Home
Class 12
MATHS
The number of points at which the functi...

The number of points at which the function `f(x)=max {a-x, a+x, b}, -oo lt x lt oo, 0 lt a lt b` cannot be differentiable

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2015

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

  • QUESTION PAPER 2017

    WB JEE PREVIOUS YEAR PAPER|Exercise Multiple Choice Questions|75 Videos

Similar Questions

Explore conceptually related problems

The number of points at which the function f(x)="max"{a-x,a+x,b},-ooltxltoo,0ltaltb cannot be differentiable

The function f(x) = "max"{(1-x), (1+x), 2}, x in (-oo, oo) is

Find the intervals in which the function f(x)=sin x-cos x where 0 lt x lt 2pi is increasing.

Find the intervals in which the function f(x)=sin x-cos x where 0 lt x lt 2pi is decreasing.

Prove theat the greatest interger function defined by f(x)= [x], 0 lt x lt 3 is not differentiable at x=1 and x= 2.

Solve 0 lt |x| lt 2

Verify Rolle's theorem for the functions f(x)=log{(x^(2)+ab)/(x(a+b))}" in " a le x le b where 0 lt a lt b .

If 0 lt x lt pi/2 , show that, sin x lt x lt tan x

If f(x)=(x-1)(x-2)(x-3)(x-4) , show that the equation f'(x)=0 has three roots alpha, beta and gamma where 1 lt alpha lt 2, 2 lt beta lt 3 and 3 lt gamma lt 4 .

The area of region for which 0 lt y lt 3 - 2x-x^2 and x gt 0 is

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2016-MULTIPLE CHOICE QUESTIONS
  1. The sum of n terms of the following series, 1^(3)+3^(3)+5^(3)+7^(3)+…....

    Text Solution

    |

  2. If alpha and beta are roots of ax^(2)+bx+c=0 then the equation whose r...

    Text Solution

    |

  3. If omega is an imaginary cube root of unity, then the value of (2-omeg...

    Text Solution

    |

  4. If ""^(n)C(r-1)=36, ""^(n)C(r )=84 and ""^(n)C(r+1)=126 then the value...

    Text Solution

    |

  5. In a group 14 males and 6 females, 8 and 3 of the males and females re...

    Text Solution

    |

  6. The equation x^(3)-yx^(2)+x-y=0 represents

    Text Solution

    |

  7. The locus of the midpoints of chords of the circle x^(2)+y^(2)=1 which...

    Text Solution

    |

  8. The locus of the midpoints of all chords of the parabola y^(2)=4ax thr...

    Text Solution

    |

  9. If [x] denotes the greatest integer less than or equal to x, then the ...

    Text Solution

    |

  10. The number of points at which the function f(x)=max {a-x, a+x, b}, -oo...

    Text Solution

    |

  11. If the parabola x^(2)=ay makes an intercept of length sqrt(40) unit on...

    Text Solution

    |

  12. If f(x) is a function such that f'(x)=(x-1)^(2)(4-x), then

    Text Solution

    |

  13. On the ellipse 4x^(2)+9y^(2)=1, the points at which the tangents are p...

    Text Solution

    |

  14. If varphi(t)={{:("1, for 0" le t lt 1),("0 otherwise"):} then int...

    Text Solution

    |

  15. If the equation x^(2)+y^(2)-10x+21=0 has real roots x=alpha and y=beta...

    Text Solution

    |

  16. If z = sin theta -i cos theta then for any integer n,

    Text Solution

    |

  17. Let f : X to X be such that f(f(x))=x for all x in X and X sube R, the...

    Text Solution

    |

  18. If A, B are two events such that P(A uu B)ge (3)/(4) and (1)/(8)le P(A...

    Text Solution

    |

  19. If the first and the (2n+1)^(th) terms of an AP, GP and HP are equal a...

    Text Solution

    |

  20. The coordinates of a point on the line x+y+1=0 which is at a distance ...

    Text Solution

    |