Home
Class 12
MATHS
If f is twice differentiable function fo...

If `f` is twice differentiable function for `x in R` such that `f(2)=5,f'(2)=8` and `f'(x) ge 1,f''(x) ge4` , then

A

`f(5) +f'(5 ) ge 28`

B

`f(5) le 10`

C

`f(5) +f'(5 ) le 26`

D

`f(5) +f'(5 ) le 20`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos
  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos

Similar Questions

Explore conceptually related problems

If f(x) is a twice differentiable function such that f(0)=f(1)=f(2)=0 . Then

If f(x) is a twice differentiable function and given that f(1)=2,f(2)=5 and f(3)=10 then

If f(x) is a twice differentiable function and given that f(1)=1,f(2)=4,f(3)=9, then

Let f be a twice differentiable function defined on R such that f(0) = 1, f'(0) = 2 and f '(x) ne 0 for all x in R . If |[f(x)" "f'(x)], [f'(x)" "f''(x)]|= 0 , for all x in R , then the value of f(1) lies in the interval:

If f(x) is a twice differentiable function such that f'' (x) =-f,f'(x)=g(x),h(x)=f^2(x)+g^2(x) and h(10)=10 , then h (5) is equal to

if f(x) be a twice differentiable function such that f(x) =x^(2) " for " x=1,2,3, then

Let f(x) be a non-constant twice differentiable function defined on (oo,oo) such that f(x)=f(1-x) and f'(1/4)=0^(@). Then

JEE MAINS PREVIOUS YEAR-JEE MAINS 2020-MATHEMATICS
  1. The following statement (pvecq)vec[(~ pvecq)vecq] is: equivalent t...

    Text Solution

    |

  2. If two vertical pale AB and CD of height 15 m and 10 m and A and C are...

    Text Solution

    |

  3. If f is twice differentiable function for x in R such that f(2)=5,f'(2...

    Text Solution

    |

  4. sum(r=0)^(20).^(50-r)C6

    Text Solution

    |

  5. If A=[{:(Costheta ,isintheta),("isintheta,costheta):}],(theta=pi/24)an...

    Text Solution

    |

  6. If alpha and beta are roots of x^2-3x+p=0 and gamma and delta are the ...

    Text Solution

    |

  7. Let x^2/a^2+y^2/b^2=1(agtb) be a given ellipse, length of whose latus...

    Text Solution

    |

  8. A triangle ABC laying in the first quadrant has two vertices as A(1 , ...

    Text Solution

    |

  9. If from point P(3,3) on the hyperbola a normal is drawn which cuts x-a...

    Text Solution

    |

  10. The integral int((X)/(xsinx + cosx))^2dx is equal to (where C is a c...

    Text Solution

    |

  11. Let f(x) =intsqrtx/((1+x)^2)dx(xge0) . The f(3) - f(1) is equal to :

    Text Solution

    |

  12. If u=(2z+i)/(z-ki) where z=x+iy and k gt 0 Curve Re(u)+Im(u)= cuts y...

    Text Solution

    |

  13. Let x0 be the point of local maxima of f(x)= veca.(vecbxxvecc), where ...

    Text Solution

    |

  14. Let [t] denote the greatest integer st. Then the equation in x,[x]^2+2...

    Text Solution

    |

  15. xy'-y=x^2(xcosx+sinx) and if f(pi)=pi then find f''(pi/2)+f(pi/2)=

    Text Solution

    |

  16. If f(x)=|x-2|, x in [0,4] and g(x)=f(f(x)). Find int2^3 (g(x)-f(x))dx.

    Text Solution

    |

  17. If (2x^2+3x+4)^(10)=sum(r=0)^(20) ar x^r, then (a7)/(a(13)=

    Text Solution

    |

  18. If the equation of a plane P , passing through in the intersection of ...

    Text Solution

    |

  19. If probability of hitting a target is 1/10, Then number of shot requir...

    Text Solution

    |

  20. Let f: R rarr R be a differentiable function satisfying f(x+y)=f(x)+f(...

    Text Solution

    |