Home
Class 12
MATHS
f(x)=|(1,x,x+1),(2x,x(x-1),x(x+1)),(3x(x...

`f(x)=|(1,x,x+1),(2x,x(x-1),x(x+1)),(3x(x-1),x(x-1)(x-2),(x-1)x(x+1))|impliesf(2012)=`

A

0

B

1

C

`-500`

D

500

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C MCQ (INVERSE MATRIX)|88 Videos
  • MATRICES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D MCQ (LINEAR EQUATIONS)|53 Videos
  • MATRICES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A MCQ (ALGEBRA OF MATRICES)|135 Videos
  • MATHEMATICAL REASONING [APPENDIX - 4]

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|150 Videos
  • MEASURES OF DISPERSION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE-2 ( SET -4)|2 Videos

Similar Questions

Explore conceptually related problems

If f(x)=|(1,x,x+1),(2x,x(x-1),x(x+1)),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1))| then f(100)=

If f(x)=|(1,x,x^(2)),(x,x^(2),1),(x^(2),1,x)| then f(root(3)(2))=

f (x)= (1)/(1+ (1)/(x))g (x) =(1)/(1 + (1)/(f(x)))implies g'(2)=

(x^(2)+x+1)/((x-1)(x-2)(x-3))=A/(x-1)+B/(x-2)+C/(x-3) rArr A+C=

If f(x) = |(x,x^2,x^3),(1,2x,3x^2),(0,2,6x)| , then f^(1)(x)=

A(x)=|{:(x+1,2x+1,3x+1),(2x+1,3x+1,x+1),(3x+1,x+1,2x+1):}|" then "int_(0)^(1)A(x)dx=

DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1B MCQ (DETERMINANTS)
  1. If =sin px and y(n) is the nth derivative of y then |(y,y(1),y(2)),(y(...

    Text Solution

    |

  2. If F(alpha)=|(cos alpha, -sin alpha, 0),(sin alpha, cos alpha, 0),(0,0...

    Text Solution

    |

  3. f(x)=|(1,x,x+1),(2x,x(x-1),x(x+1)),(3x(x-1),x(x-1)(x-2),(x-1)x(x+1))|i...

    Text Solution

    |

  4. Let a,b, c be such that b(a+c)!=0. If |(a,a+1,a-1),(-b,b+1,b-1),(c,c-1...

    Text Solution

    |

  5. If alpha, beta ne 0 and f(n)=a^(n)+beta^(n) and |(3,1+f(1),1+f(2)),(1+...

    Text Solution

    |

  6. |(2bc-a^(2),c^(2),b^(2)),(c^(2),2ca-b^(2),a^(2)),(b^(2),a^(2),2abc-c^(...

    Text Solution

    |

  7. |(0,c,b),(-c,0,a),(b,a,0)|-|(b^(2)+c^(2),ab,ac),(ab,c^(2)+a^(2),bc),(a...

    Text Solution

    |

  8. Show that |{:(a,b,c),(b,c,a),(c,a,b):}|^2=|{:(2bc-a^(2),c^(2),b^(2)),(...

    Text Solution

    |

  9. Prove that |{:((1+ax)^(2),(1+ay)^(2),(a+az)^(2)),((1+bx)^(2),(1+by)^(2...

    Text Solution

    |

  10. A factor o |((a-x)^(2),(b-x)^(2),(c-x)^(2)),((a-y)^(2),(b-y)^(2),(c-y)...

    Text Solution

    |

  11. |(cos (alpha+beta),-sin (alpha+beta),cos 2 beta),(sin alpha, cos alpha...

    Text Solution

    |

  12. |(sin alpha, cos alpha, sin (alpha+delta)),(sin beta, cos beta, sin(be...

    Text Solution

    |

  13. |(cos alpha, sin alpha, cos (alpha+beta)),(- sin alpha, cos alpha, -si...

    Text Solution

    |

  14. |(0, sin alpha, sin beta),(sin alpha, 0, sin gamma),(sin beta, sin gam...

    Text Solution

    |

  15. A=[(1, cos (beta-alpha),cos(gamma-alpha)),(cos (alpha-beta), 1, cos(ga...

    Text Solution

    |

  16. If A+B+C=pi then |(sin^(2)A,cotA,1),(sin^(2)B,cotB,1),(sin^(2)C,cotC,1...

    Text Solution

    |

  17. If A,B,C are th angle of a equilateral DeltaABC, then |(sin2A,sinC,sin...

    Text Solution

    |

  18. For all values of A, B, C and P, Q, R |(cos(A-P), cos(A-Q),cos(A-R))...

    Text Solution

    |

  19. |(x^(3)+x,x+1,x-2),(2x^(3)+3x-1,3x,3x-3),(x^(3)+2x+3,2x-1,2x-1)|=xA+B ...

    Text Solution

    |

  20. If |(lamda^(2)+3lamda, lamda-1, lamda+3),(lamda+1, 2-lamda,lamda-4),(l...

    Text Solution

    |