Home
Class 12
MATHS
If f(x)=ax when a<1 and f(x)= ax^2+bx+2 ...

If `f(x)=ax `when `a<1` and `f(x)= ax^2+bx+2` when `a >= 1` then the values of `a` and `b` for which `f(x)` is differentiable are

A

`a=(3)/(4), b=(1)/(4)`

B

`a=2, b=-2`

C

`a=(3)/(2), b=(1)/(4)`

D

`a=(3)/(4), b=-2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TIPS

    FIITJEE|Exercise OBJECTIVE|84 Videos
  • TIPS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos
  • TIPS

    FIITJEE|Exercise NUERICAL DECIMAL BASED QUATIONS|20 Videos
  • TEST PAPERS

    FIITJEE|Exercise MATHEMATICS|328 Videos
  • TRIGNOMETRIC RATIOS AND IDENTITIES

    FIITJEE|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

find the values of a and b, such that f(x)={x^(2)+1,x is differentiable at x=1

Find the values of aandb if f(x)={ax^(2)+1,x 1 is differentiable at x=1

f(x)={(1/absx,,absx ge1 ),(ax^2+b,,absxlt1):} Find the possible value of a and b given that f(x) is differentiable at x=1

Let f(x)={(x^3+2x^2,x in Q),(-x^3+2x^2+ax, x !in Q)) , then the integral value of 'a' so that f(x) is differentiable at x=1 is

If f(x)=x+1, then write the value of (d)/(dx)(fof)(x)

If f(x) =(ax-b)/(bx-a)=y Find the value of f(y).

Find the values of aandb if f(x)={a+sin^(-1)(x+b),x>=1 and x,x< is differentiable at x=1

If f(x)=ax^(2)-b,|x| =1 is derivable at x=1 then find values of a and b

If f(x)={{:(,ax^(2)-b,ale xlt 1),(,2,x=1),(,x+1,1 le xle2):} then the value of the pair (a,b) for which f(x) cannot be continuous at x=1, is

FIITJEE-TIPS-ASSIGNMENT (SECTION (I): MCQ (SINGLE CORRECT)
  1. Find the period f(x)=sinx+{x}, where {x} is the fractional part of xdo...

    Text Solution

    |

  2. If the function f(x) satisfies the relation f(x + y) =y(|x-1|)/((x-1))...

    Text Solution

    |

  3. If f(x)=ax when a<1 and f(x)= ax^2+bx+2 when a >= 1 then the values of...

    Text Solution

    |

  4. The function f(x) = tan ^-1 x - In(1 + x^2) is increasing for

    Text Solution

    |

  5. A function f : R -> R^+ satisfies f(x+y)= f(x) f(y) AA x in R If f'(0)...

    Text Solution

    |

  6. If f(x) = x^3 + 3x^2 + 12x-2sin x, where f : R ->R, then

    Text Solution

    |

  7. y = f(x) be a real valued function with domain as all real numbers. If...

    Text Solution

    |

  8. if f(x)=sqrt(sec^-1((2-|x|)/4)) then the domain of f(x) is

    Text Solution

    |

  9. If f(x) ={x} + sin ax (where { } denotes the fractional part function)...

    Text Solution

    |

  10. Which of the following is differentiable in the interval (1, 2)?

    Text Solution

    |

  11. If f(x)=lim(n-&gt;oo)[2x+4x^3+6x^5++2n x^(2n-1)] (0ltxlt1) then int f(...

    Text Solution

    |

  12. The integer n for which the lim(x to 0)(cos^(2)x-cosx-e^(x)cosx+e^(x...

    Text Solution

    |

  13. If f(x)=(tan(pi/4+(log)e x))^((log)x e) is to be made continuous at x=...

    Text Solution

    |

  14. Let g(x) = (x-1)^n/(log(cos^m(x-1))) ; 0 lt x lt 2 ,m and n and let p ...

    Text Solution

    |

  15. If f is twice differentiable such that f"(x)=-f(x) f'(x)=g(x),h'(x)=...

    Text Solution

    |

  16. lim(x->0) (tan^2[x])/([x]^2), where [] represents greatest integer fun...

    Text Solution

    |

  17. lim(xrarr1^(+))(log(sqrt2)sqrt2x)^(1/({x})) where [ ] represents great...

    Text Solution

    |

  18. The value of lim(xto(pi)/4)(4sqrt(2)-(cosx+sinx)^(5))/(1-sin2x) is

    Text Solution

    |

  19. lim(xrarrpi)([sinx]+x) is

    Text Solution

    |

  20. The slope of the tangent of the curve y=int0^x (dx)/(1+x^3) at the poi...

    Text Solution

    |