Home
Class 11
MATHS
The values of ba n dc for which the iden...

The values of `ba n dc` for which the identity of `f(x+1)-f(x)=8x+3` is satisfied, where `f(x)=b x^2+c x+d ,a r e` `b=2,c=1` (b) `b=4,c=-1` `b=-1, c=4` (d) `b=-1,c=1`

A

`b =2,c=1`

B

`b=4,c =-1`

C

`b=-1, c=4`

D

`b=-1, c=1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos
  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|83 Videos
  • PROBABILITY

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos
  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

Similar Questions

Explore conceptually related problems

The values of b and c for which the identity of f(x+1)-f(x)=8x+3 is satisfied,where f(x)=bx^(2)+cx+d, are b=2,c=1 (b) b=4,c=-1b=-1,c=4(d)b=-1,c=1

If f(x) =ax^(2) + bx + c satisfies the identity f(x+1) -f(x)= 8x+ 3 for all x in R Then (a,b)=

If f'(c)=(f (b)-f(a))/(b-a) , where f(x) =e^(x), a=0 and b=1 , then: c = ….

The values of the constants a , ba n dc for which the function f(x)={(1+a x)^(1//x)b ,x 0x=0 may be continuous at x=0, are a=(log)_e(2/3),b=-2/3,c=1 a="log")e (2/3),b2/3,c=-1 a=(log)_e(2/3),b=2/3,c=1 (d) none of these

The number of points at which g(x)=(1)/(1+(2)/(f(t))) is not differentiable,where f(x)=(1)/(1+(1)/(x)), is 1 b.2 c.3d.4

f(x)={(x-4)/(|x-4|a+b)+a,x 0 Then,f(x) is continuous at x=4 when (a) a=0,b=0 (b) a=1,b=1(c)a=-1,b=1(d)a=1,b=-1

The value of f(1) so that the function f(x)=(1-cos(1-cos x))/(x^(4)) is continuous everywhere is (A) (1)/(2)(B)(1)/(4)(C)(1)/(8)(D)2

If x!=1\ a n d\ f(x)=(x+1)/(x-1) is a real function, then f(f(f(2))) is (a) 1 (b) 2 (c) 3 (d) 4

f(x)={(x-4)/(|x-4|)+a,x 4 Then f(x) is continous at x=4 when a.a=0,b=0 b.a=1,b=1 c.a=-1,b=1 d.a=1,b=-1

TARGET PUBLICATION-SETS, RELATIONS AND FUNCTIONS-COMPETITVE THINKING
  1. Let f : R to R satisfy f (x) (2) =4, then f ((1)/(2))=

    Text Solution

    |

  2. If f(x) = cos (log (e) x), then f (x) f(y) -1/2 [f(xy) +f((x)/(y))] ha...

    Text Solution

    |

  3. The values of ba n dc for which the identity of f(x+1)-f(x)=8x+3 is sa...

    Text Solution

    |

  4. Given the function f (x) =(a ^(x) + a ^(-x))/(2), a gt 2, then f (x+y)...

    Text Solution

    |

  5. If f(x) = log ((1+x)/(1-x)), then f((2x)/(1+x^(2))) is equal to

    Text Solution

    |

  6. If e^(f(x))=(10+x)/(10-x), x in (-10, 10) and f(x)=kf ((200x)/(100+x^(...

    Text Solution

    |

  7. If f(x) =cos [pi^(2)]x+ cos [-pi^(2)] x, where [x] denots the greatest...

    Text Solution

    |

  8. Prove that if f (x) is periodic function with period T, then the funct...

    Text Solution

    |

  9. If the graph of the function y = f(x) is symmetrical about the line x ...

    Text Solution

    |

  10. Let f {(1,1), (2,4), (0,-2), (-1,-5)} be a linear function from Z into...

    Text Solution

    |

  11. If f (x) =log ""(1+x)/(1-x) then-

    Text Solution

    |

  12. The real valued function f(x)=(a^x-1)/(x^n(a^x+1)) is even, then the v...

    Text Solution

    |

  13. The function f(x) = sec[log(x + sqrt(1+x^2))] is

    Text Solution

    |

  14. The function f(x)= sin | log (x+ sqrt(x^(2) +1)) | is-

    Text Solution

    |

  15. If f(x)+2f((1)/(x))=3x, x ne 0 and S={x in R: f(x) = f(-x)}, " then ...

    Text Solution

    |

  16. If [x] denotes the greatest integer le x, then [(2)/(3)]+[(2)/(3)+(1)/...

    Text Solution

    |

  17. f(x)=cos^(2)x+cos^(2)(pi/3+x)-cosx*cos(x+pi/3) is

    Text Solution

    |

  18. If y=f(x)=((x+2))/((x-1)),t h e n x=f(y) (b) f(1)=3 y increases wit...

    Text Solution

    |

  19. If g (y) is inverse of function f :R to R given by f (x)=x+3, then g (...

    Text Solution

    |

  20. If f:R to R is defined by f(x)=|x|, then

    Text Solution

    |