Home
Class 12
MATHS
If A=[(alpha , 2),(2,alpha)] and |A^3|=1...

If `A=[(alpha , 2),(2,alpha)]` and `|A^3|=125`, then the value of `alpha` is :

A

`+-1`

B

`+-2`

C

`+-3`

D

`+-5`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Recent IIT questions

    A DAS GUPTA|Exercise Exercise|20 Videos
  • Some New Pattern Problems

    A DAS GUPTA|Exercise Exercise|137 Videos

Similar Questions

Explore conceptually related problems

if A=[{:(alpha,2),(2, alpha):}] and |A^(3)|=125 then the value of alpha is

If A = [{:( alpha , 2),( 2,alpha ) :}] and |A^(3) | = 125 then the value of alpha is

If A=[(alpha,2),(2,alpha)] and determinant (A^3)=125, then the value of alpha is (a) +-1 (b) +-2 (c) +-3 (d) +-5

If A=[alpha2 2alpha]a n d|A^3|=125 , then the value of alpha is a.+-1 b. +-2 c. +-3 d. +-5

If the equation (alpha^(2)-5alpha+6)x^(2)+(alpha^(2)-3alpha+2)x+(alpha^(2)-4)=0 has more than two roots, then the value of alpha is :

If tan alpha = sqrt3+2 , then the value of tan alpha - cot alpha is

If sec^(2)alpha+cos^(2)alpha=2 , then find the value of sec alpha+ cos alpha .

A DAS GUPTA-Screening Tests-Exercise
  1. For all ' x^(prime),x^2+2a x+(10-3a)>0, then the interval in which ' a...

    Text Solution

    |

  2. If A=[(alpha , 2),(2,alpha)] and |A^3|=125, then the value of alpha i...

    Text Solution

    |

  3. If a,b,c and d are four positive real numbers such that abcd=1 , what ...

    Text Solution

    |

  4. How many ways are there to arrange the letters in the word G...

    Text Solution

    |

  5. If f: R toS, defined by f(x) = sin x -sqrt(3) cos x + 1, is onto then ...

    Text Solution

    |

  6. If f(x)=sinx+cosx and g(x)=x^2-1, then g(f (x)) is invertible in the ...

    Text Solution

    |

  7. If lim(x -> oo) (1 + a/x + b/x^2)^(2x)= e^2 then the values of a and ...

    Text Solution

    |

  8. If int (sin x)/(sin (x-alpha))dx =Ax+B log sin (x-alpha)+C, then the ...

    Text Solution

    |

  9. The solution of the differential equation y dx +(x +x^2 y) dy=0 is

    Text Solution

    |

  10. If theta and phi are positive acute angles satisfying sin theta =1/2 a...

    Text Solution

    |

  11. The value of x for which sin(cot^-1(1+x))=cos (tan^-1x) is

    Text Solution

    |

  12. The sides of a triangle are sin alpha, cos alpha and sqrt(1+ sin alpha...

    Text Solution

    |

  13. If the line 2x+sqrt6y=2 touches the hyperbola x^2-2y^2=4, then the po...

    Text Solution

    |

  14. If the lines (x-1)/2=(y+1)/3=(z-1)/4 and (x-3)/1=(y-k)/2=z/1 intersec...

    Text Solution

    |

  15. Let vec a , vec b, vec c be three non-zero vectors such that any two ...

    Text Solution

    |

  16. The probability that A speaks truth is (4)/(5), while this probability...

    Text Solution

    |

  17. If three distinct numbers are chosen randomly from the first 100 natur...

    Text Solution

    |

  18. If 4x^4 +9y^4= 64 then the maximum value of x^2+y^2 is (where x and y ...

    Text Solution

    |

  19. If log30(3)=alpha and log30(5)=beta, then log30(8) is equal to

    Text Solution

    |

  20. An infinite G.P has first term x and sum 5 then x belongs to ?

    Text Solution

    |