Home
Class 12
MATHS
Let alpha and beta be the roots of the ...

Let `alpha` and `beta` be the roots of the equation `x^(2) + x + 1 = 0`.
Then, for `y ne 0` in R.
`[{:(y+1, alpha,beta), (alpha, y+beta, 1),(beta, 1, y+alpha):}]` is

A

`y(y^(2)-1)`

B

`y(y^(2)-3)`

C

`y^(3)`

D

`y^(3)-1`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 2: (CONCEPT APPLICATOR)|30 Videos

  • LIMITS AND DERIVATIVES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

Let alpha and beta be the roots of the equation x^(2) + x + 1 = 0 . Then, for y ne 0 in R. |{:(y+1, alpha,beta), (alpha, y+beta, 1),(beta, 1, y+alpha):}| is

Let alpha and beta be the roots of the equation x^(2)+x+1=0. Then for y ne 0 in R, |(y+1,alpha,beta),(alpha,y+beta,1),(beta,1,y+alpha)| is equal to :

If alpha and beta are the roots of the equation 1+x+x^(2)=0 , then the matrix product [{:(1, beta),(alpha,alpha):}][{:(alpha, beta),(1,beta):}] is equal to :

Let alpha and beta be the roots of the equation x^(2)+ax+1=0, a ne0 . Then the equation whose roots are -(alpha+(1)/(beta)) and -((1)/(alpha)+beta) is

If alpha and beta are the roots of the equation 4x^(2)+3x+7=0, then (1)/(alpha)+(1)/(beta)=

DISHA PUBLICATION-JEE MAIN - 2019 (HELD ON: 9TH APRIL 2019(MORNING SHIFT))-MCQs
  1. The solution of the differential equation x(dy)/(dx) + 2y = x^...

    Text Solution

    |

  2. For any two statements p and q, the negation of the expression p vee (...

    Text Solution

    |

  3. All the points in the set S={(alpha+i)/(alpha-i):alpha in R } (i= sqrt...

    Text Solution

    |

  4. If the fourth term in the binomial expansin of ((2)/(x) + x^(log(6) x)...

    Text Solution

    |

  5. If the function f defined on (pi/6,pi/3) by {{:((sqrt2 cos x -1)/(cot ...

    Text Solution

    |

  6. If the function f: R -{1,-1} to A definded by f(x)=(x^(2))/(1-x^(2)), ...

    Text Solution

    |

  7. A plane passing through the points (0, -1, 0) and (0, 0, 1) and making...

    Text Solution

    |

  8. Let the sum of the first n terms of a non-constant A.P., a(1), a(2), a...

    Text Solution

    |

  9. Let S = { theta in [-2pi,2pi]:2 cos^(2) theta + 3 sin theta = 0}, the...

    Text Solution

    |

  10. If one root of the quadratic equation X^(2)+px+q=0 is 2-sqrt(3) : wher...

    Text Solution

    |

  11. Let f(x) = 15 -|x-10|, x in R. Then, the set of all values of x, at w...

    Text Solution

    |

  12. Let S be the set of all values of x for which the tangent to the curve...

    Text Solution

    |

  13. If a tangent to the circle x^(2)+y^(2)=1 intersects the coordinate axe...

    Text Solution

    |

  14. Let vecalpha = 3hati + hatj and beta= 2hati - hatj + 3hatk. If vecbeta...

    Text Solution

    |

  15. The area (in sq units) of the region A={(x,y): x^(2) le y le x +2} is

    Text Solution

    |

  16. If [{:(1, 1), (0,1):}]*[{:(1, 2), (0,1):}]*[{:(1, 3), (0,1):}]cdotcdot...

    Text Solution

    |

  17. Let sum(k=1)^(10)f(a+k)=16(2^(10)-1), where the function f satisfies ...

    Text Solution

    |

  18. A committee of 11 members is to be formed from 8 males and 5 m=females...

    Text Solution

    |

  19. Let alpha and beta be the roots of the equation x^(2) + x + 1 = 0. ...

    Text Solution

    |

  20. One extremity of a focal chord of y^2 = 16x is A(1,4). Then the length...

    Text Solution

    |