Home
Class 12
MATHS
A real value of of x satisfies the equat...

A real value of of x satisfies the equation `(3-4ix)/(3+4ix)= alpha-ibeta(alpha,beta in R) ` if `alpha^(2)+beta^(2))` =

A

1

B

-1

C

2

D

-2

Text Solution

Verified by Experts

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

A real value of x satisfies the equation (3-4ix)/(3+4ix)=alpha-ibeta(alpha,beta in R) , if alpha^2+beta^2=

If alpha and beta are the roots of the equation x^(2)+x+c=0 such that alpha+beta, alpha^(2)+beta^(2) and alpha^(3)+beta^(3) are in arithmetic progression, then c is equal to

Given alpha and beta are the roots of the quadratic equation x^(2)-4x+k=0(kne0). If alpha beta, alpha beta^(2)+alpha^(2)beta and alpha^(3)+beta^(3) are in geometric progression, then the value of k is equal to

If alpha,beta are the roots of the equation x^(2)-2x-1=0 , then what is the value of alpha^(2)beta^(-2)+alpha^(-2)beta^(2) ?

If alpha,beta are the roots of the equation x^(2)+px+q=0 , find the value of (a) alpha^(3)beta+alphabeta^(3) (b) alpha^(4)+alpha^(2)beta^(2)+beta^(4) .

Let alpha satisfy the equation x ^(3) +3x ^(2) +4x+5=0 and beta satisfy the equatin x ^(3) -3x ^(2)+4x-5=0,alpha, beta in R, then alpha + beta =

If alpha,beta are roots of x^(2)-px+q=0 , find the value of (i) alpha^(2)+beta^(2) (ii) alpha^(3)+beta^(3) (iii) alpha-beta , (iv) alpha^(4)+beta^(4) .

If alpha and beta are the roots of the equation x^2+4x + 1=0(alpha > beta) then find the value of 1/(alpha)^2 + 1/(beta)^2

If alpha and beta are roots of the equation px^(2)+qx+1=0 , then the value of alpha^(3)beta^(2)+alpha^(2)beta^(3) is

If alpha and beta are the roots of the equation x^2-px + q = 0 then the value of (alpha+beta)x -((alpha^2+beta^2)/2)x^2+((alpha^3+beta^3)/3)x^3+... is

VMC MODULES ENGLISH-COMPLEX NUMBERS -JEE ARCHIVE
  1. A real value of of x satisfies the equation (3-4ix)/(3+4ix)= alpha-ibe...

    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

    |