Home
Class 11
MATHS
Let f(x)=ax^2+bx+c,g(x)=px^2+qx+r such t...

Let `f(x)=ax^2+bx+c,g(x)=px^2+qx+r` such that `f(1)=g(1),f(2)=g(2)and f(3)-g(3)=2`. Then `f(4)-g(4)` is

A

4

B

5

C

6

D

7

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|81 Videos

  • FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|66 Videos

Similar Questions

Explore conceptually related problems

f(x)=e^x.g(x) , g(0)=2 and g'(0)=1 then f'(0)=

Let f(x)=sqrt(x-2) , g(x)= sqrt(5-x) find f(x)+g(x), f(x)-g(x), f.g., (f/g)

If f(x)=e^xg(2x),g(0)=4 and g'(0) = 2 then f'(0) is equal to

If f(x) = ax + b and g(x) = cx + d, then f(g(x))=g(f(x)) implies

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

If f(x)=(a x^2+b)^3, then find the function g such that f(g(x))=g(f(x))dot

Let f(x)=sinx,g(x)=x^2 and h(x) = log x. If F(x)=(h(f(g(x)))) , then F'(x) 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

Let f be a differential function such that f(x)=f(2-x) and g(x)=f(1 +x) then (1) g(x) is an odd function (2) g(x) is an even function (3) graph of f(x) is symmetrical about the line x= 1 (4) f'(1)=0

If f(x)=x+1,g(x)=x^2+1 , then (f+g)/(fg) (0) =?

PATHFINDER-FUNCTION-QUESTION BANK
  1. Let f:NrarrR be such that f(1)=1and f(1)+2f(2)+3f(3)+......+nf(n)=n(n+...

    Text Solution

    |

  2. For the functionf(x)=[1/[[x]]] , where [x] denotes the greatest intege...

    Text Solution

    |

  3. Letf :(-pi/2,pi/2)rarrR be given by f(x)=(log)(secx+tan x))^3 Then

    Text Solution

    |

  4. If a in R and the equation -3(x-[x])^2+2(x-[x])+a^2=0 (where [x] deno...

    Text Solution

    |

  5. Let R be the set of all real numbers f:RrarrR be given by f(x)=3x^2+1....

    Text Solution

    |

  6. The function f(x)=x^2+bx+c, where b and c real constants , describes

    Text Solution

    |

  7. The range of the function y=(pi^2/16+x^2) is ?

    Text Solution

    |

  8. Letf(x)=2^100x+1,g(x)=3^100x+1 Then the set of real numbers x such tha...

    Text Solution

    |

  9. Which of the following real valued functions is/are not even functions...

    Text Solution

    |

  10. Letf:RrarrR be such that f is injective and f(x) f(y)=f(x+y) for all x...

    Text Solution

    |

  11. The function f[0,3]rarr[1,29], defined by f(x)=2x^3-15x^2+36x+1,is

    Text Solution

    |

  12. Let f(x)=ax^2+bx+c,g(x)=px^2+qx+r such that f(1)=g(1),f(2)=g(2)and f(3...

    Text Solution

    |

  13. The total number of infections (one-one into mappings) from {a1,a2,a3,...

    Text Solution

    |

  14. Let R be the set of real numbers and the functionsf:RrarrR and g:Rrarr...

    Text Solution

    |

  15. Letf(x)=x^2 and g(x)=sinx for all xIR then the set of all x satisfying...

    Text Solution

    |

  16. Letf:(0,1)rarrR be defined by f(x)=b-x/1-bx , where b is a constant su...

    Text Solution

    |

  17. The domain of the function f(x)=sin^-1((8(3)^(x-2))/(1-3^(2(x-1)))) is

    Text Solution

    |

  18. The domain of the function f(x)=1/sqrt(|x|-x) is

    Text Solution

    |

  19. The even function of the following is

    Text Solution

    |

  20. Iff(x+2y,x-2y)=xy, then f(x,y)is equal to

    Text Solution

    |