Home
Class 12
MATHS
If the function f(x) stisfies the condit...

If the function f(x) stisfies the conditions of Rolle's theorem in [1, 2] and f'(x) is continuous in [1, 2], then `int_(1)^(2)f'(x)dx` is equal to -

A

3

B

1

C

2

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 2|80 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 3|80 Videos
  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

If the function f(x) satisfies the condition f(x + 1/x) = x^2 + 1/x^2,x ne 0 then f(x) is

If f(2a-x)=-f(x) then int_(0)^(2a)f(x)dx is equal to-

If f(x) satisfies the condition of Rolle's theorem in [1,2] , then int_1^2 f'(x) dx is equal to (a) 1 (b) 3 (c) 0 (d) none of these

If f(x)=x+sinx , then int_(pi)^(2pi)f^(-1)(x)dx is equal to

If int f(x) dx=f(x) , then int {f(x)}^(2)dx is equal to -

If the function f(x)=4x^(3)+ax^(2)+bx-1 satisfies all the conditions of Rolle's theorem in -(1)/(4) le x le 1 and if f'((1)/(2))=0 , then the values of a and b are -

If the function f(x)=a x^3+b x^2+11 x-6 satisfies conditions of Rolles theorem in [1,3] and f'(2+1/(sqrt(3)))=0, then values of a and b , respectively, are

A single valued function f(x) of x defined in [a, b] satisfies the following conditions : (i) f(x) is continuous in [a, b] (ii) f'(x) exists in (a, b) (iii) f(a)=f(b) Then, Rolle's theorem is applicable to f(x), if -

Let f: R->R be a continuous function and f(x)=f(2x) is true AAx in R . If f(1)=3, then the value of int_(-1)^1f(f(x))dx is equal to

A real valued function f(x) stisfies the functional relation f(x-y)=f(x)f(y)-f(a-x)f(a+y) where a is a given constant and f(0)=1. Then, f(2a-x) is equal to -

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 7
  1. If the function f(x) stisfies the conditions of Rolle's theorem in [1,...

    Text Solution

    |

  2. The inverse of the matrix [(1, 0,0),(a,1,0),(b,c,1)] is -

    Text Solution

    |

  3. If A=|a(ij)| and A(ij) denotes the cofactor of a(ij), then which of th...

    Text Solution

    |

  4. The minors of (-4) and 9 and the cofactors of (-4) and 9 in matrix [(...

    Text Solution

    |

  5. If |(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|=0 then the value of x is -

    Text Solution

    |

  6. If the system of equations x+y+z=6, x+2y+kz=0 and x+2y+3z=10 has no so...

    Text Solution

    |

  7. If A=[(-i,0),(0,i)] then A^(T)A is equal to -

    Text Solution

    |

  8. If A=[(0,3),(4,5)] and kA=[(0,4a),(3b,60)], then the values of k, a an...

    Text Solution

    |

  9. The value of the determinant |(1,a,a^(2)-bc),(1,b,b^(2)-ca),(1,c,c^(2)...

    Text Solution

    |

  10. If the matrix A stisfies the equation [(1,3),(0,1)]*A=[(1,1),(0,-1)],...

    Text Solution

    |

  11. For any matrix A, if A^(-1) exists then which of the following is not ...

    Text Solution

    |

  12. If a(1), a(2), a(3)…, a(n) are in G.P., then the value of the determin...

    Text Solution

    |

  13. The value of the determinant |((10)!,(11)!,(12)!),((11)!,(12)!,(13)!),...

    Text Solution

    |

  14. If C is the midpoint of AB and P is any point outside AB, then which o...

    Text Solution

    |

  15. The position vectors of the points A, B, C are (hati-3hatj-5hatk),(2h...

    Text Solution

    |

  16. If N be the set of natural numbers and and N(a)={an :n in N} then N(5)...

    Text Solution

    |

  17. If the function f: R to R is defined by f(x)=x^(2)-6x-14, then f^(-1)(...

    Text Solution

    |

  18. Let f:R to R be defined by f(x)=x^(2) and g:R to R be defined by g(...

    Text Solution

    |

  19. If f:R to S is defined by f(x)=sinx-sqrt(3)cosx+1 is onto, then the in...

    Text Solution

    |

  20. If (x^(3))/((2x-1) (x+2) (x-3))=A+ (B)/(2x-1) +(C )/(x+2) + (D)/(x-3),...

    Text Solution

    |

  21. The value of ["tan"^(-1)(m)/(n)-tan^(-1)((m-n)/(m+n))] is -

    Text Solution

    |