Home
Class 12
MATHS
The value of determinant |(a-b ,b+c,a)...

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

A

1.`a^(3)+b^(3)+c^(3)`

B

2.3abc

C

3.`a^(3)+b^(3)+c^(3)-3abc`

D

4.`a^(3)+b^(3)+c^(3)+3abc`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • K-CET-MATHEMATICS - 2014

    SUNSTAR PUBLICATION|Exercise MCQs|59 Videos
  • K-CET-MATHEMATICS -2019

    SUNSTAR PUBLICATION|Exercise MCQs|58 Videos

Similar Questions

Explore conceptually related problems

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

|(a - b, b-c,c-a),(b-c,c-a,a-b),(c-a,a-b,b-c)|=0

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

The value of the determinant {:abs((1,a,b+c),(1,b,c+a),(1 , c,a+b)):} is

The determinant |(b^2-ab,b-c,-ac),(ab-a^2,a-b,b^2-ab),(bc-ac,c-a,ab-a^2)| equals :

|(a,b,c),(b,c,a),(c,a,b)| =

Prove that |(b+c,a,a),(b,c+a,b),(c,c,a+b)|= 4ac

Using the factor theorem it is found that b + c , c + a and a + b are three factors of the determine : |(-2a,a+b,a+c),(b+a,-2b,b+c),(c+a,c+b,-2c)| . The other factor in the value of the determine is :

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

SUNSTAR PUBLICATION-K-CET-MATHEMATICS -2018-MULTIPLE CHOICE QUESTIONS
  1. If A=[(cos alpha, sin alpha),(-sin alpha, cos alpha)], then verify tha...

    Text Solution

    |

  2. If x,y,z in R, then the value of determinant |((5^(x)+5^(-x))^(2) , ...

    Text Solution

    |

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

    Text Solution

    |

  4. If (x(1),y(1)),(x(2),y(2)) and (x(3),y(3)) are the vertices of a trian...

    Text Solution

    |

  5. Let A be a square matrix of order 3xx3" then "|5A|=

    Text Solution

    |

  6. If f(x)={((sqrt(1+kx)-sqrt(1-kx))/x),((2x+1)/(x-1)):} if -1lexlt0 is c...

    Text Solution

    |

  7. If cosy=xcos(a+y)" with "cosa!= +-1, then dy/dx is equal to

    Text Solution

    |

  8. If f(x)=|cosx-sinx|," then "f^(1)(pi/6) is equal to

    Text Solution

    |

  9. If y=sqrt(x+sqrt(x+sqrt(x+............oo))), m then dy/dx=

    Text Solution

    |

  10. if f(x)={((log(e)x)/(x-1),,,x!=1),(k,,, x=1):} is continuous at x=1, t...

    Text Solution

    |

  11. Approximate change in the volume V of a cube of side x metres caused b...

    Text Solution

    |

  12. The maximum value of (1/x)^(x) is

    Text Solution

    |

  13. f(x)=x^(x) has a stationary point at :

    Text Solution

    |

  14. The maximum area of a rectangle inscribed in the circle (x+1)^(2)+(y-3...

    Text Solution

    |

  15. int1/(1+e^(x))dx is equal to

    Text Solution

    |

  16. int1/(sqrt(3-6x-9x^(2)))dx is equal to

    Text Solution

    |

  17. int" e"^(sinx).((sinx+1)/(secx))dx is equal to

    Text Solution

    |

  18. int(-2)^2 |x cos pi x|dx is equal to :

    Text Solution

    |

  19. int(0)^(1)(dx)/(e^(x)+e^(-x)) is equal to

    Text Solution

    |

  20. int(0)^(1//2)(dx)/((1+x^(2))sqrt(1-x^(2))) is equal to

    Text Solution

    |