Home
Class 11
MATHS
If Delta=|(a,b,c),(x,y,z),(p,q,r)|,"then...

If `Delta=|(a,b,c),(x,y,z),(p,q,r)|,"then"|(ka,kb,kc),(kx,ky,kz),(kp,kq,kr)|`is

A

`Delta`

B

k`Delta`

C

`3kDelta`

D

`k^(3)Delta`

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION -A (1 MARK )|7 Videos
  • MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION -B (2 MARK )|3 Videos
  • MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise EXERCISE 7.4|9 Videos
  • INTRODUCTION OF PROBABILITY THEOREM

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION - A|14 Videos
  • QUESTION PAPER -19

    SURA PUBLICATION|Exercise SECTION - IV|11 Videos

Similar Questions

Explore conceptually related problems

If A=[(a,b,c),(x,y,x),(p,q,r)], B=[(q,-b,y),(-p,a,-x),(r,-c,z)] and If A is invertible, then which of the following is not true ?

If A= [(2x,2y,2z),(2a,2b,2c),(2p,2q,2r)] and Delta =[(x,y,z),(a,b,c),(p,q,r)] then det A is

Prove that Delta ={:[( a+bx,c+dx,p+qx),( ax+b,cx+d,px+q),(u,v,w) ]:}=( 1-x^(2)) {:[( a,c,p),(b,d,q),(u,v,w)]:}

Using the property of determinants and without expanding {:[( b+c,q+r,y+z),( c+a,r+p,z+x),( a+b,p+q,x+y) ]:}=2 {:[(a,p,x),( b,q,y),(c,r,z)]:}

If x ,y ,z are different from zero and "Delta"=|[a, b-y ,c-z],[ a-x, b ,c-z],[ a-x, b-y, c]|=0, then the value of the expression a/x+b/y+c/z is 0 b. -1 c. 1 d. 2

if x,y and z are not all zero and connected by the equations a_(1)x+b_(1)y+c_(1)z=0,a_(z)x+b_(2)y+c_(2)z=0 and (p_(1)+lambdaq_(1))x+(p_(2)+lambdaq_(2))y+(p_(3)+lambdaq_(3))z=0 show that lambda =-|{:(a_(1),,b_(1),,c_(1)),(a_(2) ,,b_(2),,c_(2)),(p_(1) ,, p_(2),,p_(3)):}|-:|{:(a_(1),,b_(1),,c_(1)),(a_(2) ,,b_(2),,c_(2)),(q_(1) ,, q_(2),,q_(3)):}|

If a ,b ,c ,d ,e , and f are in G.P. then the value of |((a^2),(d^2),x),((b^2),(e^2),y),((c^2),(f^2),z)| depends on (A) x and y (B) x and z (C) y and z (D) independent of x ,y ,and z

Let a,b,c be in A.P and x,y,z be in G.P.. Then the points (a,x),(b,y) and (c,z) will be collinear if

If x^2+y^2+z^2=r^2,t h e ntan^(-1)((x y)/(z r))+tan^(-1)((y z)/(x r))+tan^(-1)((x z)/(y r)) is equal to (a) pi (b) pi/2 (c) 0 (d) none of these

|{:(.^(x)C_(r),,.^(x)C_(r+1),,.^(x)C_(r+2)),(.^(y)C_(r),,.^(y)C_(r+1),,.^(y)C_(r+2)),(.^(z)C_(r),,.^(z)C_(r+1),,.^(z)C_(r+2)):}| is equal to

SURA PUBLICATION-MATRICES AND DETERMINANTS -EXERCISE 7.5
  1. If A= [(1,-1),(2,-1)] and B = [(a,1),(b,-1)] and(A+B)^(2)=A^(2)+B^(2),...

    Text Solution

    |

  2. If A = [(1,2,2),(2,1,-2),(a,2,b)] is a matrix satisfying the equation ...

    Text Solution

    |

  3. If A is a square matrix, then which of the following is not symmetric ...

    Text Solution

    |

  4. If A and B are symmetric matrices of order n,where(A ne B),then:

    Text Solution

    |

  5. If A = [(a,x),(y,a)] and if xy = 1, then det ("AA"^(T)) is equal to

    Text Solution

    |

  6. The value of x, for which the matrix A = [(e^(x-2),e^(7+x)),(e^(2+x),e...

    Text Solution

    |

  7. If the points (x,-2), (5,2), (8,8) are collinear, then x is equal to

    Text Solution

    |

  8. If =|(2a,x(1),y(1)),(2b,x(2),y(2)),(2c,x(3),y(3))|=abc/2 ne 0then the ...

    Text Solution

    |

  9. If the square of the matrix [(alpha,beta),(gamma,-alpha)] is the unit ...

    Text Solution

    |

  10. If Delta=|(a,b,c),(x,y,z),(p,q,r)|,"then"|(ka,kb,kc),(kx,ky,kz),(kp,kq...

    Text Solution

    |

  11. A root of the equation |(3-x,-6,3),(-6,3-x,3),(3,3,-6-x)|=0 is

    Text Solution

    |

  12. The value of the determinant of A = [(0,a,-b),(-a,0,c),(b,-c,0)] is

    Text Solution

    |

  13. If x(1), x(2), x(3) and y(1),y(2), y(3) are in arithmetic progression ...

    Text Solution

    |

  14. If |.| denotes the greatest integer less than or equal to the real num...

    Text Solution

    |

  15. If a ne b, b,c satisfy |(a,2b,2c),(3,b,c),(4,a,b)|=0, then abc =

    Text Solution

    |

  16. If A = |(-1,2,4),(3,1,0),(-2,4,2)|and B= |(-2,4,2),(6,2,0),(-2,4,8)|,t...

    Text Solution

    |

  17. If A is a skew symmetric matrix of order n and C is a column matrix of...

    Text Solution

    |

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

    Text Solution

    |

  19. If A +I = [(3,-2),(4,1)], then (A+I) (A-I) is equal to

    Text Solution

    |

  20. Let A and B be two symmetrices of same order. Then which one of the f...

    Text Solution

    |