Home
Class 12
MATHS
The value of the determinant |((1)/(a),...

The value of the determinant `|((1)/(a),1,bc),((1)/(b),1,ca),((1)/(c),1,ab)|` is -

A

0

B

abc

C

`(a-b)(b-c)(c-a)`

D

`(1)/(abc)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 5|80 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 6|80 Videos
  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

The value of the determinant |(1+a,1,1),(1,1+b,1),(1,1,1+c)| is -

If C=2cos theta , then the value of the determinant D=|(C,1,0),(1,C,1),(6,1,C)| is -

If the value of the determinant |(a,1, 1) (1,b,1) (1,1,c)| is positive then a. a b c >1 b. a b c> -8 c. a b c -2

The value of the determinant |(1+a^(2)-b^(2),2ab,-2b),(2ab,1-a^(2)+b^(2),2a),(2b,-2a,1-a^(2)-b^(2))| is equal to

The value of the determinant |{:(1,,1,,1),(.^(m)C_(1),,.^(m+1)C_(1),,.^(m+2)C_(1)),(.^(m)C_(2),,.^(m+1)C_(2),,.^(m+2)C_(2)):}| is equal to

the value of determinant |{:(1+alpha,1,1),(1, 1+beta,1),(1,1,1+gamma):}| is

Find the value of the determinant |(bc,ca, ab),( p, q, r),(1, 1, 1)|, where a ,b ,a n d c are respectively, the pth, qth, and rth terms of a harmonic progression.

If a^(2) + b^(2) + c^(2) + ab + bc + ca le 0 for all, a, b, c in R , then the value of the determinant |((a + b +2)^(2),a^(2) + b^(2),1),(1,(b +c + 2)^(2),b^(2) + c^(2)),(c^(2) + a^(2),1,(c +a +2)^(2))| , is equal to

|{:(1,a,bc),(1,b,ca),(1,c,ab):}|

Without expanding show that |[1/a,1,bc],[1/b,1,ca],[1/c,1,ab]|=0

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 8
  1. If C=2cos theta, then the value of the determinant D=|(C,1,0),(1,C,1)...

    Text Solution

    |

  2. If A=[(3,4),(5,7)], then the value of A(adjA) is equal to -

    Text Solution

    |

  3. The value of the determinant |((1)/(a),1,bc),((1)/(b),1,ca),((1)/(c),...

    Text Solution

    |

  4. If [(x+y,2x+z),(x-y,2z+w)]=[(4,7),(0,10)] then the values of x, y, z a...

    Text Solution

    |

  5. The matrix [(2,lambda,-4),(-1,3,4),(1,-2,-3)] is non-singular if -

    Text Solution

    |

  6. The domain of defination of the function f(x) =sqrt((sqrt(x+1))/(sqrtx...

    Text Solution

    |

  7. The period of the function sin^(4)x+cos^(4)x is -

    Text Solution

    |

  8. The range of the function f(x)=""^(9-x)P(x-1) is -

    Text Solution

    |

  9. Roots of the equation 3x^2 -6x+4=0 are alpha and beta then find the ...

    Text Solution

    |

  10. On a multiple choice examination with 4 possible answers for each of 6...

    Text Solution

    |

  11. The distance of the point (3, -4, 2) from the plane vecr*(3hati-6hatj+...

    Text Solution

    |

  12. The coordinates of the point where the line through the points (2, -3,...

    Text Solution

    |

  13. The equation of the plane passing through the point (1, -2, 3) and per...

    Text Solution

    |

  14. The acute angle between the straight lines whose direction numbers ar...

    Text Solution

    |

  15. The vector equation of the plane passing through the point (1, -1, 2) ...

    Text Solution

    |

  16. If the vectors veca= 3x hati+4y hatj-12hatk and vecb=3x hati-4y hatj+1...

    Text Solution

    |

  17. If veca, vecb, vec c are three mutually perpendicular vectors and |vec...

    Text Solution

    |

  18. Find the range of the function f(x) =abs(x - 1) + abs(x - 2) , -1 le x...

    Text Solution

    |

  19. In the mean value theorem f(b)-f(a)=(b-a)f'(c )(a lt c lt b), "if " a=...

    Text Solution

    |

  20. The value of lim(x to 0) (27^(x)-9^(x)-3^(x)+1)/(log(e)(1+(x^(2))/(2)...

    Text Solution

    |