Home
Class 12
MATHS
If for the function f(x)=1/4x^2+b x+10 ;...

If for the function `f(x)=1/4x^2+b x+10 ;f(12-x)=f(x)AAx in R ,` then the value of `' b '` is-

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If f(3x+2)+f(3x+29)=0 AAx in R , then the period of f(x) is

If (f(x))^(2)xxf((1-x)/(1+x))=64x AAx in D_(f), then The value of f(9//7) is

Let a function f(x)s a t i sfi e sf(x)+f(2x)+f(2-x)+f(1+x)=AAx in Rdot Then find the value of f(0)dot

Suppose f: R->R^+ be a differentiable function such that 3f(x+y)=f(x)f(y) AAx ,y in R with f(1)=6. Then the value of f(2) is a. 6 b. 9 c. 12 d. 15

If f(x)=4x-x^2, x in R , then write the value of f(a+1)-f(a-1)dot

Suppose f: RvecR^+ be a differentiable function such that 3f(x+y)=f(x)f(y)AAx ,y in R with f(1)=6. Then the value of f(2) is 6 b. 9 c. 12 d. 15

Let a function f(x) satisfies f(x)+f(2x)+f(2-x)+f(1+x)=x ,AAx in Rdot Then find the value of f(0)dot

Suppose, the function f(x)-f(2x) has the derivative 5 at x=1 and derivative 7 at x=2 . The derivative of the function f(x)-f(4x) at x=1 , has the value 10+lambda , then the value of lambda is equal to……..

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

Let f: R->R be a continuous function and f(x)=f(2x) is true AAx in Rdot If f(1)=3, then the value of int_(-1)^1f(f(x))dx is equal to (a)6 (b) 0 (c) 3f(3) (d) 2f(0)

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. How many times digit 5 appears in writing natural numbers from 1 to 10...

    Text Solution

    |

  2. If the roots x^5-40 x^4+P x^3+Q x^2+R x+S=0 are n G.P. and the sum of ...

    Text Solution

    |

  3. If for the function f(x)=1/4x^2+b x+10 ;f(12-x)=f(x)AAx in R , then t...

    Text Solution

    |

  4. The value(s) of a, so that following equation (s) have common root(s...

    Text Solution

    |

  5. A road network as shown in the figure connect four cites. In how many ...

    Text Solution

    |

  6. If f(x) be continuous function AAx in R-{-2} and satisfies, x^3-x^2(f...

    Text Solution

    |

  7. "Let "f(x)=((2^(x)+2^(-x))sin x sqrt(tan^(-1)(x^(2)-x+1)))/((7x^(2)+3x...

    Text Solution

    |

  8. Consider the equation x ^(3) -ax ^(2) +bx-c=0, where a,b,c are ration...

    Text Solution

    |

  9. The area of the region defined by x^2+y^2lt=pi^2 and ygeqsinxdot is ...

    Text Solution

    |

  10. It is given that the Rolles' theorem holds for the function f(x)=x^3...

    Text Solution

    |

  11. Let A=int(0)^(1)(e^(x))/(x+1) dx then answer the following questions i...

    Text Solution

    |

  12. If vec a=2x^2 hat i+4x hat j+ hat ka n d vec b=7 hat i-2 hat j+x hat ...

    Text Solution

    |

  13. if (y^(2)-y+1)[x-2]lty^(2)+y+1,AAyepsilonR then ([.] denotes G.I.F) nu...

    Text Solution

    |

  14. Let f(x)=e^(x),g(x)={:{(x^(2),if,xlt(1)/(2)),(x-(1)/(4),if,xge(1)/(2))...

    Text Solution

    |

  15. Consider the set of eight vectors V[ahati+bhatj+chatk:a,b,c in {1-1}]....

    Text Solution

    |

  16. Given the function f(x) = 1/( 1-x) , The points of discontinuity of th...

    Text Solution

    |

  17. Function g(x)=2f((x^(2))/(2))+f(6-x^(2)) for all xepsilonR is decreasi...

    Text Solution

    |

  18. Odds 8 to 5 against a person who is 40 years old living till he is ...

    Text Solution

    |

  19. Solve the following for x : tan^(-1)2x+tan^(-1)3x=npi+(3pi)/4

    Text Solution

    |

  20. The value of (lim)(nvecoo)((sin{2/n})/([2nt a n1/n](t a n1/n))+1/(n^2...

    Text Solution

    |