Home
Class 12
MATHS
Find the real values of theta when (3+2 ...

Find the real values of `theta` when `(3+2 i sin theta)/(1-2i sin theta)` will be
purely imaginary.

Text Solution

Verified by Experts

The correct Answer is:
`npi+(-1) ^(n)(+-(pi)/(3))`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)|124 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (THREE DIMENSIONAL COORDINATE GEOMETRY)|10 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise TRIGONOMETRY|148 Videos

  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos

  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

Find the real values of theta when (3+2 i sin theta)/(1-2i sin theta) will be purely real

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

Find the value of theta for which sin theta sin(theta - pi/3 ) is maximum.

Number of values of theta which satisfy sin^2theta-2sin^2theta-1=0 is

Find the general values of theta which satisfy 2costheta +1=0 and 2sin theta - sqrt(3)=0

Let A={theta in (-pi /2,pi):(3+2i sin theta )/(1-2 i sin theta ) is purely imaginary } Then the sum of the elements in A is

Show that, for all real values of theta the function (2 sin theta+ cos theta)/(3 sin theta+ 4 cos theta) is increasing.

Find the general value of theta satisfying both sin theta=(-1/2) and tan theta=1/sqrt3

If 0 < theta < pi , then the value of sqrt((1 - sin theta)/(1 + sin theta)) + sqrt((1 + sin theta)/(1 - sin theta)) will be-

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-ALGEBRA
  1. Solve the equation z^(2)+|Z|=0 where z is a complex quantity.

    Text Solution

    |

  2. Find the real values of theta when (3+2 i sin theta)/(1-2i sin theta) ...

    Text Solution

    |

  3. Find the real values of theta when (3+2 i sin theta)/(1-2i sin theta) ...

    Text Solution

    |

  4. Find the conjugate, modulus and amplitude of the complex number (sqrt(...

    Text Solution

    |

  5. Find the modulus -amplitude fomr of the complex number (-2sqrt(3)-2i).

    Text Solution

    |

  6. If z=x+iy, show that sqrt(2)|z| ge |x|+ |y|.

    Text Solution

    |

  7. If the modulus of the complex number a+ib (b neo) is 1, showthat the c...

    Text Solution

    |

  8. find the cube roots of i

    Text Solution

    |

  9. If z(1), z(2),z(3),are three complex numbers, prove that z(1).Im(barz...

    Text Solution

    |

  10. If omega be an imaginary cube root or unity, prove that (1)/(1+2 ome...

    Text Solution

    |

  11. If omega be an imaginary cube root or unity, prove that (x+y omega+...

    Text Solution

    |

  12. If omega be an imaginary cube root or unity, prove that (1- omega+ o...

    Text Solution

    |

  13. Prove that ((-1+sqrt(-3))/(2))^(n)+((-1-sqrt(-3))/(2))^(n) =2, when...

    Text Solution

    |

  14. If m, n and p are arbitrary integers, show that the equation x^(3m)+x^...

    Text Solution

    |

  15. The sides of a right angled triangle are in A.P. ,' show that the side...

    Text Solution

    |

  16. The sum of first p terms of an A.P. is zero. Show that the sum of a n...

    Text Solution

    |

  17. If a(1),a(2),...a(k) are in A.P. then the equation (S(m))/(S(n))=(m^...

    Text Solution

    |

  18. If f(x)=(1)/(x^(2)), show that f(x)-f(x+1)=(2m-1)/(x^(2)(x+1)^(2)), he...

    Text Solution

    |

  19. Let t(p) be the p th term of an A.P. if its n th tem is zero, show tha...

    Text Solution

    |

  20. Let a,b,c,d, be four quantities such that a+c=2 b and ab+cd+ad=3bc(b n...

    Text Solution

    |