Home
Class 12
MATHS
The real value of theta for which the ex...

The real value of `theta` for which the expression `(1 -isin theta)/(1 + 2 isin theta)` is a real number is

A

`theta=npi`

B

`theta=npi//2`

C

`theta=npi//3`

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 1)|6 Videos

  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 2)|6 Videos

  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Set 4|4 Videos

  • COORDINATE SYSTEM (2D)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|12 Videos

Similar Questions

Explore conceptually related problems

Find the real values of theta , such that (3 + 2i sin theta)/(1 - 2i sin theta) is purely Real

Find the real values of theta , such that (3 + 2i sin theta)/(1 - 2i sin theta) is purely Imaginary

If (3+2isintheta)/(3-2isintheta) is real , then theta =

The maximum value of the expression (1)/( sin^(2) theta + 3 sin theta cos theta + 5cos^(2) theta) is

Find real theta such that (3+2i sin theta)/(1-2i sin theta) is purely real.

If theta is real then the modulus of (1)/(1 + cos theta + isin theta) is

Which value of theta listed below leads to 2^(sin theta)gt1 and 3 cos (theta) lt 1 ?

DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
  1. sum(n=0)^oo((2i)/(3))^n=

    Text Solution

    |

  2. If (a1+ib1)(a2+ib2)......(an+ibn)=A+iB, "then "Tan^(-1)(b1/a1)+Tan^(-1...

    Text Solution

    |

  3. The real value of theta for which the expression (1 -isin theta)/(1 + ...

    Text Solution

    |

  4. If (1-sintheta)/(1+2isintheta) is purely imaginary then theta=

    Text Solution

    |

  5. If (3+2isintheta)/(3-2isintheta) is real , then theta =

    Text Solution

    |

  6. A value of theta for which (2+3isintheta)/(1-2isintheta) is purely ima...

    Text Solution

    |

  7. If (tanalpha-i[sin(alpha//2)+cos(alpha//2)])/(1+2isin(alpha//2)) is pu...

    Text Solution

    |

  8. Find the general value of x if the expression (sin ""(x)/(2) + cos"" (...

    Text Solution

    |

  9. The principal value of the argument -sqrt(3)+i is

    Text Solution

    |

  10. The amplitude of 1+costheta+isintheta is

    Text Solution

    |

  11. The amplitude of (1+sqrt(3)i)/(sqrt(3)+i) is

    Text Solution

    |

  12. If pi//5 and pi//3 are the arguments of barz1 and z2 then the value of...

    Text Solution

    |

  13. If pi//3 and pi//4 are the arguments of z1 and barz2 then the value of...

    Text Solution

    |

  14. If 2pi//3 and pi//6 are the arguments of barz1 and z2 then value of ar...

    Text Solution

    |

  15. z=1+isqrt(3)rArr|Arg z|+|Argbarz|=

    Text Solution

    |

  16. If z1 and z2 are two non - zero complex numbers such that |z1+z2|=|z1|...

    Text Solution

    |

  17. If z1 and z2 are two non - zero complex numbers such that |z1+z2|=|z1-...

    Text Solution

    |

  18. If z is a complex number of unit modulus and argument theta then, arg ...

    Text Solution

    |

  19. Let z,w be complex number such that barz+ibarw=0 and arg zw =pi . Then...

    Text Solution

    |

  20. If z and omega are two nonzero complex numbers such that |zomega|=1 an...

    Text Solution

    |