Home
Class 12
MATHS
If adjB=A ,|P|=|Q|=1,t h e na d j(Q^(-1)...

If adj`B=A ,|P|=|Q|=1,t h e na d j(Q^(-1)B P^(-1))` is `P Q` b. `Q A P` c. `P A Q` d. `P A^1Q`

A

PQ

B

QAP

C

PAQ

D

`PA^(-1)` Q

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    DISHA PUBLICATION|Exercise EXERCISE -2 CONCEPT APPLICATOR|30 Videos
  • DETERMINANTS

    DISHA PUBLICATION|Exercise EXERCISE -2 CONCEPT APPLICATOR|30 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos
  • DIFFERENTIAL EQUATIONS

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

Similar Questions

Explore conceptually related problems

If adj B=A,|P|=|Q|=1, then adj (Q^(-1)BP^(-1)) is PQ b.QAP c.PAQ d.PA^(1)Q

" If "A,B,P" and "Q" are square matrices of the same order such that "adj B=A,|P|=|Q|=1," then "adj(Q^(-1)BP^(-1))=

If P and Q are symmetric matrices and PQ=QP then which of the following is/are true (A) QP^(-1)=P^(-1)Q(B)PQ is skew symmetric (C) P^(-1)Q is symmetric (D) both (a) and (c)

A B C is a triangle and P Q is a straight line meeting A B in P and A C in Q . If A P=1c m , P B=3c m , A Q=1. 5 c m , Q C=4. 5 m , prove that area of A P Q is one-sixteenth of the area of A B C .

If a=xy^(p-1),b=yz^(q-1),c=zx^(r-1) , then a^(q-r)b^(r-p)c^(p-q) is equal to

A B C D is a parallelogram. P is a point on A D such that A P=1/3\ A D\ a n d\ Q is a point on B C such that: C Q=1/3B Cdot Prove that A Q C P is a parallelogram.

If a,(1)/(b),c and (1)/(p),q,(1)/(r) form two arithmetic progressions of the common difference,then a,q,c are in A.P.if p,b,r are in A.P.b.(1)/(p),(1)/(b),(1)/(r) are in A.P.c.p,b,r are in G.P.d. none of these

A B C D is a parallelogram. P is the mid-point of A BdotB D\ a n d\ C P intersect at Q such that C Q : Q P=3: 1. If a r\ ( P B Q)=10\ c m^2, find the area of parallelogram A B C D

If in an A.P.the pth term is q and (p+q)^(th) term is zero then the q^(th) term is -p b.p c.p+q d.p-q

If A B C~= P Q R and A B C is not congruent to R P Q , then which of the following not true: B C=P Q (b) A C=P R (c) A B=P Q (D) Q R=B C

DISHA PUBLICATION-DETERMINANTS-EXERCISE -1 CONCEPT BUILDER
  1. If the value of (a + b + c)= 0 then determinant |{:(a-b-c,2a,2a),(2b,b...

    Text Solution

    |

  2. If a1, a2, a3,....... are in G.P. then the value of determinant |(log(...

    Text Solution

    |

  3. If adjB=A ,|P|=|Q|=1,t h e na d j(Q^(-1)B P^(-1)) is P Q b. Q A P c. P...

    Text Solution

    |

  4. If A = [{:(1,tan x),(-tanx,1):}] , then the value of |A' A^(-1)|

    Text Solution

    |

  5. The matrix [(lamda,-1,4),(-3,0,1),(-1,1,2)] is invertible if

    Text Solution

    |

  6. If A={:[(3,2),(0,1)]:}" then:(A^(-1))^(3)=

    Text Solution

    |

  7. The matrix [(lamda,-1,4),(-3,0,1),(-1,1,2)] is invertible if

    Text Solution

    |

  8. If A= [{:(1,0,3),(2,1,1),(0,0,2):}] , then the value of |adj(adj A) | ...

    Text Solution

    |

  9. If A = [{:(0,-1,2),(2,-2,0):}], B = [{:(0,1),(1,0),(1,1):}] and M = AB...

    Text Solution

    |

  10. If for AX=B, B=[[9], [52], [0]] and A^(-1)=[[3, -(1)/(2), -(1)/(2)], [...

    Text Solution

    |

  11. If matrix [(1,2,-1),(3,4,5),(2,6,7)] and its inverse is denoted by A^(...

    Text Solution

    |

  12. If A = [{:(1,0),(1,1):}] , then value of A^(-a) is

    Text Solution

    |

  13. If A is a non-singular matrix of order 3, then |adj A| = |A|^(n) here ...

    Text Solution

    |

  14. If A = [{:(2,4,5),(4,8,10),(-6,-12,-15):}]. Then rank of A is equal to...

    Text Solution

    |

  15. If the area of triangle with vertices (2,-6), (5,4) and (k,4) is 35. T...

    Text Solution

    |

  16. Delta =|(1+a^2+a^4,1+ab+a^2b^2, 1+ac+a^2c^2), (1+ab+a^2b^2, 1+b^2+b^4,...

    Text Solution

    |

  17. The rank of the matrix [{:(-1,2,5),(2,-4,a-4),(1,-2,a+1):}] is

    Text Solution

    |

  18. If y = |{:(sin x , cos x , sin x),(cos x,-sin x, cos x),(x, 1, 1):}|, ...

    Text Solution

    |

  19. Consider the system of linear equations a(1)x+b(1)y+ c(1)z+d(1)=0, ...

    Text Solution

    |

  20. " If " Delta(1) =|{:(x,,b,,b),(a,,x,,b),(a,,a,,x):}|" and " Delta(2)...

    Text Solution

    |