Home
Class 12
MATHS
If a = cos theta + isin theta , then f...

If ` a = cos theta + isin theta ` , then find the value of `(1 +a)/(1-a)`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise LEVEL - 1|90 Videos

  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise LEVEL - 2|50 Videos

  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|68 Videos

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos

Similar Questions

Explore conceptually related problems

If a = cos theta +theta i sin, "then find the value of" (1+a)/(1-a) .

If a cos theta-b sin theta = c, then find the value of a sin theta + b cos theta.

If z = 1 -cos theta+ isin theta then |z| is equal to

If 3 sin theta + 4 cos theta=5 , then find the value of 4 sin theta-3 cos theta .

If sin theta_1 + sintheta_2 + sin theta_3 = 3 then find the value of cos theta_1 + cos theta_2 + cos theta_3.

If cos theta= -1/2 and pi < theta < (3pi)/2 then find the value of 4tan^2 theta- 3cosec^2 theta

If cosec theta .cos (theta + 54 ^(@)) = 1, find the value of theta

Given : 4 sintheta = 3 cos theta , find the value of: cos theta

If cos theta > sin theta > 0, then evaluate : int{log((1+sin2theta)/(1-sin2theta))^(cos^(2) theta)+log((cos2theta)/(1+sin2theta))} d theta

Statement I If 2 cos theta + sin theta=1(theta != (pi)/(2)) then the value of 7 cos theta + 6 sin theta is 2. Statement II If cos 2theta-sin theta=1/2, 0 lt theta lt pi/2 , then sin theta+cos 6 theta = 0 .

VMC MODULES ENGLISH-COMPLEX NUMBERS -JEE ARCHIVE
  1. If a = cos theta + isin theta , then find the value of (1 +a)/(1-a).

    Text Solution

    |

  2. A complex number z is said to be unimodular if abs(z)=1. Suppose z(1) ...

    Text Solution

    |

  3. If z is a complex number such that |z|geq2 , then the minimum value...

    Text Solution

    |

  4. Let complex numbers alpha and 1/alpha lies on circle (x-x0)^2+(y-y0)^2...

    Text Solution

    |

  5. Let z be a complex number such that the imaginary part of z is nonz...

    Text Solution

    |

  6. Let z = x + iy be a complex number where x and y are integers. Then...

    Text Solution

    |

  7. If |z|=1a n dz!=+-1, then all the values of z/(1-z^2) lie on a line no...

    Text Solution

    |

  8. If w=alpha+ibeta, where beta!=0 and z!=1 , satisfies the condition tha...

    Text Solution

    |

  9. If |z|=1 and w=(z-1)/(z+1) (where z!=-1), then R e(w) is 0 (b) 1/(|...

    Text Solution

    |

  10. about to only mathematics

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. Let S=S1 nn S2 nn S3, where s1={z in C :|z|<4}, S2={z in C :ln[(z-...

    Text Solution

    |

  13. Let S=S1 nn S2 nn S3, where s1={z in C :|z|<4}, S2={z in C :ln[(z-...

    Text Solution

    |

  14. Let A,B and C be three sets of complex numbers as defined below: {:(,A...

    Text Solution

    |

  15. Let A,B and C be three sets of complex numbers as defined below: {:(,A...

    Text Solution

    |

  16. Let A,B and C be three sets of complex numbers as defined below: {:(,A...

    Text Solution

    |

  17. about to only mathematics

    Text Solution

    |

  18. If z is complex number of unit modulus and argument theta then arg ...

    Text Solution

    |

  19. Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+tz(2...

    Text Solution

    |

  20. A particle P starts from the point z0=1+2i , where i=sqrt(-1) . It mov...

    Text Solution

    |

  21. A man walks a distance of 3 units from the origin towards the North-...

    Text Solution

    |