Home
Class 12
MATHS
Let f(x) =|{:(x^(3), sinx,cosx),(6,-1,0)...

Let f(x) =`|{:(x^(3), sinx,cosx),(6,-1,0),(p,p^(2),p^(3)):}|` where p is a constant. Then `d^(3)/dx^(3){f(x)}` at x=0 is

A

p

B

0

C

`p+p^3`

D

independent of p

Text Solution

Verified by Experts

The correct Answer is:
B, D
Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    FIITJEE|Exercise EXERCIESE 1|3 Videos

  • DETERMINANT

    FIITJEE|Exercise EXERCIESE 2|2 Videos

  • DETERMINANT

    FIITJEE|Exercise SOLVED PROBLEMS (SUBJECTIVE)|7 Videos

  • DEFINITE INTEGRAL

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • ELLIPSE

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

Similar Questions

Explore conceptually related problems

If f(x)=|{:(x^(3),x^(4),3x^(2)),(1,-6,4),(p,p^(2),p^(3)):}| , where p is a constant, then (d^(3))/(dx^(3))(f(x)) , is

Let f(x)=|[x^3,sinx,cosx],[6,-1, 0],[p, p^2,p^3]|,w h e r ep is a constant. Then (d^3)/(dx^3)(f(x)) at x=0 is (a)p (b) p-p^3 (c)p+p^3 (d) independent of p

Cosider the function f(x)=|{:(x^(3),sin x,cos x),(6,-1,0),(p,p^(2),p^(3)):}| , where p is a constant. What is the value of f'(0) ?

Consider the function f(x)=|{:(x^(3),sinx,cosx),(6,-1,0),(p,p,p^(3)):}| where p is a constant. What is the value of f'(0) ?

Cosider the function f(x)=|{:(x^(3),sin x,cos x),(6,-1,0),(p,p^(2),p^(3)):}| , where p is a constant. What is the value of p for which f''(0) = 0 ?

Consider the function f(x)=|{:(x^(3),sinx,cosx),(6,-1,0),(p,p^2,p^(3)):}| where p is a constant. What is the value of p for which f''(0)=0 ?

Consider the function f(x) = |(x^3,sinx,cosx),(6,-1,0),(p,p^2,p^3)|, where p is constant. What is the value of f'(0) ? What is the value of p for which f''(0)=0

FIITJEE-DETERMINANT-SOLVED PROBLEMS (OBJECTIVE)
  1. If a,b,c be the pth, qth and rth terms respectively of a H.P., the |(b...

    Text Solution

    |

  2. The system of equations x+2y +3z =4, 2x+3y+4z=5,3x+4y+5z=6 has

    Text Solution

    |

  3. There are three points (a,x) ,(b,y) and (c,z) such that the straight l...

    Text Solution

    |

  4. The det Delta=|{:(d^2+r,de,df),(de,e^2+r,ef),(df,ef,f^2+r):}| is divis...

    Text Solution

    |

  5. If x,y and z are the integers in AP lying between 1 and 9 and x 51, ...

    Text Solution

    |

  6. Let f(x) =|{:(x^(3), sinx,cosx),(6,-1,0),(p,p^(2),p^(3)):}| where p is...

    Text Solution

    |

  7. The parameter on which the value of the determinant |1a a^2"cos"(p-d)x...

    Text Solution

    |

  8. A 3xx3 determinant has entries either 1 or -1. Let S(3)= set of all ...

    Text Solution

    |

  9. A 3 xx 3 determinant has its entries 1 or-1 . The number of such deter...

    Text Solution

    |

  10. A 3xx3 determinant has entries either 1 or -1. Let S(3)= set of all ...

    Text Solution

    |

  11. Consider the determinant, Delta=|(p,q,r),(x,y,z),(l,m,n)| . M(ij) d...

    Text Solution

    |

  12. Consider the determinant, Delta=|(p,q,r),(x,y,z),(l,m,n)| . M(ij) d...

    Text Solution

    |

  13. Statement -1 : Let a,b,c are the sides of a DeltaABC such that |{:(a,a...

    Text Solution

    |

  14. The value of |(.^(10)C(4).^(10)C(5).^(11)C(m)),(.^(11)C(6).^(11)C(7).^...

    Text Solution

    |

  15. Let f(x) =|(x,1,1), (sin2pix, 2x^2,1), (x^3,3x^4,1)|. If f(x) be an od...

    Text Solution

    |

  16. If a,b, and c be non-zero real numbers such that |{:(1+a,1,1),(1,1+b...

    Text Solution

    |

  17. Let A and B be two matrices (neither null nor singular ) with real ent...

    Text Solution

    |

  18. Which of the following options is the only correct combination ?

    Text Solution

    |

  19. Which of the following options is the only correct combination ?

    Text Solution

    |

  20. Which of the following options is the only correct combination ?

    Text Solution

    |