Home
Class 11
MATHS
If the complex nos (sinx+icos2x)and (cos...

If the complex nos (sinx+icos2x)and (cosx-isin2x) are conjugate to each other then the value of x is

A

0

B

`(pi/2)`

C

`pi`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBER

    PATHFINDER|Exercise QUESTION BANK|224 Videos

  • CONIC SECTION

    PATHFINDER|Exercise QUESTION BANK|25 Videos

Similar Questions

Explore conceptually related problems

For what value of x, The complex number sinx+icos2x and cosx-isin2x are conjugate to each other.

sinx + cosx = (cos2x)/(1-sin2x)

If x, y real and (x-3i) and (-2+iy) are conjugate of each other, find x and y.

Find real value of x and y for which the complex numbers -3+i x^2y and x^2+y+4i are conjugate of each other.

The real values of x and y for which the complex numbers 9y^(2)-4- 10 x i and 8y^(2) +20i^(7) are conjugate to each other are-

cosx + sinx = cos2x + sin2x

If x,y are real and (y^(2)x-5i) and {4+i(x+y^(2))} are conjugate to each other find x and y

cot2x = cosx + sinx

Solve: sinx-sin2x=cos2x-cosx

sinx + cosx = sqrt(2) cos2x

PATHFINDER-COMPLEX NUMBERS-QUESTION BANK
  1. If (x+iy)(1+i)=2 then

    Text Solution

    |

  2. In argand plane the complex no. ((1+2i)/(1+i)) lies in

    Text Solution

    |

  3. If the complex nos (sinx+icos2x)and (cosx-isin2x) are conjugate to eac...

    Text Solution

    |

  4. If iz^3+z^2-z+i=0 then the value of abs(z) is

    Text Solution

    |

  5. The value of ((1+sqrt(-3))/2)^6+((1-sqrt(-3))/2)^9 is

    Text Solution

    |

  6. The number of complex no z such that abs(z-1)=abs(z-3)=abs(z-i) is

    Text Solution

    |

  7. The complex no z=x+iy satisfying the condition amp((z-i)/(z+i))=pi/4 l...

    Text Solution

    |

  8. If z1 and z2 are two complex no. st abs(z1+z2) =abs(z1)+abs(z2) then

    Text Solution

    |

  9. Let z1 and z2 are two complex nos s.t. abs(z1) =abs(z2)=1 then abs((z1...

    Text Solution

    |

  10. The product of all the values of (1+isqrt3)^(3/4) is equal to

    Text Solution

    |

  11. The value of (1-i)^(-2)-(1+i)^(-2) is

    Text Solution

    |

  12. If p,q,r three complex nos. so that p+q+r =0 and abs(p)=abs(q)=absr=1 ...

    Text Solution

    |

  13. The modulus of (x-iy)^2 is

    Text Solution

    |

  14. If 2i^2+6i^3+3i^(16)-6i^(19)+4i^(25)=x+iy, then

    Text Solution

    |

  15. The value of (cos(pi/10)+isin(pi/10))(cos((2pi)/10)+isin((2pi)/10))...

    Text Solution

    |

  16. If (a+i)^2/(2a-1)=p+iq then find the values of (p^2+q^2)

    Text Solution

    |

  17. If omega and omega^2 be the imaginary cube roots of unity then find th...

    Text Solution

    |

  18. Value of i^(n)+i^(n+1)+i^(n+2)+i^(n+3)("when" i=sqrt(-1))-

    Text Solution

    |

  19. If (1+i)(2+i)(3+i)………(n+i)=a+ib then show that 2.5.10……….(n^2+1)=a^2+...

    Text Solution

    |

  20. Find the least possible integral value of n so that ((1+i)/(1-i))^n' i...

    Text Solution

    |