Home
Class 12
MATHS
If complex number (3+2i sin x)/(1-2i sin...

If complex number `(3+2i sin x)/(1-2i sin x)` is purely imaginary then `x=` `npi+-pi/6` b. `n p+-pi/3` c.`2npi+-pi/3` d. `2npi+-pi/6`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

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

The solution of 4sin^2x+tan^2x+cos e c^2x+cot^2x-6=0i s(n in Z) (a) npi+-pi/4 (b) 2npi+-pi/4 npi+pi/3 (d) npi-pi/6

Which of the following set of values of x satisfies the equation 2^(2sin^2x-3sinx+1)+2^(2-2sin^2x+3sinx)=9? (a) x=npi+-pi/6,n in I (b) x=npi+-pi/3, n in I (c) x=npi,n in I (d) x=2npi+pi/2,n in I

If 4sin^2theta=1, then the values of theta are 2npi+-pi/3,\ n in Z b. npi+-pi/3,\ n in Z c. npi+-pi/6,\ n in Z d. 2npi+-pi/6,\ n in Z

The general value of x satisfying the equation satisfying the equation sqrt(3)sin x+cos x=sqrt(3) is given by x=npi+(-1)^npi/4+pi/3,\ n Z b. x=npi+(-1)^npi/3+pi/6,\ n Z c. x=npi+-pi/6, n Z d. x=npi+-pi/3, n Z

Which of the following is true for z=(3+2isintheta)(1-2sintheta)w h e r ei=sqrt(-1) ? (a) z is purely real for theta=npi+-pi/3,n in Z (b)z is purely imaginary for theta=npi+-pi/2,n in Z (c) z is purely real for theta=npi,n in Z (d) none of these

The general values of theta satisfying the equation 2sin^2theta-3sintheta-2=0 is (n in Z)dot npi+(-1)^npi/6 (b) npi+(-1)^npi/2 npi+(-1)^n(5pi)/6 (d) npi+(-1)^n(7pi)/6

The general solution of the following equation : 2(sinx-cos2x)-sin2x)\ (1+2sinx)+2cosx=0 is/are x=2npi\ ;\ n in I (b) npi+(-1)^n(-pi/2);\ n in I x=npi+(-1)^npi/6;\ n in I x=npi+(-1)^npi/4;\ n in I

If x+y=pi/4a n dtanx+tany=1,t h e n(n in Z) (a) sinx=0a l w a y s (b)when x=npi+pi/4t h e ny=-npi (c)when x=npit h e ny=npi+(pi/4) (d)when x=npi+pi/4t h e ny=npi-(pi/4)

The expression cos3theta+sin3theta+(2sin2theta-3)(sintheta-costheta) is positive for all theta in (2npi-(3pi)/4,2npi+pi/4),n in Z (2npi-pi/4,2npi+pi/6),n in Z (2npi-pi/3,2npi+pi/3),n in Z (2npi-pi/4,2npi+(3pi)/4),n in Z

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. ((1+sintheta+i costheta)/(1+sintheta-i costheta))^n is equal to

    Text Solution

    |

  2. If(5z2)/(7z1) is purely imaginary, then |(2z1+3z2)/(2z1-3z2)|= (A)...

    Text Solution

    |

  3. If complex number (3+2i sin x)/(1-2i sin x) is purely imaginary then ...

    Text Solution

    |

  4. Let z be a complex number having the argument theta ,0 < theta < pi/2,...

    Text Solution

    |

  5. If the area of the triangle on the complex plane formed by the points ...

    Text Solution

    |

  6. If alpha + beta + gamma = pi, then the value of the determinant |(e^...

    Text Solution

    |

  7. Let f(x)=x+1/xa n dg(x)=(x+1)/(x+2) Match the composite function give...

    Text Solution

    |

  8. If a is perpendicular to b and p is non-zero scalar such that pr+(r*b)...

    Text Solution

    |

  9. Evaluate: (sin^3x dx)/((cos^4x+3cos^2x+1)tan^(-1)(secx+cosx)

    Text Solution

    |

  10. inte^(xlna)*e^x dx

    Text Solution

    |

  11. If the line (x-2)/5=(y+10)/2=(z+3)/2 meets the curve x y=a^2,z=1, then...

    Text Solution

    |

  12. The value of the integral int(e^(5logx)-e^(4logx))/(e^(3logx)-e^(2logx...

    Text Solution

    |

  13. For any two vec aa n d vec b ,( vec axx hat i)dot( vec bxx hat i)+( v...

    Text Solution

    |

  14. Let vectors vec a , vec b , vec c ,a n d vec d be such that ( vec axx...

    Text Solution

    |

  15. Let vec a , vec b , vec c be the three unit vectors such that vec a+...

    Text Solution

    |

  16. int1/(1+sqrt(x))"dx" is equal to a. 2sqrt(x)+2ln|1+sqrt(x)|+c ...

    Text Solution

    |

  17. The sides of a parallelogram are 2 hat i+4 hat j-5 hat k and hat i+2 ...

    Text Solution

    |

  18. If vectors vec A B=-3 hat i+4 hat ka n d vec A C=5 hat i-2 hat j+4 ha...

    Text Solution

    |

  19. If f^(prime)(1)=-2sqrt(2)a n dg^(prime)(sqrt(2))=4 , then the derivati...

    Text Solution

    |

  20. int0^pi||sinx|-|cosx||dx is equal to (a)tan((3pi)/8) (b) tan(pi/8) ...

    Text Solution

    |