Home
Class 12
MATHS
If a^(2)+b^(2)+c^(2)=-2 and |{:(1+a^...

If `a^(2)+b^(2)+c^(2)`=-2 and
`|{:(1+a^(2)x,(1+b^(2))x,(1+c^(2))x),((1+a^(2))x,1+b^(2)x,(1+c^(2))x),((1+a^(2))x,(1+b^(2))x,(1+c^(2))x):}|` then f(x) is a polynomial of degree

A

`3`

B

`2`

C

`1`

D

`0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|18 Videos

  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|15 Videos

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|18 Videos

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |16 Videos

Similar Questions

Explore conceptually related problems

If a^(2)+b^(2)+c^(2) =-2 and f(x)= |{:(1+a^(2)x,(1+b^(2))x,(1+c^(2))x),((1+a^(2))x,1+b^(2)x,(1+c^(2))x),((1+a^(2))x,(1+b^(2))x,1+c^(2)x):}| the f(x) is a polynomial of degree

If a^(2)+b^(2)+c^(2) =-2 and f(x)= |{:(1+a^(2)x,(1+b^(2))x,(1+c^(2))x),((1+a^(2))x,1+b^(2)x,(1+c^(2))x),((1+a^(2))x,(1+b^(2))x,1+c^(2)x):}| then f(x) is a polynomial of degree

If a^(2) + b^(2) + c^(2) = -2 and f(x) = |(1 + a^(2)x,(1 + b^(2))x,(1 + c^(2)) x),((1 + a^(2))x,1 + b^(2)x,(1 + c^(2))x),((1 + a^(2)) x,(1 + b^(2))x,1 + c^(2)x)| , then f(x) is a polynomial of degree

If a^2+b^2+c^2=-2a n df(x)= |a+a^2x(1+b^2)x(1+c^2)x(1+a^2)x1+b^2x(1+c^2)x(1+a^2)x(1+b^2)x1+c^2x| , then f(x) is a polynomial of degree 0 b. 1 c. 2 d. 3

If a^2+b^2+c^2=-2\ a b n df(x)=|1+a^xx(1+b^2)x(1+c^2)x(1+a^2)x1+b^2x(1+c^2)x(1+a^2)x(1+b^2)x1+c^2x| , then f(x) is a polynomial of degree- a. 2 b. \ 3 c. \ 0 d. 1

prove that |{:((a-x)^(2),,(a-y)^(2),,(a-z)^(2)),((b-x)^(2),,(b-y)^(2),,(b-z)^(2)),((c-x)^(2),,(c-y)^(2),,(c-z)^(2)):}| |{:((1+ax)^(2),,(1+bx)^(2),,(1+cx)^(2)),((1+ay)^(2),,(1+by)^(2),,(1+cy)^(2)),((1+az)^(2),,(1+bx)^(2),,(1+cz)^(2)):}| =2 (b-c)(c-a)(a-b)xx (y-z) (z-x)(x-y)

MCGROW HILL PUBLICATION-DETERMINANTS-QUESTIONS FROM PREVIOUS YEARS AIEEE/JEE MAIN PAPERS
  1. If the system of linear equations x+2ay +az =0,x+3by+bz =0 and x+4cy ...

    Text Solution

    |

  2. If a(1),a(2),a(3),……….a(n) ………… are in G.P and a(i) gt 0 then the va...

    Text Solution

    |

  3. If a^(2)+b^(2)+c^(2)=-2 and |{:(1+a^(2)x,(1+b^(2))x,(1+c^(2))x),((...

    Text Solution

    |

  4. The value of |alpha| for which the system of equation alphax+y+z=...

    Text Solution

    |

  5. If D = |(1,1,1),(1,1 +x,1),(1,1,1 +y)| " for " x!= 0, y != 0, then D i...

    Text Solution

    |

  6. Let a,b and c be such that (b+c) ne 0 . If |(a,a+1,a-1),(-b,b+1,b-1)...

    Text Solution

    |

  7. If a, b, c are positive and unequal, show that value of the determinan...

    Text Solution

    |

  8. Statement 1: The system of linear equations x|(sinalpha)y+(cos alpha...

    Text Solution

    |

  9. If alpha,beta!=0 , and f(n)""=alpha^n+beta^n and |3 1+f(1)1+f(2)1+f(1)...

    Text Solution

    |

  10. If a , b , c are non-zero real numbers and if the system of equations ...

    Text Solution

    |

  11. Let fori 1, 2, 3, pi(x) be a polynomial ofdegree 2 in x1 pi (x) and ...

    Text Solution

    |

  12. If |(a^(2),b^(2),c^(2)),((a+lamda)^(2),(b+lamda)^(2),(c+lamda)^(2)),...

    Text Solution

    |

  13. If Deltar=|(r,2r-1,3r+2),(n/2,n-1,a),(1/2n(n-1),(n-1)^2,1/2(n-1)(3n+4...

    Text Solution

    |

  14. The set of all values of lambda for which the system of linear equat...

    Text Solution

    |

  15. If |(x^2+x,x+1,x-2),(2x^2+3x-1,3x,3x-3),(x^2+2x+3,2x-1,2x-1)|=ax-12 t...

    Text Solution

    |

  16. The least value of the product xyz for which the determinant |(x,1,1)...

    Text Solution

    |

  17. The system of linear equations x + lambda y-z =0, lambdax-y -z =0, x...

    Text Solution

    |

  18. The number of distinct real roots of the equation, |(cos x, sin x , si...

    Text Solution

    |

  19. If S is the set of distinct values of ' b for which the following syst...

    Text Solution

    |

  20. Let omega be a complex number such that 2omega+1=z where z=sqrt(-3). I...

    Text Solution

    |