Home
Class 12
MATHS
Find the real values of theta , such tha...

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

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise ADDITIONAL SOLVED EXAMPLES|7 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise EXERCISE - 5.1(VERY SHORT ANSWER QUESTIONS)|43 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

  • CIRCLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|164 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise (Level-2)|38 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 real theta such that (3+2i sin theta)/(1-2i sin theta) is purely real.

If (2 + 3 isin theta)/(1- 2isin theta) is purely imaginary , then cos^(2) theta =

Find the value of (sin^4 theta - cos^4 theta)/(sin^2 theta - cos^2 theta)

(cos theta + sin theta )^(2) + (cos theta - sin theta )^(2) =

Find the extreme values of cos^(2) theta - sin^(2) theta

The general value of theta satisfying the equation 2sin^(2)theta-3 sin theta-2=0 is (n in Z)

The value of (cos2 theta + i sin 2 theta)^5(sin theta+i cos theta)^4 is

AAKASH SERIES-COMPLEX NUMBERS-SOLVED EXAMPLES
  1. Simplifiy i^(2)+i^(4)+i^(6)+.....+(2n+1) terms

    Text Solution

    |

  2. Show that the least positive integral value of n for which ((1+i)/(1 -...

    Text Solution

    |

  3. If ((1+i)/(1 -i)) - ((1 - i)/(1 +i)) = x +iy find x and y .

    Text Solution

    |

  4. Show that sum(n=1)^(25) (i^(n) + i^(n +1)) = i-1

    Text Solution

    |

  5. Show that (2-i)/((1-2i)^(2)) and ((-2-11 i)/(25)) are conjugate to eac...

    Text Solution

    |

  6. Find the real values of theta , such that (3 + 2i sin theta)/(1 - 2i s...

    Text Solution

    |

  7. Find the real values of theta , such that (3 + 2i sin theta)/(1 - 2i s...

    Text Solution

    |

  8. If (sqrt(3)i)^(100)=2^(99)(a+ib). Then shot that a^(2)+b^(2)=4

    Text Solution

    |

  9. If z1, z2, z3 are complex numbers such that absz1 = absz2 = absz3 = ab...

    Text Solution

    |

  10. Area of the triangle formed by the Argrand diagram formed by the compl...

    Text Solution

    |

  11. If z(z), z(2) are two non-zero complex numbers satisfying |z(2)+z(2)|=...

    Text Solution

    |

  12. If z = x + iy and if the point P in the argand plane represents z then...

    Text Solution

    |

  13. If z = x + iy and if the point P in the argand plane represents z then...

    Text Solution

    |

  14. Show that the locus of z = x + iy such that the amplitude of (z -1)/(z...

    Text Solution

    |

  15. Reduce the complex numbers 3 + 4i, 3/2 (7 +i) (1+i), (2(i-18))/((1 + i...

    Text Solution

    |

  16. If (z(3)-z(1))/(z(2)-z(1)) is a real number, show that the points repr...

    Text Solution

    |

  17. Describe geometrically the following subsets of C : {z inC |z-1 + i|...

    Text Solution

    |

  18. Describe geometrically the following subsets of C : {z in C |z +i|le...

    Text Solution

    |