Home
Class 12
MATHS
|{:(a,-b,a-b),(b,c,b-c),(2,1,0):}|=0 the...

`|{:(a,-b,a-b),(b,c,b-c),(2,1,0):}|=0` then a,b,c are in …………..

A

G.P

B

A.P

C

H.P

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practice work|34 Videos
  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions)|17 Videos
  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Work|90 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 5 (Section-D)|4 Videos
  • INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER-7 (SECTION-D)|2 Videos

Similar Questions

Explore conceptually related problems

If |{:(a,b,ax+b),(b,c,bx+c),(ax+b,bx+c,0):}|'=0 then "a,b,c are in" .. (''where ax^2+2bx-c ne' 0)

If a+b+c ne 0 and |{:(a,b,c),(b,c,a),(c,a,b):}|=0 then prove that a=b=c

If a+b+c=0 and |{:(a-x,c,b),(c,b-x,a),(b,a,c-x):}|=0 then find the value of x

If ane0, bne0,cne0 " "and " |{:(1+a,1,1),(1+b,1+2b,1),(1+c,1+c,1+3c):}| =0 the value of |a^(-1)+b^(-1)+c^(-1)| is equal to

If f(x)=|{:(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0):}| , then "............"

If a!=b!=c\ and\ |{:(a, b, c), (a^2,b^2,c^2), (b+c, c+a, a+b):}|=0 then A. a+b+c=0 B. a b+b c+c a=0 C. a^2+b^2+c^2=a b+b c+c a D. a b c=0

Let a,b,c be such that b(a+c) ne 0 . If |{:(,a,a+1,a-1),(,-b,b+1,b-1),(,c,c-1,c+1):}|+|{:(,a+1,b+1,c-1),(,a-1,b-1,c+1),(,(-1)^(n+2)a,(-1)^(n+1)b,(-1)^(n)c):}|=0 , Then the value of 'n' is:

If a, b and c are real numbers , and Delta=|{:(b+c,c+a,a+b),(c+a,a+b,b+c),(a+b,b+c,c+a):}| Show that either a+b+c=0 or a=b=c

If the maxtrix [{:(0,a,3),(2,b,-1),(c,1,0):}] is a skew symmetric matrix , find the values of a,b,andc.

KUMAR PRAKASHAN-DETERMINANTS -Textbook based MCQs
  1. If A is a square matrix and |A| = 2 then |A|^n = ………. . Where n is pos...

    Text Solution

    |

  2. If A is a square matrix and A^2=A" then |A|=……..

    Text Solution

    |

  3. |{:(a,-b,a-b),(b,c,b-c),(2,1,0):}|=0 then a,b,c are in …………..

    Text Solution

    |

  4. |{:(2,3,4),(4x,6x,8x),(5,7,8):}|=......

    Text Solution

    |

  5. The value of |{:(2008,2009),(2010,2011):}| is …..

    Text Solution

    |

  6. |{:(x,1,y+z),(y,1,z+x),(z,1,x+y):}|=.......

    Text Solution

    |

  7. |{:(sin40^@,-cos40^@),(sin50^@,cos50^@):}|=.......

    Text Solution

    |

  8. If D=|{:(2,3,1),(5,-1,2),(7,4,-1):}| , performing R(12(-1) on D then D...

    Text Solution

    |

  9. |{:(5^2,5^3,5^4),(5^1,5^2,5^3),(5^3,5^4,5^4):}|=.......

    Text Solution

    |

  10. If D1=|{:(1,yz,x),(1,zx,y),(1,xy,z):}|and D2=|{:(1,1,1),(x,y,z),(x^2,y...

    Text Solution

    |

  11. If ane0,bne0,cne0 and |{:(0,x^2+a,x^4+b),(x^2-a,0,x-c),(x^3-b,x^2+c,0)...

    Text Solution

    |

  12. If x,y,z in R. xgtygtz and D= |{:((x+1)^2,(y+1)^2,(z+1)^2),(x,y,z),(...

    Text Solution

    |

  13. If A = [( 1, cos theta , 1,),( - cos theta ,1,cos theta ),( -1 , - cos...

    Text Solution

    |

  14. If |{:(a,b,ax+by),(b,c,bx+cy),(ax+by,bx+cy,0):}|=0 and ax^2+2abxy+cy^2...

    Text Solution

    |

  15. If |{:(1,2,5),(1,x,5),(3,-1,2):}|=0 then x = ………

    Text Solution

    |

  16. Solve that |{:(1+x,1-x,1-x),(1-x,1+x,1-x),(1-x,1-x,1+x):}|=0

    Text Solution

    |

  17. If |{:(x,-6,-1),(2,-3x,x-3),(-3,2x,x+2):}|=0 then x = ……..

    Text Solution

    |

  18. |{:(sqrt(14)+sqrt3,sqrt(20),sqrt5),(sqrt(15)+sqrt(28),sqrt(25),sqrt(10...

    Text Solution

    |

  19. If |{:(a,b,ax+b),(b,c,bx+c),(ax+b,bx+c,0):}|'=0 then "a,b,c are in" .....

    Text Solution

    |

  20. |{:(sin35^@,-cos35^@),(sin55^@,cos55^@):}|=.........

    Text Solution

    |