Home
Class 12
MATHS
If f(x),g(x) be twice differentiable fun...

If f(x),g(x) be twice differentiable function on [0,2] satisfying f''(x)=g''(x) , f'(1)=4 and g'(1)=6,f(2)=3,g(2)=9,then f(x)-g(x) at x=4 equals to:- (a) `-16` (b) `-10` (c) `-8`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If f(x),g(x) be twice differentiable functions on [0,2] satisfying f''(x)=g''(x)f'(1)=2g'(1)=4 and f(2)=3g(2)=9 then f(x)-g(x) at x=4 equals (A) 0 (B) 10 (C) 8 (D) 2

Let f(x)and g(x) be twice differentiable functions on [0,2] satisfying f''(x)=g''(x) , f'(1)=4 , g'(1)=6 , f(2)=3 and g(2)=9 . Then what is f(x)-g(x) at x=4 equal to ?

f(x) and g(x) are two differentiable functions in [0,2] such that f(x)=g(x)=0,f'(1)=2,g'(1)=4,f(2)=3,g(2)=9 then f(x)-g(x) at x=(3)/(2) is

f(x) and g(x) are two differentiable functions in [0,2] such that f(x)=g(x)=0,f'(1)=2,g'(1)=4,f(2)=3,g(2)=9 then f(x)-g(x) at x=(3)/(2) is

If f (x) and g (x) are twice differentiable functions on (0,3) satisfying, f ''(x) = g'' (x), f '(1) =4, g '(1) =6,f (2) = 3, g (2)=9, then f (1) -g (1) is

RESONANCE DPP-JEE MAINS-All Questions
  1. If vec a= hat i+ hat j+ hat k& vec b= hat i-2 hat j+ hat i , then the...

    Text Solution

    |

  2. If A^2+A+I=0 , then A is non-singular A!=0 (b) A is singular A^(-...

    Text Solution

    |

  3. If f(x),g(x) be twice differentiable function on [0,2] satisfying f''(...

    Text Solution

    |

  4. Let A=[1 0 1 1] . Then which of following is/are true? a. ("lim")(n-...

    Text Solution

    |

  5. The set of values of lambda for which the vectors vec a=(lambda(log)2...

    Text Solution

    |

  6. If z1,z2,z3,z4 be the vertices of a parallelogram taken in anticlockwi...

    Text Solution

    |

  7. If z1, z2, z3 are distinct nonzero complex numbers and a ,b , c in R...

    Text Solution

    |

  8. Consider I1=int0^(pi/4)e^x^2dx ,I2=int0^(pi/4)e^x dx ,I3=int0^(pi/4)e^...

    Text Solution

    |

  9. (lim)(xvec0)(s in x^4-x^4cos x^4)/(x^4(e^(2x)^4-1-2x^4)) 1/3 b. 1/2 c...

    Text Solution

    |

  10. If An=int0^(pi/2)(sin(2n-1)x)/(s in x)"dx";"B""n"=int0^("pi"/2)(("s i ...

    Text Solution

    |

  11. If A , B ,C are angles of a triangles, then the value of |[e^(2i A),...

    Text Solution

    |

  12. Sum of all the solutions of the equation : tan^2 33x = cos2x - 1 which...

    Text Solution

    |

  13. Statement-1 : Let z be a complex number satisfying |z-3|lt=|z-1|,|z-3|...

    Text Solution

    |

  14. If 0ltaltbltc and the roots alpha,beta of equation a="" x^2+b="" x+c="...

    Text Solution

    |

  15. If a^2+b^2=1 t h e n (1+b+i a)/(1+b-i a)= 1 b. 2 c. b+i a d. a+...

    Text Solution

    |

  16. The graph of the function y=cos xcos(x+2)-cos^2(x+1) is: (A) &n...

    Text Solution

    |

  17. If in a triangle A B C ,(a+b+c)(b+c-a)=kdotb c ,t h e n : k<0 b. k >6...

    Text Solution

    |

  18. A round balloon of radius r subtends an angle alpha at the eye of the ...

    Text Solution

    |

  19. If f^(prime)(1)=-2sqrt(2)a n dg^(prime)(sqrt(2))=4 , then the derivati...

    Text Solution

    |

  20. Let an be the n^(t h) term of an A.P. If sum(r=1)^(100)a(2r)=alpha&su...

    Text Solution

    |