Home
Class 11
MATHS
For what value of x, The complex number ...

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

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise All Questions|363 Videos

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|1167 Videos

Similar Questions

Explore conceptually related problems

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

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.

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

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

cot2x = cosx + sinx

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

sinx + cosx = sqrt(2) cos2x

For what values of x is the function f(x)=(sinx)/(cosx-sinx) not defined ?

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

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If omega is a complex cube root of unity and (1+omega)^7=A+Bomega then...

    Text Solution

    |

  2. Solve (x^3-4x)sqrt(x^2-1)=0.

    Text Solution

    |

  3. For what value of x, The complex number sinx+icos2x and cosx-isin2x ar...

    Text Solution

    |

  4. Solve (2x-3)/(x-1)+1=(9x-x^2-6)/(x-1)dot

    Text Solution

    |

  5. The points, z1,z2,z3,z4, in the complex plane are the vertices of a pa...

    Text Solution

    |

  6. Using differentiation method check how many roots of the equation x^3-...

    Text Solution

    |

  7. z=x+iy and w=(1-iz)/(1+iz) and |w|=1 ,prove that z is purely real

    Text Solution

    |

  8. Let ...

    Text Solution

    |

  9. |z-4| < |z-2| represents the region given by: (a) Re(z) > 0 (b) Re...

    Text Solution

    |

  10. Draw the graph of y=x^(4)+2x^(2)-8x+3 Find the number of real roots ...

    Text Solution

    |

  11. If z=[(sqrt(3)/2)+i/2]^5+[((sqrt(3))/2)-i/2]^5 , then a. R e(z)=0 ...

    Text Solution

    |

  12. How many real solutions does the equation x^7+14x^5+16x^3+30x-560=0 h...

    Text Solution

    |

  13. The complex numbers z=x+iy which satisfy the equation |(z-5i)/(z+5i)|=...

    Text Solution

    |

  14. Solve sqrt(3x^2-7x-30)-sqrt(2x^2-7x-5)=x-5.

    Text Solution

    |

  15. The smallest positive integer n for which ((1+i)/(1-i))^n=1 is (a)8...

    Text Solution

    |

  16. Solve sqrt(3x^2-7x-30)-sqrt(2x^2-7x-5)=x-5.

    Text Solution

    |

  17. If the cube roots of unity are 1,omega,omega^2, then the roots of the ...

    Text Solution

    |

  18. If x= (7+4sqrt(3)), prove that x+1//x= 14

    Text Solution

    |

  19. Prove that the locus of midpoint of line segment intercepted between ...

    Text Solution

    |

  20. Solve sqrt(5x^2-6x+8)+sqrt(5x^2-6x-7)=1.

    Text Solution

    |