Home
Class 12
MATHS
If a, b, c are in G.P then the value of ...

If `a, b, c` are in G.P then the value of the determinant `Delta= [[a, b, ax+by],[b ,c ,b x+c y],[a x+b y, b x+c y, 0]]` is

A

1

B

0

C

`-1`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    HIMALAYA PUBLICATION|Exercise Question Bank|97 Videos

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

Similar Questions

Explore conceptually related problems

If a, b, c be in A.P, then a x+b y+c=0 represents

The value of determinant |(a-b ,b+c,a),(b-a,c+a,b),(c-a,a+b,c)| is

If, a,b,c are positive and unequal,show that value of the determinant Delta ={:[( a,b,c),( b,c,a),( c,a,b)]:} is negative

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

The value of determine |{:(a-b,b+c,a),(b-a,c+a,b),(c-a,a+b,c):}| is

If a, b, c are different, then value of x satisfying the equation |{:( 0 , x^(2) - a , x^(3) - b) , (x^(2) + a , 0 , x^(2) + c), (x^(4) + b , x- c , 0):}|=0 is

If a, b, c are in GP and a + x, b + x, c + x are in HP, then the value of x is (a, b, c are distinct numbers)

If Delta= |[0,b-a,c-a],[a-b,0,c-b],[a-c,b-c,0]| then Delta=

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. If x, y, z being positive |[1, log x y,log x z],[log y x,1,log y z],[l...

    Text Solution

    |

  2. If Dr= |[2^r-1,2 . 3^(r-1), 4 . 5^(r-1)],[alpha ,beta, gamma],[2^(n-1)...

    Text Solution

    |

  3. If a, b, c are in G.P then the value of the determinant Delta= [[a, b,...

    Text Solution

    |

  4. The determinant: |(xp+y,x,y),(yp+z,y,z),(0,xp+y,yp+z)|=0 if :

    Text Solution

    |

  5. The parameter on which the value of the determinant |[1, a, a^2],[...

    Text Solution

    |

  6. Let omega=-(1)/(2)+i (sqrt(3))/(2), then the value of [[1,1,1],[1,-...

    Text Solution

    |

  7. l,m,n are the pth , qth rth terms of a G.P. (all positive) , then |(lo...

    Text Solution

    |

  8. If a gt 0 and discriminant of ax^2+2bx+c is negative, then : Delta=|(...

    Text Solution

    |

  9. If 1, omega, omega^(2) are the cube roots of unity, then [[1, omega^...

    Text Solution

    |

  10. The determinant : |(cos(alpha+beta),-sin(alpha+beta),cos2beta),(sinalp...

    Text Solution

    |

  11. If a(1), a(2), a(3)"….." are in G.P. , then the value of Delta= |{:(lo...

    Text Solution

    |

  12. If D= |[1,1,1],[1,1+x, 1],[1,1,1+y]| for x ne 0, y ne 0 then D is

    Text Solution

    |

  13. If alpha=omega,b=omega^2,c=i, then the value of : |(a,a+2b,a+2b+3c)...

    Text Solution

    |

  14. The value of Delta=|(1^2,2^2,3^2),(2^2,3^2,4^2),(3^2,4^2,5^2)| is :

    Text Solution

    |

  15. If a=1+2+4+ . . . . upto n terms b=1+3+9+. . . . upto n terms c=1+5...

    Text Solution

    |

  16. If |[x-2,2x-3,3x-4],[x-4,2x-9,3 x-16],[x-8,2x-27,3 x-64]|=0 then x=

    Text Solution

    |

  17. If a, b, c, d, e and f are in G.P, then the value of |[a^2,d^2,x],[b^...

    Text Solution

    |

  18. The value of the determinant : Delta=|(a^2,a,1),(cosnx,cos(n+1)x,co...

    Text Solution

    |

  19. If a, b, c are all different from zero and Delta= |[1+a,1,1],[1,1+b,1]...

    Text Solution

    |

  20. |[x,1,y+z],[y,1,z+x],[z,1,x+y]|=

    Text Solution

    |