Home
Class 12
MATHS
If alpha and beta are different complex ...

If `alpha` and `beta` are different complex numbers with `|beta|=1`, then find `|(beta -alpha)/(1-baralphabeta)|`

A

`(1)/(2)`

B

0

C

`-1`

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • K-CET- MATHEMATICS - 2017

    SUNSTAR PUBLICATION|Exercise MCQs|59 Videos
  • K-CET-MATHEMATICS -2018

    SUNSTAR PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|58 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta two different complex numbers with |beta|=1 , then |(beta-alpha)/(1-bar(alpha)beta)| is equal to

If alpha,beta are two complex numbers such that |alpha|=1 , |beta|=1 , then the expression |(beta-alpha)/(1-baralphabeta)| equals

Let p and q be real numbers such that p ne 0 , p^(3) ne q and p^(3) ne - q. if alpha and beta are non-zero complex numbers satisfying alpha + beta = -p and alpha^(3) + beta^(3) = q, then a quadratic equation having (alpha)/(beta ) and (beta)/(alpha) as its roots is :

Let alpha and beta be two distinct complex numbers, such that abs(alpha)=abs(beta) . If real part of alpha is positive and imaginary part of beta is negative, then the complex number (alpha+beta)//(alpha-beta) may be

If alpha and beta are the zeroes of the polynomial 2x^2 + 5x + 1 , then the value of alpha +beta+ alpha beta is

If alpha and beta are two nonzero and different vectors such that |vec alpha + vec beta| = |vec beta - vec alpha| then the angle between the vectors vec alpha and vec beta is

Let p and q be real number such that p ne 0 , p^(3) ne q and p^(3) ne -q . If alpha and beta non- zero complex number satifying alpha+ beta= -p and alpha^(3) + beta^(3) =q then a quadratic equation having (alpha)/(beta) and (beta) /(alpha) as its roots is :

If alpha,beta be the roots of the equation 3x^2+2x+1=0, then find value of ((1-alpha)/(1+alpha))^3+((1-beta)/(1+beta))^3

If alpha and beta are non real cube roots of unity then alpha beta+alpha^(5)+beta^(5)=

SUNSTAR PUBLICATION-K-CET-MATHEMATICS - 2014-MCQs
  1. Two dice are thrown simultaneously. The probability of obtaining a tot...

    Text Solution

    |

  2. If the events A and B are independent if P (A ) = (2)/(3) and P (...

    Text Solution

    |

  3. A box contains 100 bulbs, out of which 10 are defective. A sample of 5...

    Text Solution

    |

  4. The area of the parallelogram whose adjacent sides are hati + hatk and...

    Text Solution

    |

  5. If vec(a) and vec(b) are two units vector inclined at an angle of (pi)...

    Text Solution

    |

  6. The value of [vec(a)-vec(b) vec(b)-vec(c) vec(c)-vec(a)] is equal to

    Text Solution

    |

  7. If x+y le 2, x ge 0, y le 0 the point at which maximum value of 3x+2y ...

    Text Solution

    |

  8. If sin theta= sin alpha, then

    Text Solution

    |

  9. If tan x = (3)/(4), pi lt x lt (3pi)/(2), then the value of cos""(x)/(...

    Text Solution

    |

  10. In a triangle ABC, a[b cos C - c cos B] =

    Text Solution

    |

  11. If alpha and beta are different complex numbers with |beta|=1, then fi...

    Text Solution

    |

  12. The set A={x:|2x+3| lt 7} is equal to the set

    Text Solution

    |

  13. How many 5 digit telephone numbers can be constructed using the digi...

    Text Solution

    |

  14. If 215 and 22nd lens in the expansion of (1+x)^(44) one is equal, then...

    Text Solution

    |

  15. Consider an infinite geometric series with first term a and common rat...

    Text Solution

    |

  16. A straight line passes through the points (5, 0) and (0, 3). The lengt...

    Text Solution

    |

  17. Equation of circle with centre (-a, -b) and radius sqrt(a^(2) - b^(2))...

    Text Solution

    |

  18. The area of the triangle formed by the linea joining the vertex of th ...

    Text Solution

    |

  19. If the coefficient of variation and standard deviation are 60 and 21 r...

    Text Solution

    |

  20. If f(x) = {{:((3 sin pi x)/(5 x),x ne 0),(2k,x = 0):} is continuous at...

    Text Solution

    |