Home
Class 12
MATHS
Two dices are rolled and numbers r(1) an...

Two dices are rolled and numbers `r_(1)` and `r_(2)` are chosen. Let `1+omega^(r_(1))+omega^(r_(2)) =lamda` (where `omega` is a complex cube root of unity). Then

A

The probability that `lamda` is zero is `1/9`

B

The probability that `lamda` is zero is `2/9`

C

The probability that `lamda` is 3 is `1/9`

D

The probability that `lamda` is 3 is `2/9`

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - D Linked Comprehension Type Questions)|21 Videos
  • PROBABILITY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION-E (assertion -reason type questions)|15 Videos
  • PROBABILITY

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - B Objective Type Questions (One option is correct))|65 Videos
  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE|Exercise Section-D:(Assertion-Reason Type Questions)|12 Videos
  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos

Similar Questions

Explore conceptually related problems

If z is a complex number satisfying |z-3|<=4 and | omega z-1-omega^(2)|=a (where omega is complex cube root of unity then

What is sqrt((1+_(omega)^(2))/(1+_(omega))) equal to, where omega is the cube root of unity ?

find the value of |[1,1,1],[1,omega^(2),omega],[1,omega,omega^(2)]| where omega is a cube root of unity

If two fair dices are thrown and digits on dices are a and b, then find the probability for which omega^(ab) = 1 , (where omega is a cube root of unity).

Evaluate: | (1, 1, 1), (1, omega^2, omega), (1, omega, omega^2)| (where omega is an imaginary cube root unity).

The area of a quadrilateral whose vertices are 1,i,omega,omega^(2), where (omega!=1) is a imaginary cube root of unity, is

If p=a+b omega+c omega^(2);q=b+c omega+a omega^(2) and r=c+a omega+b omega^(2) where a,b,c!=0 and omega is the complex cube root of unity,then

" Let "f(x)=int_(x)^(x^2)(t-1)dt" .Then the value of "|f'(omega)|" where "omega" is a complex cube root of unity is "

AAKASH INSTITUTE-PROBABILITY-ASSIGNMENT (SECTION - C Objective Type Questions (More than one options are correct))
  1. There are 7 seats in a row. Three persons take seats at random the pro...

    Text Solution

    |

  2. Box A has 3 white and 2 red balls, box B has 2 white and 4 red balls. ...

    Text Solution

    |

  3. If P(A) = 2/3, P(B) = 4/9 and P(AcapB)=cap, then P(A'capB') is greater...

    Text Solution

    |

  4. If A and B are two events such that P(AcupB)=3/4, P(AcapB)=1/4,P(barA)...

    Text Solution

    |

  5. Two dices are rolled and numbers r(1) and r(2) are chosen. Let 1+omega...

    Text Solution

    |

  6. Delegates of the five of the member countries of SAARC decide to hold ...

    Text Solution

    |

  7. If a Grand father along with his two grandsons and four grand daughter...

    Text Solution

    |

  8. A quadratic equation is chosen from the set of all the quadratic equat...

    Text Solution

    |

  9. A sample space consists of 3 sample points with associated probabiliti...

    Text Solution

    |

  10. If A and B are two independent events such that P(barA nn B)=2/15 and...

    Text Solution

    |

  11. For two events A and B, let P(A) = 3/5, P(B) = 2/3, then which of the ...

    Text Solution

    |

  12. An unbiased coin is tossed n times. Let X denote the number of times h...

    Text Solution

    |

  13. A fair coin is tossed 99 times. If X is the number of times in which h...

    Text Solution

    |

  14. Consider the following events for a family with children A = {Childr...

    Text Solution

    |

  15. From the set S = {0, 1, 2, …., 53}, three distinct numbers are chosen....

    Text Solution

    |

  16. A fair coin is tossed three times. Consider the events A = {First to...

    Text Solution

    |

  17. If A and B are two events such that P(A) = 1/2 and P(B) = 1/3 then whi...

    Text Solution

    |

  18. A, B, C in order roll a dice on the condition that one who gets a six,...

    Text Solution

    |

  19. There are 3 men, 2 women and 4 children. If 4 persons are selected the...

    Text Solution

    |

  20. If the letters of word ASSASSIN are written at random in a raw, then w...

    Text Solution

    |