Home
Class 12
MATHS
If p=cos2 alpha+isin2 alpha,q=cos2beta+i...

If `p=cos2 alpha+isin2 alpha,q=cos2beta+isin2beta` then `sqrt(p//q)-sqrt(q//p)=`

A

`2isin(alpha+beta)`

B

`2isin(alpha-beta)`

C

`2i cos(alpha-beta)`

D

`2icos(alpha+beta)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise EXERCISE -I|10 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise (Level-2)|38 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos

Similar Questions

Explore conceptually related problems

If p=cos2alpha+isin2alpha,q=cos2beta+isin2beta" then "sqrt(p//q)-sqrt(q//p)

If ( cos 2 alpha+ isin 2alpha)(cos 2 beta+ isin 2 beta)= cos theta+isin theta , then find the value of theta .

If (sinalpha+icosalpha)^4(cos2alpha-isin2alpha)^(-2)=costheta+isintheta," then "theta=

If a = cos2alpha+isin2alpha , b= cos2 beta + i sin2 beta, c=cos2 gamma +isin2 gamma then prove that sqrt(abc)+(1)/(sqrt(abc))=2cos (alpha + beta+ gamma)

The real part of |(cos alpha+isin alpha, cos beta+ i sin beta),(sin beta+i cos beta, sin alpha +icos alpha)| is

If (cos 3alpha+isin3alpha)(cos 5beta+isin5beta)=cos theta+isintheta " then " theta is

The angle between the lines x cos alpha + y sin alpha=p_(1) and x cos beta+y sin beta=p_(2) where alpha gt beta is

If tan(alpha-beta)=(sin 2beta)/(3-cos2beta) , then

If cos theta = cos alpha cos beta , " then " cot^(2)""(beta)/(2)=

If alpha-beta=(2n+1)(pi)/2, n epsilon Z then [(cos^(2) alpha, cos alpha sin alpha),(cos alpha sin alpha, sin^(2)alpha)][(cos^(2) beta, cos beta sin beta),(cos beta sin beta, sin^(2) beta)]=

AAKASH SERIES-DEMOIVRE'S THEOREM-EXERCISE -II
  1. Show that one value of ((1+sin""pi/8+i cos ""pi/8)/(1+sin"" pi/8-i...

    Text Solution

    |

  2. If n is a positive integer, then (a+ib)^(m//n)+(a-ib)^(m//n)

    Text Solution

    |

  3. If p=cos2 alpha+isin2 alpha,q=cos2beta+isin2beta then sqrt(p//q)-sqrt(...

    Text Solution

    |

  4. The values of (1-sqrt3i)^(1//3) are

    Text Solution

    |

  5. The product of the four values of (1/2+i(sqrt3)/(2))^(3//4) is

    Text Solution

    |

  6. Two of the three values of (-1)^(1//3) are cos(pi//3)+isin(pi//3),cos(...

    Text Solution

    |

  7. One value of (1+i)^(1//2) is 2^(1//4)e^(ipi//8).The other value is

    Text Solution

    |

  8. If z+1/z=1 and z be any complex number,then the value of z^(99)+(1)/(z...

    Text Solution

    |

  9. If (sqrt3-i)^n=2^n,b epsilon 1,the set of integers,then n is a multipl...

    Text Solution

    |

  10. If A+B+C=180^@ and cis A=x,cis B=y,cis C=z, them xyz=

    Text Solution

    |

  11. If xn=cos(pi/2^n)+isin(pi/2^n), then x1 x2 x3......infinity

    Text Solution

    |

  12. If zk=cos((kpi)/(10))+isin((kpi)/(10)) , then z1z2z3z4 is equal to

    Text Solution

    |

  13. The general value of theta which satisfies the equation (costheta+isin...

    Text Solution

    |

  14. sum(k=1)^6[sin((2kpi)/(7))-icos((2kpi)/(7))]=

    Text Solution

    |

  15. The value of prod(k=1)^6((sin)(2pik)/(7)-(icos)(2pik)/(7)) is

    Text Solution

    |

  16. The value of 1+sum(k=0)^14{(cos)((2k+1)pi)/(15)+(isin)((2k+1)pi)/(15...

    Text Solution

    |

  17. If alpha and beta are the roots of the equation x^2-2x+4=0...

    Text Solution

    |

  18. If cos alpha+cos beta+cos gamma=0 & sin alpha +sin beta +sin gamma=0. ...

    Text Solution

    |

  19. If cosalpha+cosbeta+cosgamma=0=sin alpha+sinbeta+singamma then cos^2al...

    Text Solution

    |

  20. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma then cos(2alp...

    Text Solution

    |