2 beta , ...

    Text Solution

    |

  10. The complex number 2^n/(1+i)^(2n)+(1+i)^(2n)/2^n , n epsilon I is equa...

    Text Solution

    |

  11. If z1=9y^2-4-10 i x ,z2=8y^2-20 i ,w h e r ez1=( z )2, then find z=x+...

    Text Solution

    |

  12. The square roots of 7+24i are

    Text Solution

    |

  13. If omega is a complex cube root of unity then (1-omega+omega^2)(1-omeg...

    Text Solution

    |

  14. If zr=cos(pi/(3r))+isin(pi/(3r)),r=1,2,3, , prove that z1z2z3 zoo=idot

    Text Solution

    |

  15. If omega is a complex cube roots of unity, then find the value of the...

    Text Solution

    |

  16. The value of (4(cos75^(@) + isin 75^(@)))/(0.4(cos30^(@) + i sin 30^(...

    Text Solution

    |

  17. If z = cos alpha + i sin alpha then the amplitude of z^2+barz is:

    Text Solution

    |

  18. if (1+i)z=(1-i)barz then z is

    Text Solution

    |

  19. If arg ( z - 1) = arg (z + 3i), then find x - 1 : y, where z = x + iy ...

    Text Solution

    |

  20. If x^2-x+1=0 then the value of sum[n=1]^[5][x^n+1/x^n]^2 is:

    Text Solution

    |