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

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

A

`alpha^2 -beta^2 = -1`

B

`alpha^2 - beta^2 = 1`

C

`alpha^2 + beta^2 = 1`

D

`alpha^2 - beta^2 = 2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • GGSIPU MATHEMATICS 2004

    IPUCET PREVIOUS YEAR PAPERS|Exercise MCQ|51 Videos
  • GGSIPU MATHEMATICS 2006

    IPUCET PREVIOUS YEAR PAPERS|Exercise MCQ|51 Videos

Similar Questions

Explore conceptually related problems

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

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 =

Given alpha and beta are the roots of the quadratic equation x^(2)-4x+k=0(k!=0)* If alpha beta,alpha beta^(2)+alpha^(2)beta,alpha^(3)+beta^(3) are in geometric progression,then the value of 7k/2 equals

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 and beta are are the real roots of the equation x^(3)-px-4=0,p in R such that 2alpha+beta=0 then the value of (2alpha^(3)+beta^(3)) equals

If alpha,beta, are roots of the equation x^(2)+sqrt(x)alpha+beta=0,beta beta then values of alpha and beta are 1. alpha=1 and beta=12 .alpha=1 and beta=-2 3.alpha=2 and beta=1alpha=2 and beta=-2

If alpha and beta are the real roots of the equation x^(3)-px-4=0, p in R such that 2 alpha+beta=0 then the value of (2 alpha^(3)+beta^(3)) equals

If alpha and beta are the roots of the equation x^(2)-4x+1=0(alpha>beta) then find the value of f(alpha,beta)=(beta^(3))/(2)csc^(2)((1)/(2)tan^(-1)((beta)/(alpha))+(alpha^(3))/(2)sec^(2)((1)/(2)tan^(-1)((alpha)/(beta)))

If alpha and beta are the roots of the equation x^(2)-4x+1=0(alpha

IPUCET PREVIOUS YEAR PAPERS-GGSIPU MATHEMATICS 2005-MCQ
  1. The octal equivalent of the decimal number 0.3125 is :

    Text Solution

    |

  2. The hexadecimal equivalent of the binary number 111100001010001 is

    Text Solution

    |

  3. A real value of x satisfies the equation (3-4ix)/(3+4ix)=alpha-ibeta(a...

    Text Solution

    |

  4. If P, Q, R, S are represented by the complex number 4 +i,1+6i,-4+3i,-1...

    Text Solution

    |

  5. If n is a positive integer, then (1 + i)^n + (1-1)^n is equal to

    Text Solution

    |

  6. The number of ways in which 9 persons can be divided into three equal ...

    Text Solution

    |

  7. A dictionary is printed consisting of 7 lettered words only that can b...

    Text Solution

    |

  8. If the sum of the coefficient in the expansion of x+y^n is 1024, then...

    Text Solution

    |

  9. The value of the determinant |(10!,11!,12!),(11!,12!,13!),(12!,13!,14!...

    Text Solution

    |

  10. If A and B are two matrices such that AB=B and BA=A, then

    Text Solution

    |

  11. If the points (x1,y1),(x2,y2)and(x3,y3) are collinear, then the rank o...

    Text Solution

    |

  12. Consider the system of equations x+y+z=6 x+2y+3z=10 x+2y+lambda...

    Text Solution

    |

  13. If A = |(sin (theta + alpha),cos (theta + alpha),1),(sin (theta + bet...

    Text Solution

    |

  14. An investigator interviewed 100 students to determine the performan...

    Text Solution

    |

  15. Let Y= (1, 2, 3, 4, 5}, A = {1, 2). B = (3, 4, 5) If (A xx B) denote...

    Text Solution

    |

  16. Let A = {1, 2, 3, 4, 5, …., 17, 18}. Let '~=' be the equivalence relat...

    Text Solution

    |

  17. If a , b are two fixed positive integers such that f(a+x)=b+[b^3+1-3b^...

    Text Solution

    |

  18. the domain of the function f(x)=log(3+x)(x^(2)-1) is

    Text Solution

    |

  19. The value of cot 70^(@) + 4 cos 70^(@) is

    Text Solution

    |

  20. The equation of sinx+siny+sinz = - 3 for 0 lt= x lt= 2 pi, 0 lt= y lt=...

    Text Solution

    |