Home
Class 12
MATHS
Consider the function f(x)=min{1,1+x sin...

Consider the function `f(x)=min{1,1+x sinx} x in [o,pi]`

A

Continuous & differentiable everywhere

B

Discontinuous at `x=pi/2`

C

Continuous but not differentiable at `pi/2`

D

None

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=sin^(-1)(sinx) , is

Consider the function f(x) = |x^(3) + 1| . Then,

Consider the function: f(x)=max.{1,|x-1|, min {4,|3x-1|}}AA x in R. Then find the value of f(3).

Consider the function f(x)=min{|x^(2)-9|,|x^(2)-1|} , then the number of points where f(x) is non - differentiable is/are

Consider the function f(x)=min{|x^(2)-4|,|x^(2)-1|} , then the number of points where f(x) is non - differentiable is/are

The function f(x)=((1)/(2))^(sinx) , is

The range of the function f(x)=cosec^(-1)[sinx] " in " [0,2pi] , where [*] denotes the greatest integer function , is

Find the number of critical points of the function f (x) = min (tan x , cos x) , x in (0 , pi)

Consider the function f(x)=(1-sinx)/((pi-2x)^(2)) where xne(pi)/(2)andf((pi)/(2))=lambda What is the value of lambda . If the function is continuous at x=(pi)/(2) ?

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. The sides of a cuboid are 2x,4x , 5x. There is a closed hemisphere of ...

    Text Solution

    |

  2. If the given system alphax+y+z=5 , x+2y+4z=4 and x+3y+5z=beta has infi...

    Text Solution

    |

  3. Consider the function f(x)=min{1,1+x sinx} x in [o,pi]

    Text Solution

    |

  4. The mean of 50 observation is 15 and the standard deviation is 2.Howev...

    Text Solution

    |

  5. A digit number is randomly formed, find the probability that its commo...

    Text Solution

    |

  6. Find the eccentricity of locus of midpoint of line segments joining (4...

    Text Solution

    |

  7. Let a1 , a2, a3 . . . are in GP such that a2+a4=2a3+1 , a2+a3=2a4 then...

    Text Solution

    |

  8. If slope of common tangent of circle x^2+y^2=12 and ellipse x^2/9+y^2/...

    Text Solution

    |

  9. The number of three-digit number n such that greatest common divisor (...

    Text Solution

    |

  10. If the probability that 6 digit number formed using 8 and 1 which is d...

    Text Solution

    |

  11. int-2^2 abs(x^3+x)/(1+e^(xabsx))dx

    Text Solution

    |

  12. The value of cos ((2pi)/7)cos ((4pi)/7)cos ((6pi)/7)

    Text Solution

    |

  13. Find the number of real roots of the equation x^4-4x+1=0

    Text Solution

    |

  14. In a binomial distribution , n=7 and P(X=3)=5P(X=4) then find the sum ...

    Text Solution

    |

  15. 1/5+2/65+3/325+4/1025+ . . . is of the form m/n where m & n are copri...

    Text Solution

    |

  16. f(x)=(2e^(2x))/(e^(2x)+e) then f(1/100)+f(2/100)+. . .+f(99/100)=?

    Text Solution

    |

  17. The lengths of sides of a triangle are 10+x^2 , 10+x^2 and 20-2x^2 . I...

    Text Solution

    |

  18. Find the value of sin^-1(sin ((2pi)/3))+cos^-1(cos((7pi)/6))+tan^-1(ta...

    Text Solution

    |

  19. The area of the polygon , whose vertices are non-real roots of the equ...

    Text Solution

    |

  20. X=sum(n=0)^oo a^n ,Y=sum(n=0)^oo b^n and Z=sum(n=0)^oo c^n where a,b,c...

    Text Solution

    |