Home
Class 14
MATHS
What is the determinant |(bc,a,a^(2)),(c...

What is the determinant `|(bc,a,a^(2)),(ca,b,b^(2)),(ab,c,c^(2))|` equal to ?

A

`|(1,a,a^(2)),(1,b,b^(2)),(1,c,c^(2))|`

B

`|(1,a^(2),a^(3)),(1,b_(2),b^(3)),(1,c^(2),c^(3))|`

C

`|(1,a,a^(3)),(1,b,b^(3)),(1,c,c^(3))|`

D

`|(1,a^(2),a^(3)),(1,b^(2),b^(3)),(1,c^(2),c^(3))|`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |55 Videos

  • DEFINITE INTEGRATION

    PUNEET DOGRA|Exercise PREVIOUS YEAR QUESTIONS |65 Videos

  • DIFFERENTIAL EQUATION

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |84 Videos

Similar Questions

Explore conceptually related problems

What is the determinant |{:(bc,a,a^(2)),(ca,a,b^(2)),(ab,c,c^(2)):}| equal to ?

The value of the determinant |{:(1,a, a^(2)-bc),(1, b, b^(2)-ca),(1, c, c^(2)-ab):}| is…..

What is the value of the determinant |(1,bc,a(b+c)),(1,ca,b(c+a)),(1,ab,c(a+b))| ?

Without expanding the determinant , prove that |{:(a, a^(2),bc),(b,b^(2),ca),(c,c^(2),ab):}|=|{:(1,a^(2),a^(3)),(1,b^(2),b^(3)),(1,c^(2),c^(3)):}|

The determinants |{:(1,a, bc),(1, b, ca),(1, c, ab):}| " and "|{:(1,a, a^(2)),(1, b, b^(2)),(1, c, c^(2)):}| are not identically equal.

The value of determinant |{:(a^(2),a^(2)-(b-c)^(2),bc),(b^(2),b^(2)-(c-a)^(2),ca),(c^(2),c^(2)-(a-b)^(2),ab):}| is

If a^(2) + b^(2) + c^(3) + 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

show that the determinant |{:(a^(2)+b^(2)+c^(2),,bc+ca+ab,,bc+ca+ab),(bc+ca+ab,,a^(2)+b^(2)+c^(2),,bc+ca+ab),(bc+ca+ab,,bc+ca+ab,,a^(2)+b^(2)+c^(2)):}| is always non- negative.

PUNEET DOGRA-DETERMINANTS -PREV YEAR QUESTIONS
  1. What is the determinant |(bc,a,a^(2)),(ca,b,b^(2)),(ab,c,c^(2))| equal...

    Text Solution

    |

  2. What is the value of determinant |(1!,2!,3!),(2!,3!,4!),(3!,4!,5!)| ?

    Text Solution

    |

  3. What are the values of x that satisfy equation |(x,0,2),(2x,2,1),(1,1,...

    Text Solution

    |

  4. The factor of the determinant |(x+a,b,c),(a,x+b,c),(a,b,x+c)| is

    Text Solution

    |

  5. If |(x,-3i,1),(y,1,i),(0,2i,-i)|=6+11i. then what are the value of x a...

    Text Solution

    |

  6. A is a square matrix of order 3 such that its determinant is 4. What i...

    Text Solution

    |

  7. If A is a square matrix of order n gt 1, then which one of the followi...

    Text Solution

    |

  8. Let A and B be (3 xx 3) matrices with det A = 4 and det B = 3 What i...

    Text Solution

    |

  9. Let A and B be (3 xx 3) matrices with det A = 4 and det B = 3 What i...

    Text Solution

    |

  10. If in a triangle ABC, |{:(1, sin A ,sin^(2)A),(1,sin B , sin^(2)B),(1,...

    Text Solution

    |

  11. Find the values of x,y,z if the matrix A=[(0,3y,z),(x,y,-z),(x,-y,z)] ...

    Text Solution

    |

  12. If u, v and w (all positive) are the pth, qth, and rth terms of a GP, ...

    Text Solution

    |

  13. If a + b + c = 0, then one of the solution of |(a-x,c,b),(c,b-x,a),(b,...

    Text Solution

    |

  14. Which one of the following factors does the expansions of the determin...

    Text Solution

    |

  15. The system of equation 2x + y - 3z = 5 3x - 2y + 2z = 5 5x - 3y ...

    Text Solution

    |

  16. The value of the determinants |("cos"^(2)(theta)/(2),"sin"^(2)(theta)/...

    Text Solution

    |

  17. The system of equation kx + y + z = 1, x + ky + z = k and x + y + kz =...

    Text Solution

    |

  18. If p + q + r = a + b + c = 0, then the determinant |(pa,qb,rc),(qc,ra,...

    Text Solution

    |

  19. The value of the determinant : |(1-alpha,alpha-alpha^(2),alpha^(2)),(1...

    Text Solution

    |

  20. If B is a non-singular matrix and A is a square matrix, then the value...

    Text Solution

    |

  21. What is the value of the determinant ? |(1,1,1),(1,1+xyz,1),(1,1,1+x...

    Text Solution

    |