Home
Class 12
MATHS
If A=[(a,b),(b,a)] and A^(2)=[(alpha, be...

If `A=[(a,b),(b,a)]` and `A^(2)=[(alpha, beta),(beta, alpha)]`then `(alpha, beta)` is

A

`alpha=a^(2)+b^(2),beta=ab`

B

`alpha=a^(2)+b^(2),beta=2ab`

C

`alpha=a^(2)+b^(2),beta=a^(2)-b^(2)`

D

`alpha=2ab,beta=a^(2)+b^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ML KHANNA|Exercise PROBLEM SET(1) (ASSERTION /REASON)|3 Videos

  • MATRICES

    ML KHANNA|Exercise PROBLEM SET(1) (TRUE AND FALSE)|9 Videos

  • MATRICES

    ML KHANNA|Exercise EXAMPLE|4 Videos

  • MATHEMATICAL REASONING

    ML KHANNA|Exercise PROBLEM SET (2) ASSERTION/REASON|3 Videos

  • MAXIMA AND MINIMA

    ML KHANNA|Exercise MISCELANEOUS EXERCISE (COMPREHENSION)|3 Videos

Similar Questions

Explore conceptually related problems

If A=[(a,b),(b,a)] and A^2=[(alpha, beta),(beta, alpha)] then (A) alpha=a^2+b^2, beta=ab (B) alpha=a^2+b^2, beta=2ab (C) alpha=a^2+b^2, beta=a^2-b^2 (D) alpha=2ab, beta=a^2+b^2

csc^(2)(alpha+beta)-sin^(2)(beta-alpha)+sin^(2)(2 alpha-beta)=cos^(2)(alpha-beta) where alpha,beta in(0,(pi)/(2)), then sin(alpha-beta) is equals

2sin^(2)beta+4cos(alpha+beta)sin alpha sin beta+cos2(alpha+beta)=

If alpha, beta, gamma are the roots of x^(3) + ax^(2) + b = 0 , then the value of |(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)| , is

If tan(alpha-beta)=(sin2 beta)/(3-cos2 beta) then (a) tan alpha=2tan beta(b)tan beta=2tan alpha(c)2tan alpha=3tan beta(d)3tan alpha=2tan beta

tan alpha and tan beta are roots of the equation x^(2)+ax+b=0, then the value of sin^(2)(alpha+beta)+a sin(alpha+beta)cos(alpha+beta)+b cos^(2)(alpha+beta) is equal to

tan alpha and tan beta are roots of the equation x^(2)+ax+b=0, then the value of sin^(2)(alpha+beta)+a sin(alpha+beta)*cos(alpha+beta)+b cos^(2)(alpha+beta) is equal to

If alpha and beta are roots of ax^(2) + bx + c = 0 , then find the value of a((alpha^(2) + beta^(2))/(beta alpha)) + b((alpha)/(beta) + (beta)/(alpha))

If alpha,beta are roots of the equation x^(2)+2x+5=0 and bar(a)=(alpha+beta)bar(i)+alpha betabar(j),beta b=alpha betabar(i)+(alpha+beta)bar(j)+(alpha^(2)+beta^(2))bar(k) then bar(a)xxbar(b)=

ML KHANNA-MATRICES-PROBLEM SET(1) (MULTIPLE CHOICE QUESTIONS)
  1. If A=[(1,1,1),(1,1,1),(1,1,1)] then A^(2)=

    Text Solution

    |

  2. If [(alpha, beta),(gamma,-alpha)] is to be square root of the two rowe...

    Text Solution

    |

  3. If A=[(a,b),(b,a)] and A^(2)=[(alpha, beta),(beta, alpha)]then (alpha,...

    Text Solution

    |

  4. If A= (a(ij)) is a 4xx4 matrix and C(ij), is the co-factor of the ele...

    Text Solution

    |

  5. If A is a square matrix such that A^(2)=A, then |A| equals

    Text Solution

    |

  6. If A^(2)+A=I then A^(-1) is

    Text Solution

    |

  7. If A^(2)-A+I=O then inverse of A is

    Text Solution

    |

  8. The multiplicative inverse of A=[(cos theta,-sin theta),(sin theta, co...

    Text Solution

    |

  9. The matrix A satisfying the equation [(1,3),(0,1)]A=[(1,1),(0,-1)] is

    Text Solution

    |

  10. If A=BX and A=[(1,2),(3,-4)] and B is [(1,0),(0,2)] then X=

    Text Solution

    |

  11. If a,b,c are non-zero real numbers, then the inverse of the matrix A=[...

    Text Solution

    |

  12. If D=diag[d(1),d(2),…………..,d(n)] where d(i)!=0AAi=1,2,3,………..n then D^...

    Text Solution

    |

  13. If A=[(3,4),(2,4)],B=[(-2,-2),(0,-2)] then (A+B)^(-1)=

    Text Solution

    |

  14. If A=diag[d(1),d(2),d(3)] then A^(n) is equal to

    Text Solution

    |

  15. Inverse of the matrix [(3,-2,-1),(-4,1,-1),(2,0,1)] is

    Text Solution

    |

  16. If A=[(1,-1,1),(2,1,-3),(1,1,1)] and 10 B=[(4,2,2),(-5,0,alpha),(1,-2,...

    Text Solution

    |

  17. The inverse of a symmetric matrix is a matrix which is

    Text Solution

    |

  18. A=[(1,0,0),(0,1,1),(0,-2,4)],I=[(1,0,0),(0,1,0),(0,0,1)] A^(-1)=1/6(...

    Text Solution

    |

  19. If A=[(0,0,1),(0,-1,0),(1,0,0)] then A^(-1)=

    Text Solution

    |

  20. Let F(alpha)=[(cos alpha, -sin alpha, 0),(sin alpha, cos alpha, 0),(0,...

    Text Solution

    |